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In a process, temperature and volume of ...

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT= K, where K is a constant. In this process the temperataure of the gas is increased by `DeltaT`. The amount of heat absorbed by gas is (R is gas constant).

A

`(2K)/3 Detla T`

B

`1/2 R Delta T`

C

`3/2 R Delta T`

D

`1/2 KR Delta T`

Text Solution

Verified by Experts

The correct Answer is:
B
`VT=K implies PV^2=K' " "(K'=nRK)`
Clearly at is a polytropic process with n=2.
`triangle theta= triangleU + omega" or "triangle theta= C_V triangleT+(Rtriangle)/(1-n)" or "C_v= (RtriangleT)/(2)`.
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