Chemical Kinetics - Result Question 21

####21. A first order reaction has a specific reaction rate of 102s1. How much time will it take for 20g of the reactant to reduce to 5g ?

(a) 138.6sec

(b) 346.5sec

(c) 693.0sec

(d) 238.6sec

[2017]

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Solution:

  1. (a) Half life for a first order reaction,

t1/2=0.693K So, t1/2=0.693102sec

Also, for the reduction of 20g of reactant to 5g, two half lives will be required.

For 20g of the reactant to reduce to 5g, timetaken,

t=2×0.693102sec=138.6sec.

N=N0(12)n

where N= mass after n number of half life

n= number of half life

N0= Initital mass



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