Conservation of mass: control volume approach question

[George26]

Summary:: Control volume question that has a brine solution entering a tank and mass accumulates over time.

Hello, I'm currently struggling with a control volume approach question that has a brine solution entering a tank. I get to a point where I have a first order differential equation. I usually just plug them into an online solver but this one returns 'no solution'. I'm not too surprised and I think I'm making a mistake somewhere. It would be much appreciated if anybody can take a peak at my work and maybe push me into the right direction.

Thanks so much in advance.

 

[BvU]

Hello @George26 ,

!​

I don't understand what your differential equation is supposed to do.
Why not simply add 100 l of the one to 600 l of the other ?

Please type the problem statement next time.
I do find it questionable, but perhaps you are expected to assume some simple density relationship ?

$\$

 

[haruspex]

You don't need any differential equations.
What are the initial masses of salt and water?
How much of each has been added at time t?