When air expands adiabatically (without gaining or losing heat), its pressure Pand volume V are related by the equation PV14 = C where C is a constant. Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 91 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? cm min

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related
by the equation PV14 = C where C is a constant. Suppose that at a certain instant the volume is 540
cubic centimeters and the pressure is 91 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?
cm3
min
(Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.
Transcribed Image Text:When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV14 = C where C is a constant. Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 91 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? cm3 min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.
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