## Entropy of Surroundings vs. System

Volume: $\Delta S = nR\ln \frac{V_{2}}{V_{1}}$
Temperature: $\Delta S = nC\ln \frac{T_{2}}{T_{1}}$

Chloe Alviz 1E
Posts: 102
Joined: Sat Aug 17, 2019 12:17 am

### Entropy of Surroundings vs. System

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

Suraj Doshi 2G
Posts: 100
Joined: Fri Aug 02, 2019 12:15 am

### Re: Entropy of Surroundings vs. System

∆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
Posts: 101
Joined: Wed Sep 18, 2019 12:18 am

### Re: Entropy of Surroundings vs. System

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

Ryan Yee 1J
Posts: 101
Joined: Sat Aug 17, 2019 12:16 am

### Re: Entropy of Surroundings vs. System

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