Given that the heat of fusion of water is -6.02 kJ / mol , the heat capacity of H2 O(l) is 75.2

step 1 We can calculate the heat of fusion of water at negative 10 degrees Celsius, given a little bit

Given that the heat of fusion of water is -6.02 kJ / mol ,...

Given that the heat of fusion of water is $-6.02 \mathrm{kJ} / \mathrm{mol}$ , the heat capacity of $\mathrm{H}_{2} \mathrm{O}(l)$ is 75.2 $\mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$ , and the heat capacity of $\mathrm{H}_{2} \mathrm{O}(s)$ is 37.7 $\mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$ , calculate the heat of fusion of water at $-10^{\circ} \mathrm{C} .$

Given that the heat of fusion of water is $-6.02 \mathrm{kJ} / \mathrm{mol}$ , the heat capacity
of $\mathrm{H}_{2} \mathrm{O}(l)$ is 75.2 $\mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$ , and the heat capacity of $\mathrm{H}_{2} \mathrm{O}(s)$ is
37.7 $\mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$ , calculate the heat of fusion of water at $-10^{\circ} \mathrm{C} .$

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Key Concepts

Heat of Fusion

The heat of fusion is the energy required to change a substance from a solid to a liquid at its melting point. It quantifies the latent heat absorbed during the phase change without a change in temperature and is a crucial parameter in understanding phase transitions.

Heat Capacity

Heat capacity is a measure of the amount of energy needed to raise the temperature of a substance by one degree. For molar heat capacity, it is expressed per mole, and different phases of a substance (such as solid and liquid) have distinct heat capacities that affect how their enthalpies change with temperature.

Kirchhoff’s Law

Kirchhoff’s Law in thermochemistry describes how the enthalpy change of a reaction or phase transition can be adjusted between different temperatures by accounting for the difference in heat capacities of the reactants and products. This law is essential when calculating enthalpy changes at temperatures other than the standard reference temperature.

Temperature Dependence of Enthalpy

The enthalpy change of a process is not constant but varies with temperature. To determine the enthalpy at a temperature different from the standard, it is necessary to integrate the difference in heat capacities over the temperature range, thereby capturing the temperature dependence of the reaction or phase transition enthalpy.

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