A) \[36.73\text{ }kJ\text{ }mo{{l}^{-1}}\]
B) \[40.52\text{ }kJ\text{ }mo{{l}^{-1}}\]
C) \[37.56\text{ }kJ\text{ }mo{{l}^{-1}}\]
D) \[42.05\text{ }kJ\text{ }mo{{l}^{-1}}\]
Correct Answer: C
Solution :
\[{{H}_{2}}O(l){{H}_{2}}O(g)\] \[\Delta {{n}_{g}}=1-0=1\] \[\Delta {{H}^{o}}=\Delta {{U}^{o}}+\Delta {{n}_{g}}RT\] \[40.66=\Delta {{U}^{o}}+1\times 8.314\times {{10}^{-3}}\times 373\] \[40.66=\Delta {{U}^{o}}+3.10\] \[\Delta {{U}^{o}}=40.66-3.10=37.56\,kJ\,\,mo{{l}^{-1}}\]
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