## Derivative

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

smurphy1D
Posts: 51
Joined: Mon Nov 18, 2019 12:18 am

### Derivative

Since the equation involving the derivative can be worked out to a much easier equation, under what instance is it necessary that we actually have to use it?

Brian Tangsombatvisit 1C
Posts: 119
Joined: Sat Aug 17, 2019 12:15 am

### Re: Derivative

I guess we would actually only have to integrate if we were given some sort of equation for pressure that is a function of volume, without the number of moles or temperature for the problem. Otherwise, if we know the final and initial volume, the number of moles, and temperature at which the reaction took place, we can use the simplified equation (w = nRTln(V2/V1)

Mitchell Koss 4G
Posts: 128
Joined: Sat Jul 20, 2019 12:17 am

### Re: Derivative

I think you should just make sure you know what he covers in class.

RichBollini4G
Posts: 100
Joined: Wed Sep 18, 2019 12:18 am

### Re: Derivative

Brian Tangsombatvisit 1C wrote:I guess we would actually only have to integrate if we were given some sort of equation for pressure that is a function of volume, without the number of moles or temperature for the problem. Otherwise, if we know the final and initial volume, the number of moles, and temperature at which the reaction took place, we can use the simplified equation (w = nRTln(V2/V1)

Thank you