Benzoyl chloride, c6h5cocl, reacts with water to form benzoic acid, c6h5cooh, and hydrochloric acid. this first-order reaction is 25% complete after 26 s. how much longer would one have to wait in order to obtain 99% conversion of benzoyl chloride to benzoic acid? 180 s210 s290 s390 s420 s

The time required for the conversion of benzoyl chloride to benzoic acid is 390 seconds.

Explanation:

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