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A is being converted into a compound B over time The rate of the reaction...

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A is being converted into a compound B over time The rate of the reaction in moles per liter per second is given by the equation r t k e kt 1 e kt where t is the time in seconds k is a positive constant and e is the base of the natural logarithm a Determine the limit of the rate of reaction as t approaches infinity i e find the value of Lim t oo r t Express your answer in terms of k b Find the value of k that maximizes the initial rate of reaction r 0 c Given that the concentration of compound A at t 0 is 1 mole per liter calculate the time it takes for the concentration of compound A to decrease

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