A 269 kg weather balloon is designed to lift a 2910 kg package. What volume should the balloon have after being inflated with helium in order that the total load can be lifted? (Assume standard temperature and pressure, at which the density of air is ρ[tex]_{air}[/tex] = 1.29 kg//[tex]m^{3}[/tex] and the density of helium is ρ[tex]_{He}[/tex] = 0.179 kg/[tex]m^{3}[/tex].)

Answers

Answer 1

As, per the buoyancy force,the volume that the balloon should have is 2863[tex]m^{3}[/tex]

What is buoyancy force?

Air buoyancy is the upward force exerted on an object by the air that is displaced by object. Air buoyancy is responsible for the buoyancy created by the displaced air.

[tex]F_{b}[/tex] = -Vρg ,       where V= volume of the object

                                   ρ = density of the object

                                   g = acceleration due to gravity

                                   [tex]F_{b}[/tex] = buoyant force

The buoyancy force must be equal to the total load lifted

ρ[tex]_{He}[/tex] × V × g + 269 + 2910 = ρ[tex]_{air}[/tex] × V × g

0.179 × V + 3179 = 1.29 V

0.179V + 3179 = 1.29V

0.179V- 1.29V = - 3179

1.11V = 3179

On solving , we get

V = 2863 [tex]m^{3[/tex]

Therefore, the volume that the balloon should have is 2863[tex]m^{3}[/tex].

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Related Questions

Jaime observes a bird sitting in a tree. Based on Newton's law of gravitation, how would Jaime BEST describe the force of gravity between the bird and Earth? A. The force of gravity acting on the bird is equal to the force acting on Earth. B. The force of gravity acting on Earth is greater than the force acting on the bird because Earth has more mass. C. The force of gravity acting on the bird is greater than the force acting on Earth because Earth has more mass. D. The force of gravity acting on the bird is greater than the force acting on Earth because the tree is supporting the bird.

Answers

Answer:

ofooffgggq

i am not

Explanation:

eeffffgggggg

A paramecium is covered with motile hairs called cilia that propel it at a speed of 1 mm/s.. If the paramecium has a volume of 2x10^13m^3 and a density equal to that of water, what is its de Broglie wavelength when in motion? What fraction of the paramecium's 150um length does this wavelength represent?

Answers

The de Broglie wavelength of the paramecium is 3.313 x 10^-19 m.

And the fraction of de Broglie wavelength of the paramecium represents about 2.2 x 10^-17 or 0.00000022% of its 150um leng

The de Broglie wavelength of a particle is given by the equation:

wavelength = h / (mass * velocity) where

h is Planck's constant (6.626 x 10^-34 Js)mass of paramecium = 210^13m^3 * density of water = 210^13 * 1000 kg/m^3 = 2*10^16 kgvelocity of paramecium = 1 mm/s = 10^-3 m/s

So, wavelength = (6.626 x 10^-34 Js) / (2*10^16 kg * 10^-3 m/s) = 3.313 x 10^-19 m

To calculate the fraction of the paramecium's 150um length that this wavelength represents, you would divide the wavelength by the length and multiply by 100%

3.313 x 10^-19 / 150 x 10^-6 = 2.2 x 10^-17

So the de Broglie wavelength of the paramecium represents about 2.2 x 10^-17 or 0.00000022% of its 150um length.

Key points:

The de Broglie wavelength is a concept in quantum mechanics that describes the wave-like properties of particles, such as electrons and atoms.It is named after Louis de Broglie, who first proposed the idea in his Ph.D. thesis in 1923.The wavelength is inversely proportional to the momentum of the particle and is given by the formula: wavelength = h/p, where h is Planck's constant and p is the momentum of the particle.The de Broglie wavelength can be used to explain phenomena such as diffraction and interference, which were previously only observed in wave-like systems.It also plays a key role in the understanding of electron diffraction in solid-state physics, and it is used to calculate the probability of finding an electron in a specific region of space in an atom (wave function)The wavelength can be extremely small, on the order of nanometers or even picometers, for particles with high momenta, such as high-energy electrons in a microscope.The de Broglie wavelength of macroscopic objects, such as the paramecium, is incredibly small.

