Calculate the heat change at 100^∘ C for each of the following, and indicate whether heat was ab

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Calculate the heat change at 100^∘ C for each of the...

Calculate the heat change at $100^{\circ} \mathrm{C}$ for each of the following, and indicate whether heat was absorbed/released: a. calories to vaporize $10.0 \mathrm{~g}$ of water b. joules to vaporize $5.00 \mathrm{~g}$ of water c. kilocalories to condense $8.0 \mathrm{~kg}$ of steam d. kilojoules to condense $175 \mathrm{~g}$ of steam

Calculate the heat change at $100^{\circ} \mathrm{C}$ for each of the following, and indicate whether heat was absorbed/released:
a. calories to vaporize $10.0 \mathrm{~g}$ of water
b. joules to vaporize $5.00 \mathrm{~g}$ of water
c. kilocalories to condense $8.0 \mathrm{~kg}$ of steam
d. kilojoules to condense $175 \mathrm{~g}$ of steam

Key Concepts

Latent Heat

Latent heat refers to the amount of energy absorbed or released by a substance during a phase change at a constant temperature. In thermodynamics, it is crucial because it quantifies the energy transfer without a change in temperature, for example during the vaporization or condensation of water.

Enthalpy of Vaporization/Condensation

This is the energy required to convert a unit mass of a liquid into vapor (vaporization) or the energy released when vapor condenses into liquid (condensation) at a given temperature, typically 100°C for water. It is a vital concept when calculating the energy change during phase transitions.

Heat Change Calculation Formula

The calculation of energy involved in a phase change is based on the formula Q = m × L, where Q is the amount of heat absorbed or released, m is the mass of the substance, and L is the latent heat (enthalpy) of the phase transition. This equation is central to solving problems involving phase changes.

Unit Conversions

Unit conversion is an important concept because energy and mass may be expressed in various units such as calories, joules, kilocalories, and kilojoules, or grams and kilograms. Correct conversions ensure consistency and accuracy in calculations related to heat changes.

Sign Convention for Heat Flow

Understanding the sign convention in thermodynamics is crucial: a positive heat value indicates that energy is absorbed (endothermic process), while a negative value implies that energy is released (exothermic process). This distinction helps in determining the direction of heat flow in processes such as vaporization and condensation.

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