`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 :

Options

A. 0.15
B. 0.5
C. 0.2
D. 0.25

Answer

B

Explanation

At A,temprature`=t_(0),volume=V_(0)`,
Pressure-`P_(0)` for n moles of monoatomic gas At A,`P_(0)V_(0)=nRT_(0)`(cold) At B,`2P_(0)V_(0)=nRT'_`(high)`to``T=2T_(0)`
Maximum thermal eficiency of the reversible engine of this carnot's cycle
`=eta=1-(T_(c))/(T_(h))=1-(T_(0))/(2T_(0))=(1)/(2)=50%`