Question 3 A dilution tank initially contained 100L of fresh water. Then water which contained 0.5kg/L of salt was poured into the tank at a rate of 2L/min, and the well-mixed mixture was allowed to leave the tank at the same rate. (a) Performing a mass balance, show that the ODE governing the concentration of salt (wrt time) in the tank is ds dt = 0.01 0.02S (b) By solving the ODE, determine the concentration of salt in the tank after 10 mins. After 10 mins, the process was stopped, and fresh water was poured into the tank at 2 L/min, with the mixture again allowed to leave at the same rate. (c) Write down the ODE governing the concentration of salt in the tank for this phase. (d) Determine the concentration of salt in the tank at the end of an additional 10 mins.

Question 3 A dilution tank initially contained 100L of fresh water. Then water which contained 0.5kg/L of salt was poured into the tank at a rate of 2L/min, and the well-mixed mixture was allowed to leave the tank at the same rate. (a) Performing a mass balance, show that the ODE governing the concentration of salt (wrt time) in the tank is ds dt = 0.01 0.02S (b) By solving the ODE, determine the concentration of salt in the tank after 10 mins. After 10 mins, the process was stopped, and fresh water was poured into the tank at 2 L/min, with the mixture again allowed to leave at the same rate. (c) Write down the ODE governing the concentration of salt in the tank for this phase. (d) Determine the concentration of salt in the tank at the end of an additional 10 mins.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 14EQ

See similar textbooks