A gas is contained in a metallic cylinder fitted with a piston. The piston is suddenly moved in to compress the gas and is maintained at this position. As time passes the pressure of the gas in the cylinder

1.  increases

2.  decreases

3.  remains constant

4.  increases or decreases depending on the nature of the gas

The pressure \(p\) and volume \(V\) of an ideal gas both increase in a process.

Choose the correct option:
1. (a), (b) 
2. (b), (c) 
3. (c), (d) 
4. (a), (d) 

In a process on a system, the initial pressure and volume are equal to the final pressure and volume.

(a) The initial temperature must be equal to the final temperature.

(b) The initial internal energy must be equal to the final internal energy.

(c) The net heat given to the system in the process must be zero.

(d) The net work done by the system in the process must be zero

Choose the correct option 

1.  (a) , (b) 

2. (b) , (c) 

3. (c) , (d) 

4. (a) , (d) 

A system can be taken from the initial state p₁, V₁ to the final state p₂ , V₂ by two different methods. Let ΔQ and ΔW represent the heat given to the system and the work done by the system. Which of the following must be the same in both the methods ?

1.  ΔQ

2.  ΔW

3.  ΔQ + ΔW

4.  ΔQ – ΔW

Choose the correct option 

1.  (a) , (b) 

2. (b) , (c) 

3.  (d) only

4. (a) , (d) 

Refer to figure given below. Let \(ΔU_1\) and \(ΔU_2\) be the change in internal energy in processes \(A\) and \(B\) respectively, \(ΔQ\) be the net heat given to the system in process \(A + B\) and \(ΔW\) be the net work done by the system in the process \( A + B.\)

For the above figure:

Choose the correct option:

The internal energy of an ideal gas decreases by the same amount as the work done by the system.

(a) The process must be adiabatic.

(b) The process must be isothermal.

(c) The process must be isobaric.

(d) The temperature must decrease

Choose the correct option 

1.  (a) , (b) 

2. (b) , (c) 

3. (c) , (d) 

4. (a) , (d) 

Work done by a sample of an ideal gas in a process A is double the work done in another process B. The temperature rises through the same amount in the two processes. If CA and CB be the molar heat capacities for the two processes,

1.  C_A = C_B

2.  C_A < C_B 

3.  C_A > C_B 

4.  C_A and C_B cannot be defined

For a solid with a small expansion coefficient,

1.  C_p - C_V = R

2.  C_p = C_V 

3.  C_p is slightly greater than C_V

4.  C_p is slightly less than C_V

The value of C_p – C_V is 1.00 R for a gas sample in state A and is 1.08 R in state B. Let p_A , p_B denote the pressures and T_A and T_B denote the temperatures of the states A and B respectively. Most likely

1.  p_A < p_B and T_A > T_B

2.  p_A > p_B and T_A < T_B 

3.  p_A = P_B and T_A < T_B

4.  p_A > p_B and T_A = T_B