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The capacity of a vessel is $3 L$ . It contains $6 g$ oxygen, $8 g$ nitrogen and $5 g {CO}_{2}$ mixture at $27 ° C$ . If $R = 8.31 J {mol}^{- 1} K^{- 1}$ , then the pressure in the vessel in $N m^{- 2}$ will be (approx).

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Important Questions on Kinetic Theory of Gases

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 42

A closed vessel of volume

20 L

contains a mixture of Hydrogen and Helium at a temperature of

27 ° C

and pressure

2.0 atm

. The mass of the mixture is

5 g

. Assuming the gases to be ideal, the ratio of the mass of hydrogen to that of helium in the given mixture will be.....[Take

R = 8.3

S.I units]

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 43

Two identical containers

A

and

B

have frictionless pistons. They contain the same volume of an ideal gas at the same temperature. The mass of the gas in

A

m_{A}

and that in

B

m_{B}

. The gas in each cylinder is now allowed to expand isothermally to double the initial volume. The change in the pressure in

A

and

B

, respectively, is

Δp

and

1.5 Δp

. Then

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 44

One mole of an ideal gas at pressure

P_{0}

and temperature

T_{0}

is expanded isothermally to twice its volume and then compressed at constant pressure to

(\frac{V_{0}}{2})

and the gas is brought back to original state by a process in which

P \propto V

(pressure is directly proportional to volume). The correct temperature of the process is

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 45

A vessel contains a mixture of

7 g

of nitrogen and

11 g

of carbon dioxide at temperature

T = 300 K

. If the pressure of the mixture is

1 atm (1 \times 10^{5} N / m^{2})

, its density is (gas constant

R = 25 / 3 J / molK

)

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 46

A spherical balloon contains air at temperature

T_{0}

and pressure

P_{0}

. The balloon material is such that the instantaneous pressure inside is proportional to the square of the diameter. When the volume of the balloon doubles as a result of heat transfer, the expansion follows the law

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 47

The ratio of pressure of the same gas in two containers is

\frac{n_{1} T_{1}}{n_{2} T_{2}}

where

n_{1}

and

n_{2}

are the number of moles and

T_{1}

and

T_{2}

are respective temperatures. If the two containers are now joined find the ratio of pressure to the temperature:

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 48

On an isothermal process, there are two points

A

and

B

at which pressures and volumes are

(2 P_{0}, V_{0})

and

(P_{0}, 2 V_{0})

respectively. If

A

and

B

are connected by a straight line, find the pressure at a point on this straight line at which temperature is maximum:

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 49

In the previous problem, the temperature of the isothermal process is how much lower the maximum temperature:

The capacity of a vessel is 3 L. It contains 6 g oxygen, 8 g nitrogen and 5 g CO2 mixture at 27 °C. If R = 8.31 J mol-1 K-1, then the pressure in the vessel in N m-2 will be (approx).

Important Questions on Kinetic Theory of Gases

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The capacity of a vessel is $3 L$ . It contains $6 g$ oxygen, $8 g$ nitrogen and $5 g {CO}_{2}$ mixture at $27 ° C$ . If $R = 8.31 J {mol}^{- 1} K^{- 1}$ , then the pressure in the vessel in $N m^{- 2}$ will be (approx).