Chemical Reaction Problem: Suppose that a rare substance called calculus foeride reacts

Chapter 7, Problem 3

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Chemical Reaction Problem: Suppose that a rare substance called calculus foeride reacts in such a way that the rate of change in the amount of foeride left unreacted is directly proportional to that amount. a. Write a differential equation that expresses this relationship. Integrate it to find an equation that expresses amount in terms of time. Use the initial conditions that the amount is 50 mg when t = 0 min, and 30 mg when t = 20 min. b. Sketch the graph of amount versus time. c. How much foeride remains an hour after the reaction starts? d. When will the amount of foeride equal 0.007 mg?

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