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## Homework Statement

A well insulated container consists of two equal volumes separated by a partition - one half an ideal gas while the other is a vacuum. The partition is removed, and the gas expands. What is the entropy change per mole?

## Homework Equations

dS = dQ

_{rev}/T

S/R = Cp/R dT/T - ln(P/P

_{0})

## The Attempt at a Solution

As the process is irreversible, the entropy change should be non-zero even though there is no change in heat. However, after I perform the calculation with the aforementioned equation, I got zero as my final answer.

I'm extremely confused about my result because I can't find any mistake in my calculation, while I do believe that the change should be non-zero.

Any help would be highly appreciated!