## Formula for reversible expansion

$w=-P\Delta V$
and
$w=-\int_{V_{1}}^{V_{2}}PdV=-nRTln\frac{V_{2}}{V_{1}}$

Kellina Tran 2I
Posts: 50
Joined: Sat Jul 22, 2017 3:00 am

### Formula for reversible expansion

What does the R represent in the formula for reversible expansion?

Posts: 30
Joined: Fri Sep 29, 2017 7:05 am

### Re: Formula for reversible expansion

R is just the gas constant from the ideal gas law (PV=nRT), so it would be 8.314 J K^-1 mol^-1)

Joanne Guan 1B
Posts: 30
Joined: Sat Jul 22, 2017 3:01 am

### Re: Formula for reversible expansion

The ideal gas constant from PV = nRT is given as 0.08206 (L*atm)/(mol*K). For R to be more applicable to w = -nRT*ln(Vfinal/Vinitial), they rewrote it with the conversion 101.325 J = 1 L*atm to get 8.3145 J/(K*mol).