N moles of a monoatomic gas is carried round the reversible rectangular cycle ABCDA as shown in the diagram. The temperature at A is T0 . The thermodynamic efficiency of the cycle is

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 T0 . The thermodynamic efficiency of the cycle is (A) 15% (B) 50% (C) 20% (D) 25%

Tardigrade Admin · Accepted Answer

Maximum efficiency of reversible process is given by η=1-(T/T') At A P0 V0 =n R T0 At B 2 P0 V0 =n R T' T' = 2 T0 ∴ η=1-(T0/2 T0) =(1/2)=50 %

Q. $N$ moles of a monoatomic gas is carried round the reversible rectangular cycle $A BC D A$ as shown in the diagram. The temperature at $A$ is $T_{0}$ . The thermodynamic efficiency of the cycle is

15%

50%

20%

25%

Maximum efficiency of reversible process is given by
$η = 1 - \frac{T}{T ^{'}}$
At $A P_{0} V_{0} = n R T_{0}$
At $B 2 P_{0} V_{0} = n R T^{'}$
$T^{'} = 2 T_{0}$
$∴ η = 1 - \frac{T _{0}}{2 T _{0}}$
$= \frac{1}{2} = 50%$

Q. N moles of a monoatomic gas is carried round the reversible rectangular cycle ABCDA as shown in the diagram. The temperature at A is T0​ . The thermodynamic efficiency of the cycle is

15%

50%

20%

25%

Maximum efficiency of reversible process is given by η=1−T′T​ At AP0​V0​=nRT0​ At B2P0​V0​=nRT′ T′=2T0​ ∴η=1−2T0​T0​​ =21​=50%

Q. $N$ moles of a monoatomic gas is carried round the reversible rectangular cycle $A BC D A$ as shown in the diagram. The temperature at $A$ is $T_{0}$ . The thermodynamic efficiency of the cycle is

Maximum efficiency of reversible process is given by
$η = 1 - \frac{T}{T ^{'}}$
At $A P_{0} V_{0} = n R T_{0}$
At $B 2 P_{0} V_{0} = n R T^{'}$
$T^{'} = 2 T_{0}$
$∴ η = 1 - \frac{T _{0}}{2 T _{0}}$
$= \frac{1}{2} = 50%$