Question 1105904
𝑝𝑉1.5 = 400
:
solve the equation for V
:
V = 266.6667 * p^-1
:
we are looking for the rate the volume is changing dV/dt
:
we know p is increasing at the rate of dp/dt = 3N/m^2, p = 50N/m^2
:
dV/dt = 266.6667 * p^-2 * dp/dt
:
substitute dp/dt = 3, p = 50
:
dV/dt =  (266.6667 * 3) / 50^2 = 0.32m^3/minute