A chemical reaction is governed by the differential equation where x(t) is the concentration of the chemical

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A chemical reaction is governed by the differential equation

dx dt K(5 - x)2

where x(t) is the concentration of the chemical at time t. The initial concentration is zero and the concentration at time 5 s is found to be 2. Determine the reaction rate constant K and find the concentration at time 10 s and 50 s. What is the ultimate value of the concentration?

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