A sealed syringe contains gas molecules confined to a volume

PHYSICS · Multi-part · Fermi University Physics · Thermal, Statistical & Complex Systems · Biophysics & Medical Physics · Physical foundations of the living cell

Life at Thermal Energy, Ch Entropy, free energy and the forces that counting produces

Problem

A sealed syringe contains

2.5\times10^{19}

gas molecules confined to a volume

V

. The plunger is withdrawn so that the accessible volume becomes

3V

, at a constant temperature of

298\,\mathrm{K}

. ((a)) Calculate the entropy change

\Delta S

of the gas. ((b)) Calculate

T\Delta S

in joules, and express

T\Delta S

per molecule as a multiple of

k_BT

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