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Statement of a problem № 439

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An ideal gas with the adiabatic exponent γ undergoes a process in which its internal energy relates to the volume as U = aVα, where a and α 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 ΔU; (b) the molar heat capacity of the gas in this process.

Solution:
An ideal gas with the adiabatic exponent γ undergoes a process in which its int

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