Assign4

# Assign4 - h at ﬁrst it will become clear why it is...

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AMath 250 ASSIGNMENT 4 Winter 2008 Submit all problems by Noon on Tuesday, Februrary 5 th in the drop boxes across from MC4066. All solutions must be clearly stated and fully justiﬁed . Problem #1 Mixing Problem. A tank contains 200 litres of water in which 300 grams of salt is dissolved. Brine containing 1 gram of salt per litre is then pumped into the tank at a rate of 4 litres per minute; the well-mixed solution is pumped out at the same rate. Find the mass m ( t ) (in grams) of salt in the tank at time t . From Problem Set 1 in the Course Notes From Problem Set 1 in the Course Notes From Problem Set 1 in the Course Notes : #11 #14 Hint: There’s no need to solve the DE. Don’t pay much attention to the restriction on
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Unformatted text preview: h at ﬁrst; it will become clear why it is restricted after you’ve found the equilibrium solutions. #19 From Problem Set 2 in the Course Notes From Problem Set 2 in the Course Notes From Problem Set 2 in the Course Notes : #1,2,3 Note: force = mass × acceleration, pressure = force/area, gradient means ”rate of change with respect to distance”—e.g. dT dx is the temperature gradient. # 4 (This question will not be marked, but it is highly recommended that you do it before the test.) Note: This is the last assignment before test #1, which will cover all material before section 2.2. More details will be given in class the week before the test....
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## This note was uploaded on 03/20/2011 for the course AMATH 250 taught by Professor Ducharme during the Summer '09 term at Waterloo.

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