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The volume (V) of a monoatomic gas varie...

The volume (V) of a monoatomic gas varies with its temperature(T) as shown in the graph. The ratio of work donw by the gas to the heat absorbed by it, when it undergoes a change fab rom state A to state B is

A

`1/3`

B

`2/3`

C

`2/5`

D

`2/7`

Text Solution

Verified by Experts

The correct Answer is:
C
Given process is isobaric
`dQ=nC_(p)dT`
`dQ=n((5)/(2)R)dT`
`dW=P dV =ndT`
Required ratio `=(dW)/(dQ)=(nRdT)/(n((5)/(2)R)dT)=(2)/(5)`
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