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the support force on a 10-n book at rest on a table is

Answers

A 10N book resting on a table has a 10N support force acting on it. Gravitational force below and normal force upward are the forces at work on the book.

The gravitational force is directly opposed by the direction of this normal force. If there is no net force acting on the book, it remains in equilibrium. Since the book is at rest in the scenario above, the force exerted on it will also be 10 N. Here, the term "supporting force" refers to the normal reaction of the table to the block; in this case, it is equal to its weight. The book is being pulled down by gravity and being pushed back up by the table. These two forces (action-reaction) are equal and in opposition to one another.

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Four students run up the stairs in the time shown Which student has the largest power output?

Answers

The four students have the same power output. As work done by four of them is same.

What is meant by power and work done?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

Work = Force × Distance is the formula for calculating work. The joule (J), sometimes known as the Newton meter (N m), is the SI unit for work. When an object is moved across a distance of 1 m with 1 N of force, one joule is equal to the amount of work that is accomplished.

Power in physics is referred to as the rate of work. In other terms, it calculates the rate at which energy is changed or transported.

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Complete Question -

Two long straight wires each carry a current I out of the figure toward the viewer (Figure 1) .
I O o 4
o 1
o 2 o 5
o 3
I O o6
Part A
Mark the points in which the magnetic field is zero.
Check all that apply.
Check all that apply.
O 6
O 2
O 1
O 5
O 4
O 3

Answers

Part A Mark the points in which the magnetic field is zero.The points in which the magnetic field is zero are O 2 and O 4.

A magnetic field is a force field that is created by a magnet or a moving electric charge. It is characterized by the direction of the field lines, which show the direction of the magnetic force at a given point, and the magnitude of the field, which is determined by the strength of the magnet or the amount of electric charge. Magnetic fields are used in a variety of applications, including in electric motors, generators, and MRI machines. They can also be found in natural phenomena such as the Earth's magnetic field.

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The electric field 1/5 of the way from a charge q1 to a charge q2 is zero.
How many times larger is q2 than q1 based on the previous statement?

Answers

Due to less information provided, The electric field at 1/5 of the way between two charges can be zero if the charges are of equal magnitude, or if the charges are of unequal magnitude but the distance between the two charges is an exact multiple of 5.

What is Electric Field?

A physical quantity associated with an electric charge or a charged particle is known as an electric field. It is a vector field that describes the force exerted by the first particle on another charged particle.  The electric potential of the charge, which is often measured in volts, defines the strength and direction of an electric field. A vector field is used to describe an electric field, with the electric field vector E at each point in space proportional to the force acting on a unit positive test charge at that point.

What does Magnatitude means?

Magnatitude is a term used to describe the strength or intensity of something, such as an emotion, a physical force, or an event. It is often used to describe the intensity of an earthquake, hurricane, or other natural disaster. In some cases, the term can also be used to describe the power of a person or group, such as the magnatitude of a leader's influence or the magnatitude of a corporation's reach.

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A girl climbs a 12 meter ladder, walks across a 15 meter plank then climbs down another 12 meter ladder as shown in the diagram below. What was the magnitude of the girls displacement

Answers

Hence, the magnitude of the displacement for each girl is 400 m. This is equal to the actual length of the path skated by girl.

What is magnitude of the girls displacement?When the motion is in a fixed direction, the displacement's magnitude equals its distance (one direction ). The size of the displacement without respect to direction is what we refer to as the magnitude (i.e., just a number with a unit). For instance, during a lecture, the professor could pace back and forth repeatedly, covering perhaps 150 metres in total, and still only finish up two metres to the right of her starting place. Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.

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How many joules of net work does this person's lung do during one complete breath?

Answers

During a full breath, the person's lung expends a total of 8.3 joules of energy.

Is Joules a unit of force?

The SI unit of energy, the joule (symbol J), measures a substance's ability to produce heat or do work. The work (or energy wasted) by a force of one newton (N) operating over an one-meter long distance is equivalent to one joule (m).

What is the joule capacity of a battery?

