The first law of thermodynamics is a statement of:
1. conservation of heat
2. conservation of work
3. conservation of momentum
4. conservation of energy

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:

A system can be taken from the initial state \(P_1, V_1\) to the final state \(P_2,V_2\) by two different methods. Let \(\Delta Q\) and \(\Delta W\) 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?

Choose the correct option from the options given below:

The work done by a sample of an ideal gas in the process \(A\) is doubles the work done in another process \(B.\) The temperature rises through the same amount in the two processes. If \(C_A\) and \(C_B\) are the molar heat capacities for the two processes, then:
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)