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← JEE Main 2022 · 28 Jul · Shift 1
ChemistryInteger+4 / -1Question 86 of 90

JEE Main 2022 · 28 Jul · Shift 1, Chemistry question 86

For the given first order reaction

A → 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)

Answer and worked solution

Official answer: 100

Rate constant k=0.6930.301=2.303k=\frac{0.693}{0.301}=2.303 min−1^{-1}.

Ratio. log⁡[A]0[A]=kt2.303=2\log\frac{[A]_0}{[A]}=\frac{kt}{2.303}=2, so the ratio is 100.

Answer: 100