# (a) Show that for a closed system ∆S = (Cp/T )∆T – Vβ∆p. (b) For water, the…

(a) Show that for a closed system ∆S = (Cp/T )∆T – Vβ∆p.

(b) For water, the molar heat capacity is 75.3 J/(K mole), the molar volume is 1.8 × 10−5 m3/mole, and the coefficient of thermal expansion is 2.1 × 10−4/K. What is the change in molar entropy of liquid water if you heat it up from 0 °C to100 °C at atmospheric pressure, at the same time increasing the pressure by 10 000 atm? (1 atm = 1.013 × 105 Pa. You need to integrate.)

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