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JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

For the given first order reaction \(\text { A } \rightarrow \text { B }\) the half life of the reaction is \(0.3010\,min\). The ratio of the initial concentration of reactant to the concentration of reactant at time \(2.0\,min\) will be equal to \(........\) (Nearest integer)

  1. A \(110\)
  2. B \(112\)
  3. C \(100\)
  4. D \(113\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(100\)

Step-by-step Solution

Detailed explanation

\(A \rightarrow B \quad t _{1 / 2}=0.3010\,min\) \(A _{0} / A _{ t }\) at time \(2\,min =?\) \(K =\frac{2.303}{ t } \log \left[\frac{ A _{0}}{ A _{ t }}\right]\) \(\frac{0 \cdot 693}{ t _{\frac{1}{2}}}=\frac{2 \cdot 303}{2} \log \left(\frac{ A _{0}}{ A _{ t }}\right)\) Or…
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