How to Calculate Non-Integer Number of Half Lifes
Half life is the time taken for the concentration of reactants to decrease to half of its original amount.
For first order reactions, half life is constant.
For this question, half life is 3.47 seconds so we will expect the initial concentration x to decrease by 50% every 3.47 seconds.
1/3 of initial concentration does not correspond to integer number of half lifes hence we will need to use the following formula.
Ct is concentration of reactants at time t
C0 is initial concentration of reactants
n is number of half lifes which is also time divided by half life
We can calculate n to be 1.585.
Next time can be determined to be 5.5 seconds.
Hence the answer to this question is option C.
Topic: Kinetics, Physical Chemistry, A Level Chemistry, Singapore
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