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When an ideal diatomic gas is heated at ...

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is :

A

`2/5`

B

`3/5`

C

`3/7`

D

`5/7`

Text Solution

Verified by Experts

The correct Answer is:
D
`d Q=dW+dU`
`dQ =PdV +dU `
`dQ =nRdT +dU (dU =(nfRdT)/(2))`
`dQ =(2dU)/(f) +dU `
`rArr (dU)/(dQ)=(1)/(2/f+1) (f=5)`
`(dU)/(dQ)=5/7`
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