For every Coulomb of charge that a 12-volt battery transfers from a low energy position to a high energy location, it produces 12 Joules of energy. Therefore, a battery's voltage rating only quantifies the energy change of each coulomb of charge that is transferred between terminals.

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I need help please
My answer is correct or no

Answers

Answer:

No its not, the correct option is A) It requires a medium

Explanation:

Sound can go anywhere even in space, so using a medium, is an option , but it doesn't only travel through them.

Have a wonderful day! :-)

A 10-year-old boy has 20/20 distance vision and 20/60 near vision. What refraction abnormality does he have?

Answers

Hyperopia is the refraction abnormality does he have.

What is Hyperopia ?

Farsightedness (farsightedness) is a common visual impairment in which distant objects can be seen clearly, but near objects may be blurred.

See your eye doctor if your farsightedness is preventing you from doing your job, or if the quality of your vision is affecting your enjoyment of activities. He or she can determine your degree of farsightedness and advise you on how to correct your vision .The degree of farsightedness affects your ability to concentrate. People having severe farsightedness can only see distant objects and things clearly, while people with mild farsightedness can see near objects clearly . This condition can be easily corrected with glasses or contact lenses. Another treatment option is surgery.

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the horizontal motion of a plunger with a shaft is subject to the resistance of the attached disk which moves through the oil bath. if the velocity of the plunger is v0

Answers

The plunger's velocity at V0 is v(t) = vo - kx (t)

The direction of a body or object's motion is defined by its velocity. Speed is mainly a scalar quantity. Velocity is fundamentally a vector quantity. It is the pace at which distance changes. It is the displacement's rate of change.

a = -kv

dv/dt = -kv

dv/v = -k dt integrate, lnv(t) = -kt + lnC use v = vo when t = 0 C = vo v(t) = voe-kt

dx/dt equals voe-kt

dx = voe-kt dt integrate,

x(t) = (-vo/k)e-kt + C' usage C' = vo/k

since x(0) = 0 = -vo/k + C'.

x(t) = vo(1 - e-kt)/k

e-kt = 1 - kx(t)/v,

therefore v(t) = vo - kx (t).

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a round bar of 10 mm diameter is made of aluminum alloy 7075-t6 (see figure). when the bar is stretched by axial forces p, its diameter decreases by 0.016 mm. find the magnitude of the load p. obtain the material properties from appendix i.

Answers

The magnitude of the load is 7037.98 N.

What is the original load supported by the bar?

The original load supported by the bar is calculated by applying the formula for tensile strength of aluminum.

τ = 90 MPa

Original area of the aluminum = πd² / 4

A₀ = (  π x 0.01² / 4 )

A₀ = 7.854 x 10⁻⁵ m²

Original load of the aluminum bar;

P₀ = A₀ x τ

P₀ = 7.854 x 10⁻⁵  x 90 x 10⁶ N/m²

P₀ = 7068.58 N

The final area of the bar;

d' = 10 mm - 0.016 mm = 9.98 mm

A' = ( πd'² / 4 )

A' = ( π x 0.00998² / 4 )

A' =  7.82 x 10⁻⁵ m²

P₀/A₀ = P' / A'

P' = ( P₀ / A₀ )A'

P' = ( 7068.58 x  7.82 x 10⁻⁵ ) / ( 7.854 x 10⁻⁵ )

P' = 7037.98 N

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Which of the vectors in the second row shows A? + B? ?

Answers

A + B are displayed in vector C in the second row. The vectors A and B are displayed in the first row when they are at the origin.

Two vectors, A and B, are provided for our consideration.

We must choose the vector that represents vectors A and B from the possibilities shown.

Therefore, we first reposition vector A so that the tail of it begins with the head of vector B.

Its magnitude and direction ought to stay the same even if we alter the location.

The resultant vector now begins at the head of vector A and ends at the tail of vector B after utilizing triangular vector addition.

We simply follow all of the vectors till we find it.

The sum of these two vectors is represented by the vector C.

Hence C = A+B

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You hold a shiny tablespoon at arm's length and look at the front side of the spoon. (a) Is the image you see of yourself upright or inverted? (b) Is the image enlarged or reduced? (c) Is the image real or virtual?

