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s. Does the entropy of the system increase, decrease, or remain unchanged in the

ID: 541453 • Letter: S

Question

s. Does the entropy of the system increase, decrease, or remain unchanged in the following processes? (a) Water is cooled from 50°C to 20°C at a constant pressure of 1 atm. (b) A perfect gas undergoes a reversible adiabatic compression. (c) Ethanol vaporizes at its normal boiling point. (d) A perfect gas expands adiabatically into vacuum. (e) Two different perfect gases each at the same initial temperature and pressure are mixed adiabatically at constant temperature and pressure. (f) 2H2(g) + O2(g) 2H2O(1)

Explanation / Answer

The entropy is the degree of randomness or disorderness of the system.

a) When the temperature of water decreases at constant pressure , the volume decreases , and particles become more ordered, so the entropy of the system decreases.

b) Since the compression is reversible and adiabatic , the change in entropy is zero , so it remains unchanged.

c) Ethanol vaporises at boiling point so that the volume increases and randomness of the particles increases. This increases the entropy of the system.

d) Since the expansion is done in vaccum , no work is done by the gas , the entropy of the system remains unchanged.