Prove that (a) (left(frac{partial C_{P}}{partial P} ight)_{T}=-Tleft(frac{partial^{2} V}{partial T^{2}} ight)_{P}) (b) (left(frac{partial C_{V}}{partial V} ight)_{T}=Tleft(frac{partial^{2} P}{partial T^{2}}

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Prove that

(a) $\left(\frac{\partial C_{P}}{\partial P}\right)_{T}=-T\left(\frac{\partial^{2} V}{\partial T^{2}}\right)_{P}$

(b) $\left(\frac{\partial C_{V}}{\partial V}\right)_{T}=T\left(\frac{\partial^{2} P}{\partial T^{2}}\right)_{V}$

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Introduction To Chemical Engineering Thermodynamics

ISBN: 9788120348974

2nd Edition

Authors: HALDER

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Question Posted: May 02, 2024 01:43 AM

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Prove that (a) (left(frac{partial C_{P}}{partial P} ight)_{T}=-Tleft(frac{partial^{2} V}{partial T^{2}} ight)_{P}) (b) (left(frac{partial C_{V}}{partial V} ight)_{T}=Tleft(frac{partial^{2} P}{partial T^{2}}

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Introduction To Chemical Engineering Thermodynamics

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