relation between k and t for first order reaction

Asked by rchaitra1204 | 7th Sep, 2020, 09:43: AM

Expert Answer:

In first order reaction, We can write-
V1=K1 [A]
V2 =K2 [A]
 
straight K subscript 1 equals fraction numerator ln open parentheses begin display style fraction numerator 1 over denominator 1 minus begin display style 90 over 100 end style end fraction end style close parentheses over denominator straight t end fraction equals fraction numerator ln open parentheses begin display style fraction numerator 1 over denominator.1 end fraction end style close parentheses over denominator straight t end fraction equals fraction numerator ln 10 over denominator straight t end fraction
straight K subscript 2 equals fraction numerator ln open parentheses begin display style fraction numerator 1 over denominator 1 minus begin display style fraction numerator 99.9 over denominator 100 end fraction end style end fraction end style close parentheses over denominator 2 straight t end fraction equals fraction numerator ln open parentheses begin display style fraction numerator 1 over denominator 0.01 end fraction end style close parentheses over denominator 2 straight t end fraction equals fraction numerator ln open parentheses 10 squared close parentheses over denominator 2 straight t end fraction equals fraction numerator ln 10 over denominator straight t end fraction

So comma space straight K subscript 1 over straight K subscript 2 equals 1

Answered by Ravi | 7th Sep, 2020, 12:03: PM

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