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2 mole of an ideal monoatomic gas underg...

2 mole of an ideal monoatomic gas undergoes a reversible process for which `PV^(2)=C`. The gas is expanded from initial volume of 1 L to final volume of 3 L starting from initial temperature of 300 K. Find `DeltaH` for the process :

A

`-600` R

B

`-1000` R

C

`-3000` R

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`P_(2)V_(2)^(2)=P_(1)V_(1)^(2)`
`(P_(2))/(P_(1))=((V_(1))/(V_(2)))^(2)`
Now, `(T_(2))/(T_(1))=(P_(2)V_(2))/(P_(1)V_(1))=(V_(1))/(V_(2))=(1)/(3)`
`therefore" "T_(2)=(300)/(3)=100K`
`DeltaH=nC_(p,m)DeltaT`
`=2xx(5)/(2)Rxx(-200K)=1000R`
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