Question

In: Advanced Math

In a certain chemical reaction, substance A, initially weighing 12 lb, is converted into substance B....

In a certain chemical reaction, substance A, initially weighing 12 lb, is converted into substance B. The rate at which B is formed is proportional to the amount of A remaining. At the end of 2.5 min, 4 lb of B have been formed.

(a) How much of the B substance will be present after 6 min?

(b) How much time will be required to convert 60 percent of A?

Work this problem in two ways:

1. Letting x represent amount of A remaining at time t.

2. Letting x represent amount of B formed at time t.

The answers are: (a) 7.47 lb. (b) 5.6 min.

I need someone to show me how this problem is worked out from start to finish. Thanks a bunch & take it easy!

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