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Heat is supplied to a diatomic gas at co...

Heat is supplied to a diatomic gas at constant pressure.
The ratio of `DeltaQ : DeltaU : DeltaW` is

A

`5:3:2`

B

`7:5:2`

C

`2:3:5`

D

`2:5:7`

Text Solution

Verified by Experts

The correct Answer is:
B
For a diatomic gas `C_(V)=(5)/(2)R, C_(p)=(7)/(2)R`
`DeltaQ =nC_(p)DeltaT=n((7)/(2)R)DeltaT`
`DeltaU = nC_(V)DeltaT=n((5)/(2)R)DeltaT`
`DeltaW =DeltaQ-DeltaU=nRDeltaT`
`DeltaQ:DeltaU:DeltaW=(7)/(2):(5)/(2):1 or 7:5:2`
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