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. mustafa kavakl?o?lu
    mustafa kavakl?o?lu
    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

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