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When an ideal gas undergoes an adiabatic...

When an ideal gas undergoes an adiabatic change causing a temperature change `DeltaT`
(i) there is no heat ganied or lost by the gas
(ii) the work done by the gas is equal to change in internal eenrgy
(iii) the change in internal energy per mole of the gas is `C_(V)DeltaT`, where `C_(V)` is the molar heat capacity at constant volume.

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