Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and the volume V satisfy the equation PV=CPV=C, where CC is a constant. Suppose that at a certain instant the volume is 600cm^3, the pressure is 150kPa, and the pressure is increasing at a rate of 20kPa/min. At what rate is the volume decreasing at this instant?
I'm not sure if this will help but, Solve for the constant C first. 200(600)=C C=120000
If C is a constant, you can rewrite the equation an V= C/P.
Take the derivative and find that dV= -C/(P^2) dP by using the quotient rule for calculus.
Now plug in your initial values dV= -(120000)/(200)^2 *10
dV= - 30 cm^3/min.
