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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