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A sample of ideal gas (gamma=1.4) is hea...

A sample of ideal gas `(gamma=1.4)` is heated at constant pressure. If an amount of 100 J heat is supplied to the gas, the work done by the gas is

A

28.57 J

B

56.54 J

C

38.92 J

D

65.38 J

Text Solution

Verified by Experts

The correct Answer is:
A
`dQ=n C_(p)dT`
`dU=nC_(V)dT`
`dW=dQ-dU=n(C_(p)-C_(V))dT`
`(dW)/(dQ)=(nC+_(p))-(C_(V)dT)/(nC_(p)dT)=(C_(p))/(C_(p))-(C_(V))/(C_(P))`
`(dW)/(100)=1-(C_(V))/(C_(p))=1-(1)(1.4)=(0.4)/(1.4)=(4)/(14)=(2)/(7)`
`dW=100xx(2)(7)=28.57 J`
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