4 At time t = 0 a tank contains Qo lb of salt dissolved in 100 gal of water. Assume that water containing lb of salt/gal
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4 At time t = 0 a tank contains Qo lb of salt dissolved in 100 gal of water. Assume that water containing lb of salt/gal
4 At time t = 0 a tank contains Qo lb of salt dissolved in 100 gal of water. Assume that water containing lb of salt/gal is entering the tank at a rate of r gal/min and that the well-stirred mixture is draining from the tank at the same rate. 1. Construct a differential equation model to trace the amount of salt in the tank. 2. Find the amount of salt in the tank at any time t. What is the limit amount of salt in the tank? 3. Suppose Qo = 50 and r = 3. Find a time Tat which the salt level is within 2% of the limiting amount.
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