One mole of ice is converted into water at 273 K and 1 atm. The entropies of and are 38.0 and 58.0 J — Thermodynamics and Thermochemistry Chemistry Question
Question
One mole of ice is converted into water at 273 K and 1 atm. The entropies of $\text{H}_2\text{O (s)}$ and $\text{H}_2\text{O (l)}$ are 38.0 and 58.0 J/K-mol, respectively. The enthalpy change for the conversion is
Answer: B
💡 Solution & Explanation
At the normal melting point (273 K, 1 atm), the process is in equilibrium, so $\Delta G = 0$. $\Delta G = \Delta H - T\Delta S \implies \Delta H = T\Delta S$. $\Delta S = 58.0 - 38.0 = 20.0\text{ J/K-mol}$. $\Delta H = 273\text{ K} \times 20.0\text{ J/K-mol} = 5460\text{ J/mol}$.
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