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An ideal gas with the adiabatic exponent...

An ideal gas with the adiabatic exponent `gamma` undergoes a process in which its internal energy relates to the volume as `u = aV^alpha`. Where `a` and `alpha` are constants. Find :
(a) the work performed by the gas and the amount of heat to be transferred to this gas to increase its internal energy by `Delta U` ,
(b) the molar heat capacity of the gas in this process.

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