The efficiency of Carnot's engine operating between reservoirs, maintained at temperatures 27°C and –123°C, is 

(1) 50%

(2) 24%

(3) 0.75%

(4) 0.4%

When an ideal gas (γ = 5/3) is heated under constant pressure, then what percentage of given heat energy will be utilised in doing external work ?

1. 40 %

2. 30 %

3. 60 %

4. 20 %

An ideal monoatomic gas expands in such a manner that its pressure and volume can be related by equation $P{V}^{5/3} = cons\tan t$. During this process, the gas is 

(1) Heated

(2) Cooled

(3) Neither heated nor cooled

(4) First heated and then cooled

Which of the following graphs correctly represents the variation of $\beta =-(dV/dP)/V$ with P for an ideal gas at constant temperature ?

(1)

(2)

(3)

(4)

A cyclic process for \(1\) mole of an ideal gas is shown in the \(V\text-T\) diagram. The work done in \(AB, BC\) and \(CA\) respectively is:

The Carnot cycle (reversible) of gas is represented by a pressure-volume curve as shown in the figure. Consider the following statements:

Which of the statement(s) given above is/are correct?

The heat energy absorbed by a system is going through a cyclic process shown in the figure is:

(1) 10⁷ $\pi$ J

(2) 10⁴ $\pi$ J

(3) 10² $\pi$ J

(4) 10^–3$\pi$ J

When a system is taken from state i to a state f along path iaf, Q = 50 J and W = 20 J.

 If W = –13 J for the curved return path fi, Q for this path is -

1. 33 J

2. 23 J

3. – 7 J

4. – 43 J

An ideal gas is taken from point A to the point B, as shown in the P-V diagram. The work done in the process is -

1. $(P_A-P_B)(V_B-V_A)$

2. $\frac{1}{2}(P_B-P_A)(V_B+V_A)$

3. $\frac{1}{2}(P_B-P_A)(V_B-V_A)$

4. $\frac{1}{2}(P_B+P_A)(V_B-V_A)$

Consider a process shown in the figure. During this process the work done by the system -

(1) Continuously increases

(2) Continuously decreases

(3) First increases, then decreases

(4) First decreases, then increases