Unformatted text preview: due to a change of pressure. 4) Prove that, during a first ‐ order phase transition: a) The entropy of the entire system is a linear function of the total volume. b) The change of internal energy is given by ∆ܷ ൌ ∆ܪ ቀ1 െ ௗ ் ௗ ቁ 5) a) Prove, that for a single phase, ቀ డ డ் ቁ ௌ ൌ ்௩ఉ b) Calculate ቀ డ డ் ቁ ௌ for ice at ‐ 3 C, where c p = 2.01 kJ/(kg K), v= 1.09 x 10 ‐ 3 m 3 /kg , and =1.58 x 10 ‐ 4 K ‐ 1 . c) Ice is initially at ‐ 3 C and 1.01 x 10 5 Pa. The pressure is increased adiabatically until the ice reaches the melting point. At what temperature and pressure is this melting point? ( Hint: At what point does a line whose slope is ቀ ப୮ ப ቁ ୗ cut a line whose slope is that of the fusion curve, ‐ 1.35 x 10 7 Pa/K ?)...
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 Fall '10
 PeterGrutter
 Physics, Thermodynamics, temperature change, PA., Physics PHYS‐253 Assignment, Joule‐Thomson coefficient , Saturated liquid carbon, first‐order phase transition

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