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Mass-flow rate

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Consider a flow for which the velocity vector is:
Compute the mass-flow rate across a plane of area A that is perpendicular to the x axis and lies at x=3L. The fluid density is d.

I know that the mass-flow rate, M, is calculated by:
M=Double integration [d(u*n)]dA

I am having trouble setting up the integral though. I think that dA becomes dy dz but I'm not for sure what the limits will be for those.

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Solution Summary

The solution computes the mass-flow rate across a plane.

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Determining flow rates- volumetric versus mass flow rates

A flow meter reads 10 liters per minute. The flow is comprised of a 7% solution of water and Chemical A.

The % solution is known by Wgt Chemical A/Wgt Chemical A + Wgt of Water

Chemical A has a given specific gravity of 2.8 as compared to water...the MW of Chemical A is given as 435 g/mol

Therefore, for every 1 liter per minute of volume flow:

1) What is the mass of Chemical A in that 1 liter
2) What is the mass of water in that 1 liter
3) What is the density of the combined solution of water and Chemical A

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