JEE Main 2022 · 26 Jul · Shift 2 · Chemistry Q64

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ChemistrySingle correct+4 / -1Question 64 of 90

At 30°C, the half life for the decomposition of $\mathrm{AB_2}$ is 200 s and is independent of the initial concentration of $\mathrm{AB_2}$ . The time required for 80% of the $\mathrm{AB_2}$ to decompose is

Given: log 2 = 0.30, log 3 = 0.48

200 s

323 s

467 s

532 s

Answer and worked solution

Official answer: C

First order (half life independent of concentration).

80% decomposed leaves $\frac15$ : $t=t_{1/2}\frac{\log5}{\log2}=200\times\frac{0.70}{0.30}\approx467$ s.

(C)

Topics:Integrated rate equations Half-life

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JEE Main 2022 · 26 Jul · Shift 2, Chemistry question 64