How would I go about doing this math problem?

Hi. I am having some trouble with this math problem. Not sure if it needs to involve calculus or not. Anyway, here it is.

Boyle's Law states that when a sample of gas is compressed at a constant

temperature, the product of the pressure and the volume remain constant: PV = C.

(a) Find the rate of change of volume with respect to pressure.

(b) A sample of gas is in a container at low pressure and its constantly compressed at

constant temperature for 10 minutes. Is the volume decreasing more rapidly at the

beginning or at the end of the 10 minutes? Explain your answer.

I think I have the first part (part a) completed V(p)=(c)/(p), But I would think that there is some type of derivative-like rate of change in there somewhere. Not trying to simply get an answer, Would like maybe a little explanation on how and why? Thank you for reading and taking the time to look at this!

1 Answer

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  • Hankm
    Lv 7
    6 years ago
    Best Answer

    PV + nRT

    V = nRT/P

    dv/dp = -nRT/P^2

    i don't understand part b

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