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 functions of time (in seconds). At some point in time the temperature is 330 K and increasing at a rate of 0.05 K/s and the pressure is 27 and increasing at a rate of 0.03 kPa/s. Find the rate at which the volume is changing at that time. 8.31T, where P, V, and T are all L/s Round your answer to four decimal places as needed.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 330 K and increasing
at a rate of 0.05 K/s and the pressure is 27 and increasing at a rate of 0.03 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 330 K and increasing at a rate of 0.05 K/s and the pressure is 27 and increasing at a rate of 0.03 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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