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Question: Answered & Verified by Expert
A first order reaction is given as $A \rightarrow$ products. Its integrated equation is
ChemistryChemical KineticsMHT CETMHT CET 2011
Options:
  • A $k=\frac{2.303}{t} \log \frac{a-x}{a}$
  • B $k=\frac{1}{t} \log \frac{a}{a-x}$
  • C $k=\frac{2.303}{t} \log \frac{a}{a-x}$
  • D $-k=\frac{1}{t} \log \frac{a-x}{a}$
Solution:
2579 Upvotes Verified Answer
The correct answer is: $k=\frac{2.303}{t} \log \frac{a}{a-x}$
For a first order reaction,
$$
k=\frac{2.303}{t} \log \frac{a}{a-x}
$$
where, ' $a$ ' is the initial concentration and ' $x$ ' is the amount reacted in time ${ }^{\prime}$.

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