If water vapour is assumed to be a perfect
gas, molar enthalpy change for
vapourisation of 1 mol of water at 1bar
and 100°C is 41kJ mol–1. Calculate the
internal energy change, when
(i) 1 mol of water is vaporised at 1 bar
pressure and 100°C.
(ii) 1 mol of water is converted into ice.
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Solution
(i) The change H O H O g 2 2 (l ) → ( )
∆ = ∆ + ∆ H U n T gR
or ∆U = ∆H – ∆n T gR , substituting the
values, we get
41.00 kJ mol 1
8.3 J mol K 373 K
= 37.904 kJ mol–1
(ii) The change H O H O s 2 2 (l)
There is negligible change in volume,
So, we can put p V∆ = ≈ ∆n T gR 0 in this
case,
∆ ≅ ∆ H U1
so, 41.00kJ mol
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