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A diatomic gas is used in car not heat e...

A diatomic gas is used in car not heat engine having efficiency 80% . Find the ratio of initial volume to final volume of gas during adiabatic expansion.

A

`((1)/(5))^((3)/(2))`

B

`((1)/(3))^((5)/(2))`

C

`((1)/(5))^((5)/(2))`

D

`((1)/(5))^((2)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
C
`eta=1-(T_(2))/(T_(1))`
`0.8=1-(T_(2))/(T_(1))`
`(T_(2))/(T_(1)) =0.2`
`T_(2)V_(2)^(gamma-1) =T_(1)V_(1)^(gamma-1)`
`((V_(2))/(V_(1)))^(gamma-1)=(T_(1))/(T_(2))= 5`
`(V_(1))/(V_(2))=((1)/(5))^((5)/(2))`
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