Casio ClassPad II Custom Commands

tank(Vin, QVin, Vout, Vo, Qo)

• Vin is the rate of solution volume flowing into the tank
• QVin is the concentration of solute in incoming solution
• Vout is the rate of solution volume flowing out of the tank
• Vo is the initial solution volume in the tank
• Qo is the initial quantity of solute in the tank

Returns a differential equation relating Q the quantity of solute in the tank, t time, and Q’ the derivative of Q with respect to t.

Example

A tank initially has \(300 \mathrm{g}\) salt dissolved in \(50 \mathrm{L}\) water, with water containing \(15 \mathrm{g/L}\) salt flowing into the tank at \(2 \mathrm{L/minute}\) and solution flowing out of the tank at \(5 \mathrm{L/minute}\). Find the equation which relates the mass of salt and time. (2020 Specialist Exam 2 Section A Question 10)

Contributed by Nhan