# Question is: Boyle's law states that pv = c, where...

Question is:
Boyle's law states that pv = c, where p is pressure, v isvolume, and c is a constant. Find a formula for the rate ofchange of p with respect to v.
So I'm thinking I need dv/dp, so take the derivative of bothsides (note the product rule) and come up with an answer. so I end up with: pv =0          Is thatright?
Show transcribed image text Question is: Boyle's law states that pv = c, where p is pressure, v isvolume, and c is a constant. Find a formula for the rate ofchange of p with respect to v. So I'm thinking I need dv/dp, so take the derivative of bothsides (note the product rule) and come up with an answer. so I end up with: pv =0 Is thatright?

## Answers ( 1 )

1. Your steps and my corrections
Question is:
Boyle's law states that pv = c, where p is pressure, v isvolume, and c is a constant. Find a formula for the rate ofchange of p with respect to v.
So I'm thinking I need dv/dp, so take the derivative of bothsides (note the product rule) and come up with an answer. Now note that we are differentiating'v' with respect to 'p'. and c is a constant
differentiatiation of constant is=0. Thismakes R.H.S = 0
L.H.S = p*dv/dp +v*1                [because d/dx (x) = 1]
we get dv/dp = -v/p is the required answer