water flow differential

[jadinoff]

I would greatly appreciate your help with a math equation needed for a science experiment I'm researching. The case is the following: there is a pit full of juice and a stream of water is flowing through the pit (so that the amount of water which enters also exits). The goal is for there to be only 3 units of juice in the pit (regardless of the amount of water). As the stream flows through we assume that the stream water mixes evenly with the juice in the pit so that what exits is a proportion of stream water and juice. The question I'm stuck on is, how much stream water needs to pass through the pit in order for there to remain only 3 units of juice water. Since the proportions constantly change, it seems like a calc differential question to me, although I may be wrong. Could you do me a favor and email me the equation that I could use for any given amount of juice?
Thanks,
Joseph (jadinoff@gmail.com)

 

[galactus]

There is not enough information. But, it looks like a differential equations-type problem.

 

[Deleted member 4993]

I would greatly appreciate your help with a math equation needed for a science experiment I'm researching. The case is the following: there is a pit full of juice and a stream of water is flowing through the pit (so that the amount of water which enters also exits ).

Is that amount of water or volume of mixture (juice+water)?

The goal is for there to be only 3 units of juice in the pit (regardless of the amount of water).

Is that amount of juice or volume (3 units) of mixture (juice+water)?

How much juice did the experiment start with?


As the stream flows through we assume that the stream water mixes evenly with the juice in the pit so that what exits is a proportion of stream water and juice. The question I'm stuck on is, how much stream water needs to pass through the pit in order for there to remain only 3 units of juice water ---- mixture??. Since the proportions constantly change, it seems like a calc differential question to me, although I may be wrong. Could you do me a favor and email me the equation that I could use for any given amount of juice?
Thanks,
Joseph (jadinoff@gmail.com)

I agree with Glactus - ill-definesd problem....