Determine efficiency of carnot cycle if in adiabatic expansion volume 3 times of initial and r=1.5.

Options

A. `1-(1)/(sqrt(2))`
B. `1-(1)/(sqrt(3))`
C. `1+(1)/(sqrt(2))`
D. `1+(1)/(sqrt(3))`

Answer

B

Explanation

`T_(1)V_(1)^(r-1)=T_(2)V_(2)^(r-1)`
`(T_(2))/(T_(1))=((V_(1))/(V_(2)))^(V-1)=((1)/(3))^(1.5-1)=(1)/(sqrt(3))implies etan=1-(T_(2))/(T_(1))=1-(1)/(sqrt(3))`Ans.