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Saitama
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Homework Statement
Find the pressure of air in a vessel being evacuated as a function of evacuation time t. The vessel volume is V, the initial pressure is po. The process is assumed to be isothermal, and the evacuation rate equal to C and independent of pressure.
Note: The evacuation rate is the gas volume being evacuated per unit time, with that volume being measured under the gas pressure attained by that moment.
Homework Equations
The Attempt at a Solution
By the ideal gas equation,
pV=nRT
[tex]\frac{dp}{dt}=\frac{RT}{V}\frac{dn}{dt}[/tex]
[tex]\frac{dp}{dt}=\frac{RT}{MV}\frac{dm}{dt}[/tex]
where m is the mass of gas in the vessel and M is the molar mass of the gas.
Now i am stuck here, i don't know what to do next.