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If R = universal gas constant, the amou...

If `R = ` universal gas constant, the amount of heat needed to raise the temperature the temperature of `2 mol` of an ideal monatomic gas from `273 K` to `373 K` when no work is done is

A

100R

B

150R

C

300R

D

500R

Text Solution

Verified by Experts

The correct Answer is:
C
As no work is done, `therefore, DeltaW=0`
According to first law of thermodynamics
`Delta Q =DeltaU+DeltaW=DeltaU=nC_(V)DeltaT=n(R )/(gamma-1)DeltaT`
Here n=2, `gamma =(5)/(3)`
`DeltaT=T_(2)-T_(1)=(373-273)=100K`
`DeltaQ=(2xx(R))/((5/3)-1)xx100=300R`
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