What is the magnitude of the change in entropy when 6.00 g of steam at 100 ^∘ C is condensed to

step 1 In this volume we are given mass is equal to 6 .00 gram this is mass of steam or water and the t

What is the magnitude of the change in entropy when 6.00 g...

What is the magnitude of the change in entropy when $6.00 \mathrm{~g}$ of steam at $100{ }^{\circ} \mathrm{C}$ is condensed to water at $100{ }^{\circ} \mathrm{C} ?$ a) $46.6 \mathrm{~J} / \mathrm{K}$ c) $36.3 \mathrm{~J} / \mathrm{K}$ b) $52.4 \mathrm{~J} / \mathrm{K}$ d) $34.2 \mathrm{~J} / \mathrm{K}$

What is the magnitude of the change in entropy when $6.00 \mathrm{~g}$ of steam at $100{ }^{\circ} \mathrm{C}$ is condensed to water at $100{ }^{\circ} \mathrm{C} ?$
a) $46.6 \mathrm{~J} / \mathrm{K}$
c) $36.3 \mathrm{~J} / \mathrm{K}$
b) $52.4 \mathrm{~J} / \mathrm{K}$
d) $34.2 \mathrm{~J} / \mathrm{K}$

Key Concepts

Entropy Change Calculation

The change in entropy during a phase change is calculated using the equation ?S = Q_rev/T, where Q_rev is the reversible heat transfer (latent heat in the case of phase changes) and T is the absolute temperature. For condensation, Q_rev is negative because heat is released, indicating a decrease in entropy as the substance transitions to a more ordered liquid state.

Phase Change Processes

Phase change processes, such as condensation and vaporization, occur at constant temperature and pressure. These processes do not change temperature despite absorption or release of energy because the energy is used to overcome intermolecular forces rather than increasing kinetic energy. The associated entropy change is calculated using the latent heat of the transition.

Latent Heat of Condensation

Latent heat of condensation is the amount of energy released when a substance changes phase from vapor to liquid at constant temperature. During condensation, energy is released as the gas molecules transition into a more ordered, condensed state. This energy release is directly related to the entropy change during the phase change process.

Entropy

Entropy is a thermodynamic property that measures the randomness or disorder within a system. It quantifies the number of specific ways a system may be arranged, often understood through the energy dispersal among available energy states. In processes occurring at constant temperature, changes in entropy are determined by the heat exchanged divided by the temperature at which the exchange occurs.

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