\(70\) calories of heat is required to raise the temperature of \(2\) mole of an ideal gas at constant pressure from \(30^\circ~\mathrm{C}\) to \(35^\circ~\mathrm{C}.\) The amount of heat required to raise the temperature of the same gas through the same range at constant volume is:
1. \(30\) calories
2. \(50\) calories
3. \(70\) calories
4. \(90\) calories

The figure shows a process on a gas in which pressure and volume both change. The molar heat capacity for this process is C.

1.   C = 0

2.   C = C_V 

3.   C > C_V

4.   C < C_V

The molar heat capacity for the process shown in the following figure is:
  

1.  C = C_p

2.  C = C_v 

3.  C > C_V

4.  C =0

In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

1.  0.25%

2.  0.5%

3.  0.7%

4.  1%.

In an adiabatic process on a gas with y = 1.4, the pressure is increased by 0.5%. The volume decreases by about

1.  0.36%

2.  0.5%

3.  0.7%

4.  1%.

Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same. The final pressures in A and B are p_A and p_B respectively.

1.  P_A > P_B

2.  P_A = P_B

3.  P_A < P_B

4.  The relation between p_A and p_B cannot be deduced.

Let T_a and T_b be the final temperatures of the samples A and B respectively in the previous question.

1.  T_a < T_b

2.  T_a = T_b

3.  T_a > T_b

4.  The relation between T_a and T_b cannot be deduced.
Previous Question: Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same.

Let ΔW_a and ΔW_b be the work done by the systems A and B respectively in the previous question.

1.  ΔW_a > ΔW_b

2.  ΔW_a = ΔW_b 

3.  ΔW_a < ΔW_b 

4.  The relation between ΔW_a and ΔW_b cannot be deduced

Previous Question: Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same.

The molar heat capacity of oxygen gas at STP is nearly 2.5 R. As the temperature is increased, it gradually increases and approaches 3.5 R. The most appropriate reason for this behaviour is that at high temperatures

1.  oxygen does not behave as an ideal gas

2.  oxygen molecules dissociate in atoms

3.  the molecules collide more frequently

4.  molecular vibrations gradually become effective

A gas kept in a container of finite conductivity is suddenly compressed. The process

a.  must be very nearly adiabatic

b.  must be very nearly isothermal

c.  may be very nearly adiabatic

d.  may be very nearly isothermal

Choose the correct option 

1. (a) , (b) 

2. (b) , (c) 

3. (c) , (d) 

4. (a) , (d)