When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^{1.4}=C where C is a constant. Suppose that at a certain instant the volume is 520 cubic centimeters and the pressure is 75 kPa and is decreasing at a rate of 12 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

asked by Lyle

16 years ago

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1 answer

Wouldn't V^1.4 dP/dt+ 1.4V^.4 P dV/dt=0?

solve for dV/dt

answered by bobpursley

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When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^{1.4}=C where C is a constant. Suppose that at a certain instant the volume is 520 cubic centimeters and the pressure is 75 kPa and is decreasing at a rate of 12 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

1 answer

Wouldn't V^1.4 dP/dt+ 1.4V^.4 P dV/dt=0?

solve for dV/dt

Ask a New Question or answer this question.

bobpursley · Answer

Wouldn't V^1.4 dP/dt+ 1.4V^.4 P dV/dt=0? solve for dV/dt