1.

Two moles of an ideal gas goes under the process shown in figure. AB and CD are reversible adiabatic process. The efficiency of the cycle isA. `1//4`B. `1//2`C. `3//4`D. `3//5`

Answer» Correct Answer - C
`Q_(DA) = nCP (T_(A) - T_(D))`
`= 2 xx Cp ((P_(0) xx V_(0))/(2R) - (P_(0)v_(0))/(2R))`
`= 2Cp ((P_(0)V_(0))/(2R))`
`Q_(BC) = 2Cp ((P_(0))/(32) xx (8V_(0))/(2R) - (P_(0))/(32) xx (16V_(0))/(2R))`
`= - 2Cp ((P_(0)V_(0))/(8R))`
(Negative sign shows loss in heat)
`eta = 1 - (Q_(BC))/(Q_(DA)) = (3)/(4)`


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