- #1
blackjack21
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Hi! I'm new here and trying to get some help solving a problem I have.
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!
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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