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how can we use Cp.dT to evaluate compressor work even when one side (inlet side) is having different pressure than other side (outlet side). Cp should be used for constant pressure!

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- Thread starter rishi kush
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Chestermiller

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For a constant pressure process, the amount of heat Q is equal to ##C_p\Delta T##. Otherwise, Q is not equal to that. But, for an ideal gas, irrespective of the pressure variation, the enthalpy change ##\Delta H## is always equal to ##C_p\Delta T##. This is because, in thermodynamics, ##C_p## is defined in terms of the enthalpy change rather than in terms of the amount of heat transferred. The two definitions match only if the pressure is constant.

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Chestermiller

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If you have a heat capacity which varies with temperature, you integrate ##dH=C_pdT## between the initial and final temperatures to get the enthalpy change.

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