Question

# The change in entropy of the system and the universe if one mole of argon is...

The change in entropy of the system and the universe if one mole of argon is expanded isothermally and reversible at 300. K from 10.0 L to 20.0 L.

assuming the expansion is free. Calculate:

a) entropy of the system in J/K

b) entropy of the universe in J/K

Please explain each step.

#### Homework Answers

Answer #1

a) For reversible isothermal process with free expansion the change in entropy of the system is given by the formula.

N = 1 mole , V2 = 20 , V1 = 10

= 1 * 8.31447 * ln ( 20/10 ) = 8.31447 * ln(2) = 5.763 J/K.

b) Entropy of the Universe = entropy of the system + entropy of the surroundings

Entropy of the surroundings in a free expansion is 0 as there is no interaction between system and surroundings.

so Entropy of Universe = Entropy of the system

= 5.763 J/K.

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