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  • A gas undergoes a reversible isothermal expansion at a temperature of T = 400 K. During the process, 200 J of work is done on the surroundings. Calculate the change in entropy (S) of the gas.<d

A gas undergoes a reversible isothermal expansion at a temperature of T = 400 K. During the process, 200 J of work is done on the surroundings. Calculate the change in entropy (S) of the gas.

Option: 1

160J/K
 


Option: 2

170 J/K
 


Option: 3

0.5 J/K
 


Option: 4

20 J/K


Answers (1)

best_answer

For a reversible isothermal process, the change in entropy \mathrm{(\Delta S)} is given by:

\mathrm{\Delta S=\frac{Q}{T}}

Given the work done (W) is 200 J, and W = Q, we can substitute into the
equation:

\mathrm{\Delta S=\frac{200 \mathrm{~J}}{400 \mathrm{~K}}=0.5 \mathrm{~J} / \mathrm{K}}

Therefore, the correct option is C.

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Rishi

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