Kinetic Theory

A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. B is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If A B = (1 + 1n ), then the value of n is .

The internal energy of air in 4 m 4 m 3 m sized room at 1 atmospheric pressure will be 106 J (Consider air as diatomic molecule)

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 .

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

1. [figure]
2. [figure]
3. [figure]
4. [figure]

The ratio of vapour densities of two gases at the same temperature is 425, then the ratio of r.m.s. velocities will be :

1. 52
2. 254
3. 425
4. 25

The kinetic energy of translation of the molecules in 50 g of CO2 gas at 17 is :

1. 4205.5 J
2. 3582.7 J
3. 3986.3 J
4. 4102.8 J

For a diatomic gas, if 1= ( CpCv ) for rigid molecules and 2= ( CpCv ) for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is correct? (Cp and Cv are specific heats of the gas at constant pressure and volume)

1. 2< 1
2. 2> 1
3. 2= 1
4. 2 2= 1

The temperature of a gas is -78 and the average translational kinetic energy of its molecules is K. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes 2 K is :

1. -78
2. 127
3. -39
4. 117

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27 ). The ratio of specific heat of gases at constant volume respectively is:

1. 32
2. 35
3. 75
4. 53

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

1. Statement I is false but Statement II is true
2. Both Statement I and Statement II are true
3. Statement I is true but Statement II is false
4. Both Statement I and Statement II are false