Helium gas goes through a cycle ABCDA (consisting of two isochoric and isobaric lines) as shown in figure Efficiency of this cycle is nearly: (Assume the gas to be close to ideal gas)

Options

A. `15.4%`
B. `9.1%`
C. `10.5%`
D. `12.5%`

Answer

A

Explanation

(a) Heat given to system =`(nC_VDeltaT)_(AtoB)+(bC_PDeltaT)_(BtoC)`
`=[3/2(nRDeltaT)]_(AtoB)+[5/2(nRDeltaT)]_(BtoC)`
`[3/2xxV_0DeltaP]_(AtoB)+[5/2xx2P_0xxV_0]`
`=13/2P_0V_0`
and `W_0=P_0V_0`
`eta=Work/(heat given)=(P-0V_0)/(13/2P_0V_0)xx100=15.4%`