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Q. Molar enthalpy change for melting of ice is $6\, kJ / mol$. Then the internal energy change (in $k J / mol$ ) when $1$ mole of water is converted into ice at $1$ atm at $0^{\circ} C$ is Empty QImg

J & K CETJ & K CET 2015Thermodynamics

Solution:

Given, $\Delta H=6\, kJ / mol$
$\Delta U=?$
$H_{2} O(l) Ice(s)$
$\because \Delta H=\Delta U+\Delta n_{g} R T$
Here, $\Delta n_{g}=0$
$\therefore \Delta H=\Delta U$
$\Rightarrow \Delta U=6\, kJ / mol$