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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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