The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal are related by the equation PV 8.317. Find the rate at which the volume is changing when the temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of 0.07 kPa/s. Please show your answers to at least 4 decimal places.

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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 = 8.317. Find the rate at which the volume is changing when the
temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of
0.07 kPa/s.
Please show your answers to at least 4 decimal places.
dV
dt
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 = 8.317. Find the rate at which the volume is changing when the temperature is 325 K and increasing at a rate of 0.05 K/s and the pressure is 29 and increasing at a rate of 0.07 kPa/s. Please show your answers to at least 4 decimal places. dV dt L/s
Expert Solution
Step 1

Given:  

The relation, PV = 8.31T, where P is in kPa, V is in liters and T is in kelvin.

T = 325 K, dTdt = 0.05 Ks

P= 29 kPa, dpdt = 0.07 kPas

 

To Find: 

Rate of change of volume, dVdt= ?

 

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