Question

N moles of a monoatomic gas is carried round the reversible rectangular cycle ABCDA as shown in the diagram. The temperature at $A$ is $T_0$ . The thermodynamic efficiency of the cycle is

• A. $15\%$
• B. $50\%$
• C. $20\%$
• D. $25\%$

Answer 1

The correct option is B $50\%$

$\begin{array}{c}AtA{P}_0{V}_0=nR{T}_0\to \left(i\right)\\ AtB2P_0{V}_0=nR{T}_1\to \left(ii\right)\end{array}$

Efficiency of thermodynamic cycle

$\eta =1-\frac{T_B}{T_A}$

$By\left(i\right)and\left(ii\right)$

$\frac{T_B}{T_A}=\frac{1}{2}$

$\eta =1-\frac{1}{2}=\frac{1}{2}=50\%$

Option B.