Kinetic Theory

Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K. Keeping the temperature of one vessel constant at 400 K the second vessel temperature is raised to 500 K. The final pressure in the vessels is kPa.

1. 100
2. 120
3. 90
4. 105

An ideal gas at pressure P and temperature T is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is .

1. 2T
2. 1T
3. 4T
4. 3T

One gas of n1 mole of molecules at temperature T1, volume V1, and pressure P1, and another gas of n2 mole of molecules at temperature T2, volume V2, and pressure P2, are mixed resulting in pressure P and volume V of the mixture. The temperature of the mixture is .

1. (T1+T2)2
2. T1T2PVT2P1V1+T1P2V2
3. (T2P1V1+T1P2V2)T1T2PV
4. |T1-T2|2

A mixture of carbon dioxide and oxygen has volume 8310 cm3, temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the mixture respectively are . (Assume both carbon dioxide and oxygen gases behave like ideal gases) [R = 8.31 J/mol K]

1. 0.15 and 0.18
2. 0.25 and 0.08
3. 0.21 and 0.12
4. 0.13 and 0.20

An insulated cylinder of volume 60 cm3 is filled with a gas at 27 and 2 atmospheric pressure. Then the gas is compressed making the final volume as 20 cm3 while allowing the temperature to rise to 77 . The final pressure is atmospheric pressure.

There are two vessels filled with an ideal gas where volume of one is double the volume of the other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K, at steady state the pressure in the vessels will be (in kPa).

1. 24
2. 4.4
3. 18
4. 6

A container of fixed volume contains a gas at 27 . To double the pressure of the gas, the temperature of gas should be raised to .