Question

In: Chemistry

Consider the reaction A -> products at 312 K. For this reaction it was observed that...

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.

Solutions

Expert Solution

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.


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