Answers

When holding a shiny tablespoon at arm's length and looking at the front side of the spoon,

a) the image of oneself appears to be inverted

b) the image of oneself appears to be reduced

c) the image of oneself is virtual

This is because the light reflecting off the spoon's surface is being bent, or refracted, by the curved surface of the spoon before it reaches the observer's eye, causing the image to appear upside-down. The image that is seen is also reduced, as the spoon is acting as a small mirror and it is reflecting only a small part of the observer's face, shrinking the size of the image. Finally, the image that is seen is a virtual , as it is not coming from a real object and it is being formed by the reflection of light on the spoon's surface.

Virtual images can't be projected on a screen and can be seen only if you look at the reflecting surface.

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What does it mean if electric field lines are close together versus farther apart?

A.The electric field is smaller.

B.The strength of the electric field is less.

C.The strength of the electric field is greater.

D.The electric field is larger.


What is the force on a 0.0050 C charge in an electric field of 300 V/m?

A.1.5 N

B.60,000 N

C.300.0050 N

D.1.7 × 10−5 N


What is the strength of an electric field in which a charged particle of 3.0 × 10−9 C is 0.05 m from the test charge?

A. 60 N/C

B. 1.1 × 104 N/C

C. 539 N/C

D. 3.6 × 103 N/C

Answers

If electric field lines are close together versus farther apart, the strength of the electric field is greater.

The force on a 0.0050 C charge in an electric field of 300 V/m is 1.5 N.

The strength of an electric field is 1.1 × 10⁴ N/C.

What is field line?

A graphic tool for viewing vector fields is a field line. It is made up of a fictitious integral curve that is perpendicular to the field vector over its entire length.

The force on the charge in the electric field is = 300×0.0050 N = 1.5 N.

The strength of an electric field is = (9 ×10⁹×3.0×10⁻⁹)/(0.05)² N/C = 1.1 × 10⁴ N/C.

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Answer:

1. The strength of the electric field is greater.

2. 1.5 N

3. 1.1 × 104 N/C

(for honors ppl)

1. They represent non-contact electrical forces.

2. The strength of the electric field is greater.

3. 1.5 N

4. 1.1 × 104 N/C

5. approximately 1.45 V/m directed away from the positive charge

6. It increases.

Two objects are placed 0.088meters away from each other. One object has a mass of 730Kg. The resulting attractive force is 0.0053Newtons. Find the mass of the second object.

Answers

Weight and mass are measurements of the amount of substance and the gravitational pull, respectively, on an item. The quantity of matter in an item is its mass. Kilograms are used to measure mass (kg).

What is the meaning of mass of an object?

Weight is the force of gravity acting on an object, whereas mass is the quantity of "matter" (though "matter" may be difficult to define) in an object.  To put it another way, a 1.0 kilogram object weighs about 9.81 newtons on the surface of the Earth, which is equal to its mass times the gravitational field's strength. The object weighs the same amount whether it is on Mars, where gravity is weaker, Saturn, where gravity is stronger, or space, where gravity is light and the object is very far from any important sources of gravity.

The attractive force between two objects is given by the equation F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the objects.

Given that F = 0.0053 N, m1 = 730 kg, and r = 0.088 m, we can solve for m2:

0.0053 N = (6.67 x 10^-11 N*(m^2)/(kg^2)) * (730 kg) * m2 / (0.088 m)^2

Therefore, m2 = 0.0053 N * (0.088 m)^2 / (6.67 x 10^-11 N*(m^2)/(kg^2) * 730 kg)

m2 = 0.0053 N * (0.088 m)^2 / (6.67 x 10^-11 N*(m^2)/(kg^2) * 730 kg)

m2 = 0.0053 / (6.67 * 10^-11 * 730) = 0.0053 / (4.6*10^-9) = 1144.78 kg

So the mass of the second object is approximately 1144.78 kg.

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Suppose we have a circuit with a 7.50-mH inductor in series with a resistor of 3.00 12. What is the current in amps 5.00 milliseconds after the switch is moved to disconnect the battery, if the initial current was 11 A? I = A

Answers

The current in amps 5.00 milliseconds after the switch is moved to disconnect the battery, if the initial current was 11 A found to be 1.488A.

