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The work done in adiabatic compression o...

The work done in adiabatic compression of `2` mole of an ideal monoatomic gas by constant external pressure of `2 atm` starting from initial pressure of `1 atm` and initial temperature of `300 K(R=2 cal//"mol-degree")`

A

360 cal

B

720 cal

C

800 cal

D

1000 cal

Text Solution

Verified by Experts

The correct Answer is:
B

`w=DeltaU=n underset(T_(1))overset(T_(2))intC_(vm)dT`
`w=2xx(R )/(gamma-1)(T_(2)-T_(1))`
`(T_(2)-T_(1))/(gamma-1)=-P_("ext")((T_(2))/(P_(2))-(T_(1))/(P_(1)))`
`(T_(2)-300)/((5)/(3)-1)=-2((T_(2))/(2)-(300)/(1))`
`1.5 T_(2)-450 =-T_(2)+600implies T_(2)=420 K`
`w=2xx(2)/((5)/(3)-1)(420-300)=720`
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