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Question: The entropy change can be calculated by using the expression, \(\Delta S = \frac{q_{rev}}{T}\) When ...

The entropy change can be calculated by using the expression, ΔS=qrevT\Delta S = \frac{q_{rev}}{T} When water freezes in a glass beaker, choose the correct statement amongst the following:

A

ΔSsystem\Delta S_{system}decreases but ΔSsurroundings\Delta S_{surroundings} remains the same.

B

ΔSsystem\Delta S_{system} increases but ΔSsurroundings\Delta S_{surroundings} decreases.

C

ΔSsystem\Delta S_{system} decreases but ΔSsurroundings\Delta S_{surroundings}increases.

D

ΔSsystem\Delta S_{system} decreases and ΔSsurroundings\Delta S_{surroundings} also decreases.

Answer

ΔSsystem\Delta S_{system} decreases but ΔSsurroundings\Delta S_{surroundings}increases.

Explanation

Solution

: As water freezes from liquid to solid, randomness decreases, i.e. ΔSsystem\Delta S_{system} decreases. Heat released during the process, is absorbed by the surrounding hence, ΔSsurroundings\Delta S_{surroundings} increases.