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In particular chemical reaction, a grams of substance A react with b grams of substance B

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In particular chemical reaction, a grams of substance A react with b grams of substance B. The number of grams of reaction product produced, x(t), at time t can be deterrnined by integrating both sides of the following relation where k is a constant for the reaction: dx (a — x)(b —)k f dt 
Suppose x(0) = 0. Deterrnine x(t) if a = b = 50. (Write your numbers in the form of fractions a/b if needed.) x(t) =