The pressure P and volume V of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiabatic expansion, with or without loss).
Find b if P=32 kPa, dP/dt=16 kPa/min, V=80 cm^3, and dV/dt=19 cm^3/min.
(Use symbolic notation and fractions where needed.)