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An engine operates by taking n moles of ...

An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of the engine is -(Take `C_(v)` = 15.R, where R is gas constant)

A

`0.24`

B

`0.15`

C

`0.32`

D

`0.08`

Text Solution

Verified by Experts

The correct Answer is:
B
`W=P_0V_0`
Heat given `=Q_(AB)=Q_(BC)`
`=nC_VdT_(AB)+nC_PdT_(BC)`
`=(3)/(2)(nRT_B-nRT_A)+(5)/(2)(nRT_(C)-nRT_(B))`
`=(3)/(2)(2P_0V_0-P_0V_0)+(5)/(2)(4P_0V_0-P_0V_0)`
`=(13)/(2)P_0V_0`
`n=(W)/(Q" given ")=(2)/(13)=0.15`.
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