Entropy of Surroundings vs. System

[Chloe Alviz 1E]

How do we know when the entropy of the surroundings is positive or negative in a volume expansion?

[Suraj Doshi 2G]

∆S = nR lnV2/V1

From the equation above, I believe you can find that when calculating for the entropy of a system itself, if V2 is greater than V1, the deltaS value will be greater than if V1 > V2. (This indicates expansion). If entropy of the system is increasing, then entropy of the surrounding would have to decrease and vice versa.

[Ian Morris 3C]

if the entropy of surroundings is positive that means there is more and vice versa.

[Ryan Yee 1J]

Logically, a volume expansion would mean that there are technically more microstates for a system to have, and so entropy would increase.