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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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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 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:

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 50

Two cylinders fitted with pistons and placed as shown, connected with string through a small tube of negligible volume, are filled with a gas at pressure $P_{0}$ and temperature $T_{0}$ . The radius of smaller cylinder is half of the other. If the temperature is increased to $2 T_{0}$ , find the pressure, if the piston of bigger cylinder moves towards left by $1$ metre ?

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 51

Two identical containers

A

and

B

having same volume of an ideal gas at the same temperature have mass of the gas as

m_{A}

and

m_{B}

respectively.

2 m_{A} = 3 m_{B}

. The gas in each cylinder expand isothermally to double its volume. If the change in pressure in

A

Δp

, find the change in pressure in

B

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 52

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (Figure). If the temperature is increased,

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 3 - Kinetic Theory of Gases>Exercises>Q 53

1

mole of

H_{2}

gas is contained in a box of volume

V = 1.00 m^{3}

T = 300 K

. The gas is heated to a temperature of

T = 3000 K

and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)

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 is1 atm1×105 N/m2, its density is (gas constant R=25/3 J/molK )

Important Questions on Kinetic Theory of Gases

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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 $R = 25 / 3 J / molK$ )