Volume Balance on concentration in a tank

[ilyas415]

Homework Statement

Hi. I am trying to do a volume balance on the concentration in a tank. I don't know how to find the output and just need some help. I have attached the image showing the question from the paper. Thanks.

Homework Equations

INPUT = OUTPUT + ACCUMULATION

The Attempt at a Solution

I drew a diagram showing the control surface. Stated that the independent variable is time and the dependent variable is x.

I assumed that the concentration mixed instantaneously in the tank.

Stated that the problem is unsteady state and that i was going to do a volume baalnce on the concentration in the tank.

Took my basis: δt s.
input = 0
output = ...
accumulation = V.δx

I have no idea what the output value will be. I just need some help to find it.

 

[KataKoniK]

Thank you for reaching out for help with your volume balance problem. It seems like you have made a good start by drawing a diagram and identifying the independent and dependent variables. In order to find the output value, you will need to consider the flow rate in and out of the tank. This can be calculated by multiplying the velocity of the fluid by the cross-sectional area of the tank. Once you have this value, you can use the equation INPUT = OUTPUT + ACCUMULATION to solve for the output value. Remember to also consider any changes in volume due to accumulation over time. I hope this helps and good luck with your problem! If you have any further questions, please don't hesitate to ask.