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[Solved] What is the value of change in internal energy at 1 atm in the process? H2O(1,323k) → H2O(g, 423 K)

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What is the value of change in internal energy at 1 atm in the process?

H2O(1,323k) → H2O(g, 423 K)

Given : Cv,m (H2O, l) = 75.0 JK–1 mol–1;

Cp,m (H2O, g) = 33.314 JK–1 mol–1

ΔHvap at 373 K = 40.7 kJ/mol

(a) 42.91 kJ/mol

(b) 43086 kJ/mol

(c) 42.6 kJ/mol

(d) 49.6 kJ/mol

1 Answer
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Correct answer: (c) 42.6 kJ/mol

Explanation:

Cv,m(H2O, g) = 33.314 – 8.314

= 25 J/K mol

ΔU2 = ΔH2 – Δng RT = 37.6

ΔUtotal = Δu1 + Δu2 + Δu3

= Cv,m (l) ΔT + ΔVvap + Cv,m (g) ΔT

= \(\frac{75 \times 50}{1000}\) + 37.6 + \(\frac{25 \times 50}{1000}\)

= 42.6 kJ/mol

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