Question

The internal energy of ideal gas varies with temperature according to relation U = αT. Find the specific heat of gas at constant pressure.

Solution

The specific heat of the gas at constant pressure is given by,

space space space space space space space space space space straight C subscript straight P equals dU over dT plus straight R space Here comma space space straight U equals αT space therefore space space space dU over dT equals straight alpha space Thus comma space space space space straight C subscript straight P equals straight alpha space plus space straight R

C_P is the specific heat of gas at a constant pressure.

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