Adiabatic law (no gain /heat loss) for the expansion of air is

PV^1.4=C,P(pressure) in lb/in^2 ,V(volume)in cubic inches, and C(constant). At a specific instant, the
pressure is 40 lb/in^2 and is increasing at the rate of 8 lb/in^2each second. If
C=5/16
, what is the rate of change of the volume at this instant?

4 answers

V^1.4 dP/dt + 1.4P V^0.4 dV/dt = 0
now plug in your numbers to find dV/dt
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