The molar heats of fusion and vaporization for water are 6.02 kJ / mol and 40.6 kJ / mol, respe

step 1 With the data provided for the enthalpy of fusion and enthalpya vaporization, and in addition, t

The molar heats of fusion and vaporization for water are...

The molar heats of fusion and vaporization for water are 6.02 $\mathrm{kJ} / \mathrm{mol}$ and $40.6 \mathrm{~kJ} / \mathrm{mol},$ respectively, and the specific heat capacity of liquid water is $4.18 \mathrm{~J} / \mathrm{g}$. ${ }^{\circ} \mathrm{C}$. What quantity of heat energy is required to melt $25.0 { }^{\circ} \mathrm{C}$ of ice at 0 ${ }^{\circ} \mathrm{C}$ ? What quantity of heat is required to vaporize $37.5 \mathrm{~g}$ of liquid water at $100 $ ${ }^{\circ} \mathrm{C}$ $?$ What quantity of heat is required to warm $55.2 \mathrm{~g}$ of liquid water from 0 ' $\mathrm{C}$ to $100 .$ ${ }^{\circ} \mathrm{C}$ ?

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Key Concepts

Latent Heat of Fusion

This is the amount of energy required to change a substance from a solid to a liquid at its melting point without changing its temperature. It is an intrinsic property of materials and is key to understanding phase transitions such as melting, where energy input breaks intermolecular forces without raising the temperature.

Latent Heat of Vaporization

This concept refers to the energy needed to convert a substance from a liquid to a gas at its boiling point, again without a change in temperature. It reflects the energy required to overcome intermolecular attractions in a liquid, allowing the molecules to disperse into the vapor phase.

Specific Heat Capacity

Specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree. It is fundamental in calculating the energy needed for temperature changes in a system when no phase change occurs.

Mass-to-Mole Conversion

This concept involves converting between the mass of a substance and the number of moles, using the substance's molar mass. Understanding this is essential when dealing with molar quantities of heat energy, such as heats of fusion and vaporization, which are typically given per mole.

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