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Question

Chemistry Question on Thermodynamics

A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100 °C, then the internal energy for vaporization in kJ mol-1 is ________. [nearest integer]
[Assume steam to be an ideal gas. Given ΔvapHΘ for water at 373 K and 1 bar is 41.1 kJ mol-1; R = 8.31 J K-1 mol-1]

Answer

The correct answer is 38 kJ/mol
H2O(l)H2O(g)H_2O (l) →H_2O (g)
36g\stackrel{36g}{} 36g\stackrel{36g}{}
(evaporation)
nH2O=3618=2n_{H_2O} = \frac{36}{18} = 2
Δng = 1 – 0 = 1
ΔUvap = ΔHvap – ΔngRT
= 41.1 – (1) × 8.31 × 10–3 × 373
= 41.1 – 3.099
= 38 kJ/mol