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The latent heat of vapourization of a liquid at 500 K and 1 atm pressure is 10.0 kcal/mol. What will be the change in internal energy (ΔU) of 3 moles of liquid at the same temperature

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The latent heat of vapourization of a liquid at 500 K and 1 atm pressure is 10.0 kcal/mol. What will be the change in internal energy (ΔU) of 3 moles of liquid at the same temperature

(a) 13.0 kcal/mol

(b) -13.0 kcal/mol

(c) 27.0 kcal

(d) -7.0 kcal/mol

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Correct answer: (c) 27.0 kcal

Explanation:

3H2O(l) → 3H2O(g);

Δn = 3, ΔE = ΔH - ΔnRT

= 30 - 3 x \(\frac{2}{1000}\) x 500

= 27 k cal

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