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Calculus- Related Rates?
The pressure P and volume V of an expanding gas are related by the formula PV^b = C, where b and C are constants.
Find [dp/dt] if b = 1.6, P = 11 kPa, V = 70 cm2, and [dV/dt] = 60 cm3/min
C is not given?
Thanks!!!
1 Answer
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- nyc_kidLv 71 decade agoFavorite Answer
PV^b = C
Differentiate both sides w.r to t
Right side: = 0
Left side: [dp/dt]V^b + [dV/dt] bPV^(b-1)
So [dp/dt]V^b + [dV/dt] bPV^(b-1) = 0
[dp/dt] = -[dV/dt] bP/V = -60x1.6x11/70 = -15.08 kPa/min
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