4B.13b

Michelle Song 1G
Posts: 30
Joined: Wed Nov 14, 2018 12:23 am

4B.13b

Why do you have to take the natural log of V2/V1?

KimGiang2F
Posts: 31
Joined: Fri Sep 28, 2018 12:19 am

Re: 4B.13b

The equation w=-nRT(ln(V2/V1)), is the standard integral of the original equation, dw=-(nRT/V)dV. A reversible process is one that can be reversed by an infinitely small change (so small that the change is not measurable) in a variable. Therefore, the total work done within a process is the sum (integral) of these infinitely small changes, in addition, to the volume going from its initial value to its final value. Essentially, dw must be integrated from the initial to the final volume with nRT remaining constant.