Mean kinetic energy per degree of freedom of gas molecules is

1.

2. $\mathrm{kT}$

3.

4.

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The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of 1 volt is

1.

2.

3.

4.

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The kinetic energy of one mole gas at 300 K temperature, is E. At 400 K temperature kinetic energy is E'. The value of E'/E is

1.  $1.33$

2.  $\left(\sqrt{\frac{4}{3}}\right)$

3.  $\frac{16}{9}$

4.  $2$

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N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is ${\mathrm{v}}^{2}$ and the mean square of x component of the velocity of molecules of gas A is ${\mathrm{w}}^{2}$. The ratio is $\frac{{\mathrm{w}}^{2}}{{\mathrm{v}}^{2}}$is

1.  $1$

2.  $2$

3.  $\frac{1}{3}$

4.  $\frac{2}{3}$

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A gas is filled in a cylinder, its temperature is increased by 20% on Kelvin scale and volume is reduced by 10%. How much percentage of the gas will leak out

1. 30%

2. 40%

3. 15%

4. 25%

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The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to 30,000 cc at sea level (pressure 1 atmosphere, temperature 27°C). Assuming that the temperature around Mount Everest is –73°C and that the oxygen cylinder has capacity of 5.2 litre, the pressure at which ${\mathrm{O}}_{2}$ be filled (at site) in cylinder is

1.  3.86 atm

2.  5.00 atm

3.  5.77 atm

4.  1 atm

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$\frac{1}{2}$ mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas ) is

1.  3276 J

2.  1638 J

3.  819 J

4.  409.5 J

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The equation of state of a gas is given by $\left(\mathrm{P}+\frac{{\mathrm{aT}}^{2}}{\mathrm{V}}\right){\mathrm{V}}^{\mathrm{c}}=\left(\mathrm{RT}+\mathrm{b}\right),$ where a, b, c and R are constants. The isotherms can be represented by $\mathrm{P}={\mathrm{AV}}^{\mathrm{m}}-{\mathrm{BV}}^{\mathrm{n}},$ where A and B depend only on temperature and

1.

2.

3.

4.

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70 calories of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 30°C to 35°C. The amount of heat required to raise the temperature of same gas through the same range (30°C to 35°C) at constant volume (R = 2 cal/mol/K)

1.  30 cal

2.  50 cal

3.  70 cal

4.  90 cal

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A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is

1. Same everywhere

2. Lower in the front side

3. Lower in the rear side

4. Lower in the upper side