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There is a vat of wine with a tap at the bottom

There is a vat of wine with a tap at the bottom and a water faucet at the top. The tap is open and draining wine at a certain rate. The water faucet is adding water at the same rate, keeping the volume the same. How do I determine the concentration of the wine for any moment?

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Solution

Assume that the water and wine are instantly and perfectly mixed. Suppose the rate of flow of mixture out is R (volume/time). Since the rate of flow of water in is the same, the volume of liquid in the vat is constant ...

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