When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 470 cubic centimeters and the pressure is 97 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? 1 cm³ 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 PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 470 cubic centimeters and the pressure is 97 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? 1 cm³ 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 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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![When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by
the equation PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 470 cubic
centimeters and the pressure is 97 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic
centimeters per minute is the volume increasing at this instant?
1 cm³
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%2F9b27e901-e87b-4228-8406-e843591659e6%2Faa685c37-121f-4842-a814-f19cd8d51130%2F5t3fhyo_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 PV 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 470 cubic
centimeters and the pressure is 97 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic
centimeters per minute is the volume increasing at this instant?
1 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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