When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV4=C where C is a constant. Suppose that at a certain instant the volume is 600 cubic centimeters and the pressure is 79 kPa and is decreasing at a rate of 14 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm min (Pa stands for Pascal - it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter19: Temperature, Thermal Expansion And Gas Laws
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When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related
by the equation PV4 =C where C is a constant. Suppose that at a certain instant the volume is 600
cubic centimeters and the pressure is 79 kPa and is decreasing at a rate of 14 kPa/minute. At what rate in
cubic centimeters per minute is the volume increasing at this instant?
cm
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 PV4 =C where C is a constant. Suppose that at a certain instant the volume is 600 cubic centimeters and the pressure is 79 kPa and is decreasing at a rate of 14 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? cm min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.
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