For water $\Delta$vap H = 41 kJ mol$-$1 at 373 K and 1 bar pressure. Assuming that water vapour is an ideal gas that occupies a much larger volume than liquid water, the internal energy change during evaporation of water is ___________ kJ mol$-$1
[Use : R = 8.3 J mol$-$1 K$-$1]
Answer (integer)
38
Solution
H<sub>2</sub>O(l) $\to$ H<sub>2</sub>O(g) : $\Delta$H = 41 ${{kJ} \over {mol}}$<br><br>$\Rightarrow$ From the relation : $\Delta$H = $\Delta$U + $\Delta$n<sub>g</sub>RT<br><br>$\Rightarrow$ 41${{kJ} \over {mol}}$ = $\Delta$U + (1) $\times$ ${{8.3} \over {1000}}$ $\times$ 373<br><br>$\Delta$ DU = 41 $-$ 3.0959 = 38 kJ/mol
About this question
Subject: Chemistry · Chapter: Thermodynamics · Topic: Zeroth and First Law
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