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Find the amount of work done to increase the temperature of one mole jof an ideal gas by `30^(@)C`, if it is expanding under condition `VooT^(2//3)`.

Text Solution

Verified by Experts

Given `G=kT^(2//3)`
`:.dV=kxx2/3T^(-1//3)dT=2/3kT^(-1//3)dT`
Work done `dW=PdV`
`=(RT)/VdV`
`=(RT)/(kT^(2//3))xx2/3T^(-1//3)xxdT=2/3R(dT)`
Total workdone `W=2/3Rint_(T_(1))^(T_(2))dT`
`=2/3R[T_(2)-T_(1)]`
`=2xx1.99xx30=39.8`cal=167J`
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