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!

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Got a real world problem here

Loading...

Similar Threads for real world problem | Date |
---|---|

I Using Complex Numbers to find the solutions (simple Q.) | Dec 29, 2017 |

A Solution of a weakly formulated pde involving p-Laplacian | Aug 3, 2017 |

PDE: How to use Fourier Series to express a real function? | Mar 11, 2015 |

How are Differential Equations usually found in real world applications? | Mar 20, 2011 |

**Physics Forums - The Fusion of Science and Community**