What connection exists between the resistor current and the inductor current?

Inductors oppose changes in current through them by dropping a voltage directly proportional to the rate of change of current, as opposed to resistors, which merely oppose the flow of current through them (by dropping a voltage directly proportional to the current).

I (t=5ms) = Io exp (- Rt/L)

             => 11 exp (- 3 x 5 / 7.5)

             => 1.488A.

What occurs when an inductor and resistor are connected in parallel?

Similar to series circuits, when resistors and inductors are combined in parallel circuits, the overall impedance will have a phase angle between 0° and +90°. The phase angle of the circuit current will be between 0° and -90°.

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You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)

Answers

You would need to survive the thermosphere: The temperature ( 2000° C or more), the cosmic radiation and even solar activities, low air pressure and low air molecule.

What is thermosphere?

The thermosphere is the layer of the atmosphere that is the thickest. It begins at a height of roughly 80 km and rises to about 550 km.

The thermosphere's highlights include the following:

It can be further divided into the ionosphere and exosphere, two further atmospheric layers.The International Space Station travels between 330 and 435 kilometres in its orbit through the thermosphere.The phenomenon known as the Aurora Borealis (Northern Lights) is caused by particles becoming ionised in the ionosphere.Only 0.002% of the atmosphere's total mass resides in the thermosphere and above.

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What happens to the internal energy of a system when mechanical work is done on it? What happens to its temperature?

Answers

When the system performs mechanical work, internal energy decreases.

Explanation:

Likewise, U (internal energy) = Q (heat) + W (work completed). If the system performs work, then work is negative and internal energy declines.

If done quickly, the internal energy will drop, which will lead to a drop in temperature. Any internal energy loss, if gradual, is offset by heat entering the system to maintain the same temperature.

When mechanical work is done on a system, the internal energy of the system increases. The temperature of the system does not necessarily change.

What is temperature?
Temperature
is a physical property of matter that quantitatively expresses the common notions of hot and cold. It is measured by a thermometer and usually expressed in units of degrees Celsius (°C) or Fahrenheit (°F). Temperature is an important parameter in many natural processes and is an essential component of weather forecasting. Temperature is related to the amount of energy in a system; the higher the temperature, the greater the average energy of the system's constituent particles. The average kinetic energy of the particles in a system is proportional to the absolute temperature. Temperature also has an effect on the physical properties of matter, such as its phase and viscosity. Heat transfer from one system to another is a major component of thermodynamics, and is dependent on the temperature difference between the two systems.

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3. A mother was trying to dissuade her son from marrying a girl he had met just three weeks
before. The son's response was, "But I know she's the one; the first time I saw her I began to
tremble and see spots before my eyes, and I had flutters in my chest and strange sensations in
my stomach. When I'm with her, I feel like I could just take off and fly."

Answers

Answer:

He is his choice to leave with

A 600kg roller coaster car is at the top of a loop (it is upside down) that has a radius of 6m. If the normal force on the roller coaster car is -12,000N, how fast is the car moving?

____ m/s (round to the nearest tenth)

Answers

Answer: 77.5 m/s

Explanation: We can use the following equation to calculate the velocity of the roller coaster car:

velocity = sqrt( (normal force + weight) * radius / mass)

where weight is the gravitational force acting on the car (mass * g)

Substituting the given values:

velocity = sqrt( (-12,000 N + (600 kg * 9.8 m/s^2)) * 6 m / 600 kg) = sqrt( -12,000 N + 5,880 N) * 6 m/s = sqrt( -6,120 N) * 6 m/s = 77.5 m/s (round to the nearest tenth)

The negative sign on the normal force indicates that it is acting in the opposite direction of the gravitational force. This can happen when the roller coaster car is upside down, which is the case in this problem

1. A jeweler must melt 44.59 g of silver. Assume the silver starts at room temperature (20°C) and reaches a temperature just above its melting point (T = 1235 K). [Specific heat of silver c = 450 J/ (kg. K), heat of fusion of silver Lf = 1.05×105 J/kg] A. How much heat is transferred in order to raise the silver to its melting point? B. How much heat is transferred during the phase change? C. How much heat is transferred in order for the whole process to take place? 2. A hot rock with mass 250 g is dropped into an equal mass of cool water. Which temperature changes more, that of the rock or that of the water? Explain with reasons.

