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N moles of a monoatomic gas is carried r...

`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

0.15

B

0.5

C

0.2

D

0.25

Text Solution

Verified by Experts

The correct Answer is:
B

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%`
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