## Antiderivative of work

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

ian_haliburton_1f
Posts: 61
Joined: Fri Sep 28, 2018 12:24 am

### Antiderivative of work

Since we can write the work function using an integral, does this mean there is some antiderivative equation that we can use to do straightforward integration?

Parth Mungra
Posts: 72
Joined: Fri Sep 28, 2018 12:28 am

### Re: Antiderivative of work

Well, the external pressure can be taken out of the integral, and then you are left with w=Pex (Integral from vintial to vfinal of 1 dv). This integral part just equals vf-vi, or delta v. It's the same thing as the previous equation we learned.