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This is a calculus problem. Please help me because I am trying for two days and couln't solve this problem.

First Order Chemical Reactions, In some chemical reactions the rate at which the amount of a substance changed with time is proportional to the amount present. For the change of glucono lactone into gluconic acid, for example,
(dy/dt) = -0.6y
when y is measured in grams and t is measured in hours. If there are 100 grams of a glucono lactone present when t = 0, how many grams will be left after the first hour?

2007-12-18 16:10:51 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

dy is the change in grams, and dt is the change in time, correct?

so dy/1=-.6(100)

dy=-60

Since there is a change of -60, there are 40 grams left.

2007-12-18 16:17:13 · answer #1 · answered by KJH 4 · 1 0

The solution to the equation is A= Aoe-bt. Ao= 100 and b=-0.6. So at hour 1, A= 100 e-0.6 This is roughly A=70.

2007-12-18 16:19:53 · answer #2 · answered by cattbarf 7 · 0 0

okay i didn't get it but the answer above mine seems correct

2007-12-18 16:18:18 · answer #3 · answered by tine 4 · 0 0

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