Suppose that three parameters of a gas: Pressure P, volume V, and temperature T at all times t are related by the equation where a = 6 kPa litres/kelvin is a constant. Suppose that we start decreasing the pressure at a rate of 6 kPa/min and increase the temperature at a rate of 6 kelvin/min. How quickly is the volume changing when the temperature reaches 320 kelvin and the presure at the moment is 300 kPa? The volume is changing at a rate of = PV =oT, litres/min.

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ISBN:9781337282291
Author:Ron Larson
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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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Suppose that three parameters of a gas: Pressure P, volume V, and temperature T at all times t are related by the equation
where a = 6 kPa litres/kelvin is a constant.
Suppose that we start decreasing the pressure at a rate of 6 kPa/min and increase the temperature at a rate of 6 kelvin/min. How quickly is the volume changing when the temperature reaches 320 kelvin and the presure at the moment is 300 kPa?
The volume is changing at a rate of =
PV =oT,
litres/min.
Transcribed Image Text:Suppose that three parameters of a gas: Pressure P, volume V, and temperature T at all times t are related by the equation where a = 6 kPa litres/kelvin is a constant. Suppose that we start decreasing the pressure at a rate of 6 kPa/min and increase the temperature at a rate of 6 kelvin/min. How quickly is the volume changing when the temperature reaches 320 kelvin and the presure at the moment is 300 kPa? The volume is changing at a rate of = PV =oT, litres/min.
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