Based on the heating curve for water, does it take more...

Based on the heating curve for water, does it take more energy to melt a mole of water or to boil a mole of water? Does it take more energy to warm the solid, the liquid, or the gas by $10^{\circ} \mathrm{C} ?$ Explain your answers clearly.

Key Concepts

Heating Curve

The heating curve is a graphical representation that shows how a substance’s temperature changes with the addition of heat. It includes regions where temperature rises steadily, indicating sensible heat addition, and flat regions, where heat is absorbed or released as latent heat during phase transitions without a change in temperature.

Latent Heat

Latent heat is the energy required for a substance to undergo a phase change without a temperature change. It includes the latent heat of fusion (melting) and the latent heat of vaporization (boiling). Typically, the latent heat of vaporization is much higher than the latent heat of fusion, meaning that more energy is required to boil water than to melt it.

Specific Heat Capacity

Specific heat capacity is the amount of energy needed to raise the temperature of one mole of a substance by one degree Celsius. Different phases of matter have different specific heat capacities; generally, gases require more energy per degree for temperature changes compared to liquids and solids due to differences in molecular motion and interactions.

Phase Transitions

Phase transitions, such as melting and boiling, involve energy changes that are not reflected in a temperature change. During these transitions, the added energy is used to overcome intermolecular forces rather than to raise the temperature, which is why the energy required for phase changes (especially vaporization) is typically much higher than that needed for heating within a single phase.

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