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 100 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 5 minutes. Find an equation for the amount of C, x(1), in time /[ Provide a formula with the only variables x and 1- not necessary to solve for x()]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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3. 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 100 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 5 minutes. Find an equation for the amount of C, x(1), in
time /[ Provide a formula with the only variables x and 1- not necessary to solve for x()]
Transcribed Image Text:3. 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 100 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 5 minutes. Find an equation for the amount of C, x(1), in time /[ Provide a formula with the only variables x and 1- not necessary to solve for x()]
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