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Determining the atmospheric density

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A tank of volume V. is filled initially with air at atmospheric density pa,. Beginning at t = 0, a pump delivers to the tank a mixture  of air and water. The volumetric inflow rate to the pump is Q, half of which is water having a density pw, and the other half is air at the densitypat . Once inside the tank, the water falls to the bottom, occupying a volume Vw(t) that increases with time (see Figure 1). The air rises to the top of the tank, forming a volume with uniform density pa(t). In terms of the known quantities V. , pat , Q and pw derive expressions for Viv(t) and pa(t) as functions of time t.

1043_rises to the top of the tank.jpg

Reference no: EM13854375

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