Monday, June 10, 2013

Consider a certain reaction A → Products with k = 2.0 × 10−2 s−1. Calculate the concentration of A remaining after 100 s if the initial concentration of A is 1.0 mol L−

Question 4.24: Consider a certain reaction A → Products with k = 2.0 × 10−2 s−1. Calculate the concentration of A remaining after 100 s if the initial concentration of A is 1.0 mol L−1.
Answer
Given that
Rate constant, k = 2.0 × 10−2 s−1
Unit of rate constant is s-1 so it is a first order reaction
Time period, t = 100 s
Initial concentration, [A]o = 1.0 moL−1
Use the formula of first order reaction we get

Plug the values in this formula we get
Use formula log x/ y = log x - log y, and plug log 1 = 0 we get

 solve it  and take antilog both side, we get
[A]= 0.135 mol L−1 (approx)
Answer
Remaining concentration of A = 0.135 mol L−1

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