The first law of thermodynamics is a statement of:

Figure shows two processes \(A\) and \(B\) on a system. Let \(\Delta Q_1\) and \(\Delta Q_2\) be the heat given to the system in processes \(A\) and \(B\) respectively. Then:

      
1. \(\Delta Q_1>\Delta Q_2\)
2. \(\Delta Q_1=\Delta Q_2\)
3. \(\Delta Q_1<\Delta Q_2\)
4. \(\Delta Q_1\leq \Delta Q_2\)

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) 

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

Let Q and W denote the amount of heat given to an ideal gas and the work done by it in an adiabatic process,

(a) Q = 0

(b) W = 0

(c) Q = W

(d) Q ≠ W

Choose the correct option 

1. (a) , (b) 

2. (b) , (c) 

3. (c) , (d) 

4. (a) , (d)