Two chemicals A and B are combined to form a chemical C. the reaction rate is pr

Question

Two chemicals A and B are combined to form a chemical C. the reaction rate is proportional to the product of the amounts of A and B not yet converted to chemical C. Initially, the re are 60 grams of A and 40 grams of B. Each gram of C created consumes 1 gram of B and 3 grams of A. It is observed that 10 grams of C is formed in 5 minutes. Write an autonomous differential equation which gives the amount x of chemical C created in t minutes. Solve the differential equation. As time increases, how much chemical C is created? Which and how much of chemical A and B is left?

Explanation / Answer

dC/dt=dB/dt=3dA/dt total 20 grams of Cis created and 10 grams as time increases, A left=0, B left=20 gm

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