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The temperature of 4 mol of a gas decrea...

The temperature of 4 mol of a gas decreases from `40^(@)C` to `-60^(@)C` on adiabatic reversible expansion. The molar specific heat of the gas at constant volume being `12J*K^(-1)*mol^(-1)`, determine the change in internal energy and work done in this process.

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Verified by Experts

For an adiabatic expansion,
`w=DeltaU=nC_(V,m)(T_(2)-T_(1))[T_(2)ltT_(2)]`.
`therefore DeltaU=4xx12xx(213-313)J=-4.8kJ` and
`w=DeltaU=-4.8kJ`
`therefore `In the process the change in internal energy=-4.8kJ and the amount of work done=4.8kJ.
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