{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# week06 - Week 6 3.6 Cooling/Mixing[see Cooling example Hw 5...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Week 6: 3.6 Cooling/Mixing [see Cooling example, Hw 5] 3.9 Numerical Solutions [Euler, Maple’s dsolve/numeric] 4.1 Higher Order DE ————— Problem: A 200L tank is half full of a solution containing 100g of a desolved chemical. A solution containing 0.5 g/L of the same chemical is pumped into the tank at a rate of 6 L/min. The well-stirred mixture is pumped out at a rate of 4 L/min. Determine the concentration of the chemical in the tank just before overflow. Solution: V = V ( t ) and A = A ( t ) will be the volumn of the solution in the tank (in L) and amount of chemical in the tank (in g), at time t (in min.). The “rate in” is, r 1 = 6 and “rate out”, r 2 = 4; and the “concentration in” is, c 1 = 0 . 5 , while we solve for the “concentration out”, c 2 = A V . ————— First, the initial volumn V = 100 (one half of the tank’s volumn), so V ( t ) = 100 + ( r 1- r 2 ) t = 100 + 2 t (“rate in” - “rate out”). Next, the tank overflows when V is 200, which occurs when t = 50 , (why?) so we’re looking for c 2 (50) . 2...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

week06 - Week 6 3.6 Cooling/Mixing[see Cooling example Hw 5...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online