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Question

Consider a certain reaction; A products with k=2.0×102s1. Calculate the concentration of A remaining after 100 s, if the initial concentration of A is 1.0 mol L1.


Solution

For the first order reaction
t=2.303klog[A]0[A]orlog[A]0[A]=k×t2.303k=2.0×102s1;t=100s;[A]0=1.0 mol L1=1.0Mlog[A]0[A]=(2.0×102s1)×(100 s)2.303=0.8684[A]0[A]=Antilog 0.8684=7.3858[A]=[A]07.3858=[1M]7.3858=0.135M[A]=0.135M

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