## Equation

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

Jina Kwon
Posts: 100
Joined: Fri Aug 09, 2019 12:15 am

### Equation

When we do we use this integral?

Sahil Jog 1F
Posts: 126
Joined: Thu Jul 11, 2019 12:16 am

### Re: Equation

We utilize the integral when both the pressure and volume of a system are changing. This is because if we have a system with constant pressure and a change in volume, the integral would basically be the area of the rectangle which is P*(delta)V and no need to use calculus. If the pressure in changing and volume is constant, then there is no area under the curve to really calculate, and so it is zero. However, when both change, our graph now has a curve, which would require calculus in order to calculate work, and thus the integral comes in handy.

faithkim1L
Posts: 105
Joined: Fri Aug 09, 2019 12:17 am

### Re: Equation

Do we need to know the integral and derivative for the midterm?

JohnWalkiewicz2J
Posts: 103
Joined: Thu Jul 11, 2019 12:17 am
Been upvoted: 1 time

### Re: Equation

faithkim1L wrote:Do we need to know the integral and derivative for the midterm?

Im not 100% sure considering we haven't gone over a problem using integrals in class, but I think you should definitely try and study it. If you need help Dr.Lavelle has a page on his website titled "Common Antiderivatives" which shows some applications we might see on the midterm

Vinita Saxena 2I
Posts: 58
Joined: Fri Aug 09, 2019 12:16 am

### Re: Equation

Since Lavelle put it in his math help, I believe we will need to use it if needed.