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An ideal diatomic gas occupies a volume ...

An ideal diatomic gas occupies a volume `V_(1)` at a pressure `P_(1)`. The gas undergoes a process in which the pressure is proportional to the volume. If at the end of the process the R.M.S. speed of the gas molecules has doubled its intial value, then the heat supplied to the gas, in the given process, is

A

`7P_(1)V_(1)`

B

`8P_(1)V_(1)`

C

`9P_(1)V_(1)`

D

`10P_(1)V_(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`Q = nCDeltaT = n(3R)DeltaT = n(3R)(3T) = 9nRT = 9 P_(1)V_(1)`
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