In the Thrall model, the reaction rate (with respect to time) is proportional to the amount x of the new substance at time t , and the reaction rate is also proportional to a - x where a is the original amount of the first substance.
a. Why does this mean that
dx/dt = K x (a - x)
for some positive constant K ?
b. Differentiate with respect to x your expression for dx/dt.

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