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 some quantity of chemical dissolved in 8000 L water, with fresh water flowing into the tank at 15 L/minute and solution flowing out of the tank at 20 L/minute. Find the equation which relates the mass of chemical and time. (2023 Specialist Exam 2 Section A Question 8)

Contributed by Nhan