The temperature of the mixture of one mole of helium and one mole of hydrogen is increased from $0°\mathrm{C}$ to $100°\mathrm{C}$ at constant pressure. The amount of heat delivered will be

1.  600 cal                   

2.  1200 cal

3.  1800 cal                 

4.  3600 cal

A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at \(300\) K. The ratio of the average rotational kinetic energy per ${\mathrm{O}}_2$ molecule to that per ${\mathrm{N}}_2$ molecule is:

A vessel contains 14 gm (7 moles) of hydrogen and 96 gm (3 moles) of oxygen at STP. A chemical reaction is induced by passing electric spark in the vessel till one of the gases is consumed. The temperature is brought back to it's starting value 273 K. The pressure in the vessel is

1.  0.1 atm                       

2.  0.2 atm

3.  0.3 atm                       

4.  0.4 atm

A jar contains a gas and few drops of water at T K. The pressure in the jar is 830 mm of mercury. The temperature of jar is reduced by 1%. The saturated vapour pressure of water at the two temperatures are 30 mm and 25 mm of mercury. Then the new pressure in the jar will be

1.  917 mm of Hg                       

2.  717 mm of Hg

3.  817 mm of Hg                       

4.  None of these

Molar specific heat of oxygen at constant pressure ${\mathrm{C}}_{\mathrm{P}}=7.2 \mathrm{cal}/\mathrm{mol}°\mathrm{C} \mathrm{and} \mathrm{R}=8.3 \mathrm{joule}/\mathrm{mol}/\mathrm{K}.$ At constant volume, 5 mol of oxygen is heated from $10°\mathrm{C} \mathrm{to} 20°\mathrm{C},$ the quantity of heat required is approximately

1.  $25 \mathrm{cal}$                               

2.  $50 \mathrm{cal}$

3.  $250 \mathrm{cal}$                             

4.  $500 \mathrm{cal}$

One mole of an ideal gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10 K, the heat required is

1.  198.7 J                 

2.  29 J

3.  215.3 J                 

4.  124 J

(Given the gas constant $\mathrm{R}=8.3 \mathrm{J}/\mathrm{mol}‐\mathrm{K}$)

The expansion of an ideal gas of mass m at a constant pressure P is given by the straight line D. Then the expansion of the same ideal gas of mass 2m at a pressure P/ 2 is given by the straight line , where number on graphs indicate slope , is- 

1.  E                           

2.  C

3.  B                           

4.  A

An experiment is carried out on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of $\frac{\mathrm{PV}}{\mathrm{RT}}$ with P is shown in the diagram. The correct variation will correspond to: (Assuming that the gas in consideration is nitrogen)

The figure below shows the graph of pressure and volume of a gas at two temperatures \(T_1\) and \(T_2.\) Which one, of the following, inferences is correct?

The expansion of unit mass of a perfect gas at constant pressure is shown in the diagram. Here

1. a = volume, b = $°\mathrm{C}$ temperature

2. a = volume, b = $\mathrm{K}$ temperature

3. a = $°\mathrm{C}$ temperature, b = volume

4. a = $\mathrm{K}$ temperature, b = volume