When air expands adiabatically (without gaining or losing heat), its pressure P C where C is a constant. Suppose and volume V are related by the PV14 equation that at a certain instant the volume is 400 cubic centimeters and the pressure is 81 kPa %3D and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 36A: Compute the following problems. Express the answers to the nearest whole number. Use N=12C3.1416D or...
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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 400 cubic centimeters and the pressure is 81 kPa
and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per
minute is the volume increasing at this instant?
Answer:
Note: Pa stands for Pascal. One Pa is equivalent to one Newton/m2. 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 PV14 =C where C is a constant. Suppose that at a certain instant the volume is 400 cubic centimeters and the pressure is 81 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? Answer: Note: Pa stands for Pascal. One Pa is equivalent to one Newton/m2. kPa is a kiloPascal or 1000 Pascals.
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