## Work Equation, changing V and P

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

JennaMinami1I
Posts: 18
Joined: Wed Sep 21, 2016 2:56 pm

### Work Equation, changing V and P

This relates to midterm 2013 question 4 part A in back of course reader

Why is it that when volume and pressure are both changing that work can equal:

w=-nRTln(V2/V1) or w=-nRTln (P1/P2)

Is it because the pressure is inversely related to the volume?

Reem Abu-Shamma 2H
Posts: 23
Joined: Wed Sep 21, 2016 2:59 pm
Been upvoted: 1 time

### Re: Work Equation, changing V and P

Yes, that reasoning makes sense.

s_pinto2e
Posts: 4
Joined: Wed Sep 21, 2016 2:58 pm

### Re: Work Equation, changing V and P

Yes, Boyle's law states that at a constant temperature, the volume of a fixed amount of gas is inversely proportional to the pressure. In other words, V∝1/P.