Q. 154.4( 10 Votes )

# A first order rea

Answer :

Given:

Time for 25% decomposition = 20 minutes

First we need to calculate the value of rate constant. To calculate rate constant, we apply the formula for the first order reaction:

K = log Where t is time,

a is the no. of moles per litre,

(a-x) is the concentration of a after time t

As, t = 20 minutes (given)

a = 100, x = 25

k = log k = log k = 0.0143 min-1

Now, t= ?, when reaction is 75% complete, i.e., x= 75

To calculate the time, we apply the same formula

K = log Using formula, we write

t = log As, k = 0.0143 min-1 (calculated above)

t = log t = log t = 96.96 minute

Thus, the time when 75% of the reaction will be completed is 96.96 minutes.

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