Answers

How much heat is transferred in order to raise the silver to its melting point.

What is Specific heat?

The amount of heat needed to raise a substance's temperature by one degree Celsius in one gram, also known as specific heat.

Typically, calories or joules per gram per degree Celsius are used as the units of specific heat. For instance, water has a specific heat of 1 calorie (or 4.186 joules) per gram per degree Celsius.

The notion of specific heat was developed by the Scottish scientist Joseph Black in the 18th century as a result of his discovery that equal masses of different substances required varying quantities of heat to raise them through the same temperature range.

Therefore, How much heat is transferred in order to raise the silver to its melting point.

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Please do in degrees. An 14kg block is pulled by a string up a 30* incline by a force of 112N where mu = .15 find the acceleration of the block

Answers

The acceleration of the block is 7.8 m/s².

What do you mean by acceleration?

The rate at which an object's velocity with respect to time changes is referred to as acceleration. It is a vector quantity to accelerate (in that they have magnitude and direction).

To find the acceleration of the block, we can use the equation:

force = mass X acceleration + friction

Rearranging the equation, we can find the acceleration:

acceleration = (force - friction) / mass

The force of friction can be found using the equation:

friction = friction coefficient X normal force

The normal force is equal to the weight of the object, which can be found using the equation:

weight = mass X gravity

So, friction = friction coefficient X mass X gravity

We know that gravity is 9.8 m/s²

friction = .15 * 14 kg * 9.8 m/s²

Now we can substitute this value for friction and the known values for force and mass into the first equation and solve for acceleration:

acceleration = (112 N - 1.47 N) / 14 kg

acceleration = 7.8 m/s²

So, the acceleration of the block is 7.8 m/s².

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The vapor pressure of solid CO2 (dry ice) is 280 torr at -90. oC and 105 torr at -100. oC. a) What is the value of Go for the reaction CO2(s) CO2(g) at each temperature? b) Use the above values for the standard free energies to determine the standard enthalpies and entropies for the sublimation. Assume both quantities are constant over this temperature range. A dry ice bath is used routinely in the laboratory to keep things cold. It is made by mixing dry ice powder with a solvent to make a slurry. Estimate the temperature of the bath to the nearest degree Celcuis by determining the temperature at which the vapor pressure of CO2 is 1 atm.

Answers

a) The standard free energy (ΔG°) for the reaction CO2(s) CO2(g) at -90.0 oC is -28,853 J/mol, and at -100.0 oC is -32,142 J/mol

b) The temperature of a dry ice bath at which the vapor pressure of CO2 is 1 atm is estimated to be around -78 °C.

In part a) of the question, we were asked to determine the standard free energy (ΔG°) for the reaction CO2(s) CO2(g) at -90.0 oC and -100.0 oC.

To do this, we used the Clausius-Clapeyron equation, which relates the change in vapor pressure with temperature to the enthalpy and entropy of sublimation (ΔH° and ΔS°). By rearranging the equation, we were able to calculate the values of ΔH° at -90.0 oC and -100.0 oC to be -28,853 J/mol and -32,142 J/mol respectively.

We then used the same equation to calculate the ΔS° values, which are needed to calculate ΔG° = ΔH° - TΔS°

Now, from Clausius-Clapeyron equation, dP/dT = ΔH°/TΔS°

We can rearrange this equation to solve for ΔH° and ΔS°:

ΔH° = T(dP/dT)ΔS°

At -90.0 oC and 280 torr, ΔH° = -90.0 oC * (105 torr - 280 torr) / (105 torr) = -28,853 J/mol

At -100.0 oC and 105 torr, ΔH° = -100.0 oC * (105 torr - 280 torr) / (105 torr) = -32,142 J/mol

The ΔS° can be calculated using the same equation by substituting the ΔH° values.

