## Units

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

haleyervin7
Posts: 61
Joined: Fri Sep 28, 2018 12:15 am

### Units

Hi, can someone please explain the units and how they cancel in the work equation?

Elaine Pham 2E
Posts: 58
Joined: Fri Sep 28, 2018 12:28 am
Been upvoted: 1 time

### Re: Units

The unit for pressure is kg/(ms^2). The unit for volume is m^3. Since work = external pressure multiplied by change in volume, the units for work are (kg/(ms^2))m^3. When you simplify that, you get (kgm^2)/s^2 = Joules.