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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

`(1)/(2)RDeltaT`

B

`(3)/(2)RDeltaT`

C

`(2)/(3)RDeltaT`

D

`(1)/(3)RDeltaT`

Text Solution

Verified by Experts

The correct Answer is:
A
VT = K
From ideal gas equation pv = nRT
`PV^(2)=` Constant
For polytrophic
`=w=(P_(1)V_(1)-P_(2)V_(2))/(x-1)=nR((T_(1)-T_(2)))/(x-1)`
`=(-nRDeltaT)/(2-1)=-nRDeltaT`
`Q=Deltau+w`
`Q=(3)/(2)RDeltaT-nRDeltaT=(1)/(2)RDeltaT`
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