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Define specific heat capacity at ...

Define specific heat capacity at constant prossure .

Text Solution

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We know,
H=U+PV
Differentiating the above equation with respect to temperature at constant pressure we get
`((dH)/(dT))_P =((dU)/(dT))_P + P((dV)/(dT))_P`
`C=(dq)/(dT)`
But at constant pressure dq=dH
Hence we get ,
`C_P=((dH)/(dT))_P`
Thus heat capacity at constant pressure `(C_P)` is defined as the rate of change of enthalpy we respect to temperature at constant pressure
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