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 460 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.
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 460 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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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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 460
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe97c5a13-45c8-44f6-b9db-3c993e61c0ae%2Fe923c534-8950-4bed-9136-ae53fcef561f%2F0irx4l6_processed.jpeg&w=3840&q=75)
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 460
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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