Hi! I'm new here and trying to get some help solving a problem I have.(adsbygoogle = window.adsbygoogle || []).push({});

It's a real problem, but for discussion purposes I've simplified it as such:

Problem Description:

A large tank is initially full of pure distilled water at volume of 5,000 cubic feet (cf)

50% pure vinegar is being poured into the tank at 2 cfm

A faucet on the bottom of the tank is open pouring out at 2 cfm

The tank has a mixer that circulates and mixes the fluid internally

Question:

After how many minutes would it take for the faucet to pour fluid containing 10% vinegar?

Assumptions:

The mixing of the vinegar and the rest of the fluid in the tank happens instantaneous and homogeneous.

Please be very descriptive in your solution and how you did it. I really forgot most of my DE knowledge. Thanks!

I only know that:

tank concentration of vinegar after t = (volume of vinegar in after t - volume vinegar out after t) / tank volume

volume of vinegar out after t is the integral of the tank concentration x flow rate out x t

Please help!

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