A tank contains 200 litres of fluid in which 60 grams of salt is dissolved. A brine solution of 2 grams of salt per litre is pumped into the tank at a rate of 2 litres/minute. The well-stirred solution is then pumped out at the same rate.
| (a) | Write the differential equation in terms of Q(t) and t and write the initial condition to model this |
problem. (Q(t) should represent the amount of salt in the tank at time t).
| (b) | Solve the equation in part (a). |
| (c) | How much salt will be present in the tank after a long period of time? |
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(a)  = 400 -  , Q(0) = 60 | (b) Q(t) = 40 - 34 e-t/100 | (c) 40 grams |
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(a) = 2 -  , Q(0) = 60 | (b) Q(t) = 200 - 340 e-t/100 | c) 200 grams |
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| (a) = 4 - , Q(0) = 60 | (b) Q(t) = 400 - 340 e-t/100 | (c) 400 grams |
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| (a) = 400 - Q(t), Q(0) = 60 | (b) Q(t) = 400 - 340 e-t | (c) 400 grams |
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| (a) = 400 - , Q(0) = 60 | (b) Q(t) = 4 - 3.4 e-t/100 | (c) 4 grams |
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