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 440 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.) Question Help: Video

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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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 440 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?
min
(Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.)
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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 440 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? min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.) Question Help: Video Submit Question MacBook Pro esc < a @ # $ % & 1 2 3 4 5 6 7 Q W ab E R T Y
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