1. The half-life of Plutonium-239 is 24,100 years.  10 grams of Plutonium-239 were released in a nuclear accident.  How long will it take for the 10 grams to decay to 1 gram? 2. A tank with 100 liters of brine containing 50 kg of dissolved salt.  Pure water is allowed to run into the tank at the rate of 3 liters per minute.  Brine runs out of the tank at  the rate of 2 liters per minute.  The instantaneous concentration in the tank is kept uniform by stirring.  How much salt is in the tank at the end of one hour?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 20E: Half-Life The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4...
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1. The half-life of Plutonium-239 is 24,100 years.  10 grams of Plutonium-239 were released in a nuclear accident.  How long will it take for the 10 grams to decay to 1 gram?

2. A tank with 100 liters of brine containing 50 kg of dissolved salt.  Pure water is allowed to run into the tank at the rate of 3 liters per minute.  Brine runs out of the tank at  the rate of 2 liters per minute.  The instantaneous concentration in the tank is kept uniform by stirring.  How much salt is in the tank at the end of one hour?

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