When air expands adiabatically (without gaining or losing

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
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 PV1.4 .
at a certain instant the volume is 410 cubic centimeters and
C where C is a constant. Suppose that
the pressure is 99 kPa and is decreasing at a rate of 7
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 PV1.4 . at a certain instant the volume is 410 cubic centimeters and C where C is a constant. Suppose that the pressure is 99 kPa and is decreasing at a rate of 7 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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