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p-T diagram of one mole of an ideal mona...

p-T diagram of one mole of an ideal monatomic gas is shown. Processes AB and CD are adiabatic. Work done in the complete cycle is

A

`2.5RT`

B

`-2RT`

C

`1.5RT`

D

`-3.5RT`

Text Solution

Verified by Experts

The correct Answer is:
A
`Q_(n et) =W_(n et)`
`Q_(AB)=Q_(CD)=0`
`Q_(BC)=nC_pDeltaT=(1)(5/2R)(4T-T)`
`=7.5RT`
`Q_(DA)=nC_pDeltaT`
`=(1)(5/2R)(3T-5T)`
`=-5RT`
`:.` `W_(n et)=Q_(n et)=7.5RT-5RT`
`=2.5RT`
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