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Assuming that water vapour is an ideal gas, the internal energy change (ΔU) when 1 mol of water is vapourised at 1 bar pressure and 100°C

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Assuming that water vapour is an ideal gas, the internal energy change (ΔU) when 1 mol of water is vapourised at 1 bar pressure and 100°C, (given: molar enthalpy of vapourisation of water at 1 bar and 373 K = 41 kJ mol-1 and R = 8.3 J mol-1 K-1) will be

(a) 41.00 kJ mol-1

(b) 4.100 kJ mol-1

(c) 3.7904 kJ mol-1

(d) 37.904 kJ mol-1

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Correct answer: (d) 37.904 kJ mol-1

Explanation:

Given ΔH = 41 kJ mol-1 = 41000 J mol-1

T = 100°C = 273 + 100 = 373 K

Δn = 1

ΔU = ΔH – ΔnRT = 41000 - (1 × 8.314 × 373)

= 37898.88 J mol-1  ≃ 37.9 kJmol-1

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