Differential Equations 9. 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

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Differential Equations  9. 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 10 grams of  ( C  ) is formed in 5 minutes. How much is formed in 20 minutes? What is the limiting amount of  ( C  ) after a long time? How much of chemicals  ( A  ) and  ( B  ) remains after a long time? 10. Solve Problem 9 if 100 grams of chemical  ( A  ) is present initially. At what time is chemical  ( C  ) half-formed?

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