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Class: Differential Equations Two chemicals A and B are combined to form a chemi

ID: 3009313 • Letter: C

Question

Class: Differential Equations

Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams of C is formed in 6 minutes.

1) How much is formed in 12 minutes? (Round your answer to one decimal place.)

*My teacher told me to set up the problem like this, but I'm not sure how find the solution. I probably made an mistake maybe when solving for C or setting up the equation.

2) What is the limiting amount of C after a long time?

_____________grams

3) How much of chemicals A and B remains after a long time?

A=____________grams

B=____________grams

Explanation / Answer

integrate it