The second law of thermodynamics is a fundamental law of science. In this problem, we consider the thermodynamics of an ideal gas, phase transition, and chemical equilibrium.
Three moles of `CO_(2)` gas expands isothermally (in thermal contact with the surroundings, temperature `= 15.0^(@)C`) against a fixed external pressure of `1.00 bar`. The initial and final volumes of the gas are `10.0 L` and `30.0L`, respectively.
Assuming `CO_(2)` to be an ideal gas, `Delta_(sys)S` is

Options

A. `27.4 J K^(-1)`
B. `9.1J K^(-1)`
C. `-27.4J K^(-1)`
D. `-9.1 J K^(-1)`

Explanation

`-`Work done `=q = nRT In (V_(2))/(V_(1))`
`= 3 xx 8.314 xx 288.15 xx In ((30)/(10))`
`:. DeltaS = (q)/(T)`
or `Delta_(sys)S = (3 xx 8.314 xx 288.15 xx In(30)/(10))/(288.15) = 27.4 J K^(-1)`