The hydrolysis of sucrose to form fructose and glucose is a first order reaction that has a half life of 2.84 x 103 seconds at a certain temperature. If the initial concentration of sucrose is 0.895 M, how long (in minutes) will it take for the concentration to be reduced to 0.371 M? (3 significant figures)
The hydrolysis of sucrose to form fructose and glucose is a first order reaction that has a half life of 2.84 x 103 seconds at a certain temperature. If the initial concentration of sucrose is 0.895 M, how long (in minutes) will it take for the concentration to be reduced to 0.371 M?
(3 significant figures)
Given that, the hydrolysis of sucrose to form fructose and glucose is a first order reaction.
The half life of the reaction is t1/2 = 2.84103 s.
The initial consultation of sucrose is [Ao] = 0.895 M.
We have to calculate the time required when the concentration of the sucrose reduced to 0.371 M, i.e. [A] = 0.371 M.
We know that for the first order reaction the rate constant is k = 0.693/t1/2 = 0.693/(2.84103 s) = 2.4410-4 s-1.
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