In part b) of the question, we were asked to estimate the temperature of a dry ice bath at which the vapor pressure of CO2 is 1 atm. To do this, we used the Clausius-Clapeyron equation again, but this time we used the known value of 1 atm as the vapor pressure and solved for the temperature. P = P₀ * e^(-ΔHₒ/RT)  where,

P₀ = 1 atm R = 8.314 J/mol-K, T is the temperature in Kelvin.

Solving for T, we get T = ΔHₒ / R * ln(P₀/P)

The temperature to the nearest degree Celsius is about -78 °C.

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An HVAC engineer is trying to figure out where a system isn't functioning properly. She is looking at the
control sequence. Which is the last event to happen in this sequence?
A. When the room temperature drops below the setpoint, the room thermostat demands heat and closes a switch
to start the burner.
B. When the air temperature within the bonnet reaches the setpoint of the bonnet controller, the blower motor is
energized.
C. Heated air from the furnace is delivered through ductwork to occupied spaces within the building.
D. The generation of heat within the heat exchanger results in a rapid rise in air temperature within the bonnet. The
blower isn't operating yet.

Answers

The generation of heat within in the heat exchanger results in a rapid rise in air temperature with in the bonnet. The blower isn't operating yet. is the last event to happen in this sequence.

Who is HVAC engineer?

HVAC (Heating, Ventilation, and Air Conditioning) engineers are responsible for designing and maintaining the systems used to ensure comfortable temperatures and air quality in buildings. They must understand the principles of thermodynamics, fluid dynamics, and heat transfer. They must also be able to read and interpret blueprints, diagrams, and manufacturer specifications. Additionally, they must be knowledgeable of local, state, and federal building codes and regulations.  HVAC engineers may also be responsible for overseeing the installation of HVAC systems, monitoring their performance, and troubleshooting any issues that arise.

Option D is the last event to happen because it describes the result of the earlier steps in the control sequence. After the heat is generated in the heat exchanger, the air temperature within the bonnet will rapidly rise and the blower motor won't be operating yet.

Therefore, Option D is the correct answer.

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If you were caught in freezing weather with only your own body heat as a source, discuss whether you'd be warmer in an Arctic igloo or in a wooden shack.

Answers

Answer:

Arctic igloo

Explanation:

An igloo is made up of different components of snow and depending on the type, it will contain air which will help with insulation.  

Rank the vectors in the figure in order of decreasing value of their x component. (Figure 1) Rank from the largest to the smallest. To rank items as equivalent, overlap them.

Answers

The Rank of the vectors is D A C B.

What is Vectors?

In contrast to a scalar number, a vector quantity also includes a direction component that aids in locating one point in relation to another. Here is more information on vectors. A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. In mathematics, a vector's magnitude is defined as the length of a segment of a directed line, and the vector's direction is indicated by the angle at which the vector is inclined.

A vector primarily consists of two elements, the horizontal component and the vertical component. The horizontal component's value is cos, and the vertical component's value is sin. Here is further information about vector components.

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The volume of the gas decreased from 2.40 L to 2.00 L and the final is set at 313 K. Assuming a constant pressure, calculate the law initial temperature of the gas in kelvins

Answers

So, the initial temperature of the gas in kelvins is 375.6 K.

Introduction

Hi! Here I will help you to solve the problem about the relationship between volume and temperature of the gas in a closed system. Look again at the sentence in the problem. It states that gas has a constant pressure in every condition. In other words, this is an isobaric process that also indirectly leads to Charles' Law. Charles' Law states the proportionality between the volume of a gas in a closed system and its absolute temperature. The general equation of Charles' Law in general, is expressed in the equation:

[tex] \boxed{\sf{\bold{\frac{V}{T} = C}}} [/tex]

With the following condition:

V = volume of the gas in closed systemT = temperature of the gas in closed systemC = constant conditionFormula Used

In this case, we can calculate the relationship between changes in temperature and changes in gas volume in a closed system with the following equation:

[tex] \boxed{\sf{\bold{\frac{V_i}{T_i} = \frac{V_f}{T_f}}}} [/tex]

With the following condition:

[tex] \sf{V_i}[/tex] = the volume at initial sample[tex] \sf{V_f}[/tex] = the volume at final sample[tex] \sf{T_i}[/tex] = the temperature at initial sample[tex] \sf{T_f}[/tex] = the temperature at final sample

Problem SolvingWe know that:[tex] \sf{V_i}[/tex] = the volume at initial sample = 2.40 L[tex] \sf{V_f}[/tex] = the volume at final sample = 2.00 L[tex] \sf{T_f}[/tex] = the temperature at final sample = 313 K

What was asked?

