Unformatted text preview: Math 16C
Kouba
Worksheet 1 Let S represent the amount (in pounds) of salt in each tank at time t
minutes. Find a formula for S for each of the following and then answer the
particular questions. 1.) A solution containing 1 / 2 lb. of salt per gallon ﬂows into a tank at the
rate of 2 gal. / min. and the wellstirred mixture ﬂows out of the tank at the same rate. The tank initially holds 100 gallons of solution containing 5 lbs.
of salt. a.) How much salt is in the tank after 30 minutes ? b.) How much salt do you expect to be in the tank as t gets inﬁnitely
large ? 2.) A solution containing 1 lb. of salt per gallon flows into a tank at the rate
of 5 gal. / min. and the wellstirred mixture ﬂows out of the tank at the rate
of 4 gal. / min. The tank initially holds 50 gallons of water containing no salt. a.) How many gallons of solution are in the tank after 1 hour ? b.) How much salt is in the tank after 1 hour ? c.) Assuming that the tank is very large, how much salt per gallon do
you expect to be in the tank as t get inﬁnitely large ? ...
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 Spring '11
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