Question

6. Prove the following thermodynamic relations using the chain rules and thermodynamic laws. әСр ӘСр Эн - Cp -) Сp(1— = (а) әт (b) KT т Р аСр a2v кСу - T эт? ЭР т (c) (d) ЭР V Та - 1 VaT ән V т (ө) (ӘР (g) aP (fav Ср k т н Ср dT эу dP (h) Р

Answer 1

TdI T K T frem Jaule-FBomeon Caefficlert MaT-3) SP H Сp yRermodynamie eas ef tete as 4d constant in . Hence, Eq. So from eq +1-0 + HoT P araply 7av, and Pave Stnce ,we oon of sta V MoT Cp dV any and v (dT-1) VaT-v Bea dT- or Td-1 He ue to ermi drive he fi

-T hapg A Sinu we Jbad frem (Sinu His a Stecte functien) rom thenmodynamic uquaton of stet Эн +V T Sto Nowfrem quoten , Proved S A Gn ЭP И P