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<u>Answer:</u> The time required for the conversion of benzoyl chloride to benzoic acid is 390 seconds.
<u>Explanation:</u>
The expression for the rate law of first order kinetics is given as:
......(1)
where,
= initial mass of isotope = 100 g
N = mass of the parent isotope left after the time = 100 - 25 = 75 g
t = time taken = 26 s
k = rate constant = ?
Putting values in above equation, we get:
Now, we need to find the time when 99 % of the reaction is complete. Using equation 1 again, we get:
= initial mass of isotope = 100 g
N = mass of the parent isotope left after the time = 100 - 99 = 1 g
t = time taken = ? s
k = rate constant =
Putting values in above equation, we get:
Time required for the conversion of benzoyl chloride to benzoic acid = 416 - 26 = 390 s