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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 310 K and increasing at a rate of 0.05 K/s and the pressure is 14 and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time. L/s

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 310 K and increasing at a rate of 0.05 K/s and the pressure is 14 and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time. L/s

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 7P
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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 I are all functions of time (in seconds). At some point in time the temperature is 310 K and increasing at a rate of 0.05 K/s and the pressure is 14 and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time. L/S
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 I are all functions of time (in seconds). At some point in time the temperature is 310 K and increasing at a rate of 0.05 K/s and the pressure is 14 and increasing at a rate of 0.07 kPa/s. Find the rate at which the volume is changing at that time. L/S
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