[tex] \sf{T_i}[/tex] = the temperature at initial sample = ... K

Step by step:

[tex] \sf{\frac{V_i}{T_i} = \frac{V_f}{T_f}} [/tex]

[tex] \sf{\frac{2.40}{T_i} = \frac{2.00}{313}} [/tex]

[tex] \sf{2.00(T_i) = 2.40(313)} [/tex]

[tex] \sf{T_i = \frac{2.40(313)}{2.00}} [/tex]

[tex] \sf{T_i = 1.20(313)} [/tex]

[tex] \sf{\bold{T_i = 375.6 \: K}} [/tex]

Conclusion

So, the initial temperature of the gas in kelvins is 375.6 K.

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When the word and appears in category titles and code descriptions in the ICD-10-CM Tabular List of Diseases and Injuries, it is:

Answers

When the word and appears in category titles and code descriptions in ICD-10-CM Tabular List of Diseases and Injuries, it is: interpreted as meaning and/or

What is  ICD-10-CM?

ICD-10-CM is clinical modification of the World Health Organization's ICD-10, that consists of a diagnostic system. ICD-10-CM includes level of detail needed for morbidity classification and diagnostic specificity. It also provides code titles and language that complements accepted clinical practice.

Tabular list in the ICD-10-CM is an alphabetical list of ICD-10-CM terms and their corresponding code or category that helps in deciding which section to refer to in Tabular List and it does not always supply the full code.

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The vibration of a 0.3-kg mass on a spring can be described by the equation 0.7cos(1.2t+4.3), where tt is in seconds and x is in meters. Determine the following for this system:
a. The period of the oscillation (in seconds)
b. The total energy in the system (in Joules)
c. The potential energy (in Joules) when the spring is stretched 0.253 m.
d. The kinetic energy (in J) when the spring is stretched 0.253 m.

Answers

a. The period of the oscillation is 0.833 seconds.

b. The total energy in the system is 0.2646 J

c. The potential energy when the spring is stretched 0.253 m is 0.0162 J

d. The kinetic energy  when the spring is stretched 0.253 m is 0.0078 J

The displacement of the mass on the spring is given by the equation x(t) = 0.7cos(1.2t+4.3), where x is in meters and t is in seconds.

The potential energy of a spring-mass system is given by 1/2 kx^2, where

k is the spring constant x is the displacement from the equilibrium position.

Using this equation, we can find the spring constant k by equating the equation for the potential energy to that of the displacement equation:

1/2 kx^2 = 1/2 * 0.7^2 * cos^2(1.2t+4.3)

Solving for k, we get k = 0.7^2 * 1.2^2

a. The period of the oscillation is given by the reciprocal of the frequency, which is 1/1.2=0.833 seconds.

b. The total energy in the system is given by the sum of the potential and kinetic energy.

As we know the spring constant we can calculate the potential energy when mass is at the extreme position,

Potential energy = 1/20.7^21.2^2*0.7^2 = 0.2205 J.

As we know, the mass of the system we can calculate the kinetic energy when mass is at the extreme position,

Kinetic energy = 1/20.31.2^2*0.7^2 = 0.0441 J.

Total energy = kinetic + potential = 0.2205 + 0.0441 = 0.2646 J

c. The potential energy when the spring is stretched 0.253 m can be calculated using the formula 1/2 kx^2, where x is the displacement from the equilibrium position.

Potential energy = 1/20.7^21.2^2*0.253^2 = 0.0162 J

d. The kinetic energy when the spring is stretched 0.253 m can be calculated by using the formula 1/2mv^2, where

v is the velocity at that point m is the mass of the system

v = dx/dt = -1.20.7sin(1.2t+4.3)

Kinetic energy = 1/20.3(-1.20.7sin(1.2t+4.3))^2 = 0.0078 J

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