In: Chemistry
Consider the reaction A -> products at 312 K.
For this reaction it was observed that the first three half lives were 10.7 h, 5.35 h, and 2.675 h when [A] 2.873M. How long will it take for [A] to decrease by 47%?
Time for [A] to decrease by 47% (in hours) = Anwser is 10.1h need help on how to get this anwser.
From the given data we can analyse that after each half-life period, concentration of [A] drops in half when we plot [A] versus half life time it gives a curved (exponential) line that shows it is a first-order reaction.
For first order reaction the half life formula is
From here we can calculate the value of k
The equation for the first order reaction that relates the
remaining concentration of A to the time
Here the remaining concentration A is 100-47 = 53% of initial concentration.
Initial concentration A0 is = 2.873 M
Therefore from the formula
The correct answer should be 9.8 hours.