(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A tank of constant volume V contains air at an initial density pi. Air is discharged isothermally from the tank at a constant volumetric rate of Q (with SI units of m^3/s). Assuming that the discharged air has the same density as that of the air in the tank, find an expression for the density in the tank, p(t).

There's also a diagram of the circular control volume V with one outlet which air escapes at Q.

2. Relevant equations

Mass conservation equation is integral of (p dv) + integral of (pv*dA) = 0

3. The attempt at a solution

I got the equation down to dp/dt = (-pi*Q)/V but that's not right so I'm not sure what to do from here.

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# Homework Help: Finding the density inside a tank as air escapes

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