The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an idea gas are related by the equation PV = 8.31T, where P, V, and T are all functions of time (in seconds). At some point in time the temperature is 285 K and increasing at a rate of 0.2 K/s and the pressure is 10 and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time. L/s Round your answer to four decimal places as needed

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal
gas are related by the equation PV= 8.31T, where P, V, and T are all functions of time (in seconds).
At some point in time the temperature is 285 K and increasing at a rate of 0.2 K/s and the pressure is 10
and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time.
L/s
Round your answer to four decimal places as needed.
Transcribed Image Text:The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV= 8.31T, where P, V, and T are all functions of time (in seconds). At some point in time the temperature is 285 K and increasing at a rate of 0.2 K/s and the pressure is 10 and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time. L/s Round your answer to four decimal places as needed.
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