QJEEM22Ch4121: JEE Main 2022 Chemistry - Class 12 JEEM22Ch4121 Solution: At 30 ∘ C , the half life for the decomposition of AB 2 is 200…

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QJEEM22Ch4121: JEE Main 2022 Chemistry - Class 12 JEEM22Ch4121 Solution: At 30 ∘ C , the half life for the decomposition of AB 2 is 200…

At $30^{\circ} C$ , the half life for the decomposition of ${AB}_{2}$ is $200 s$ and is independent of the initial concentration of ${AB}_{2}$ . The time required for $80 %$ of the ${AB}_{2}$ to decompose is

Given: $\log 2 = 0.30$ $\log 3 = 0.48$

Multiple Choice Options

A 200 s
B 323 s
C 467 s
D 532 s

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Accepted Answer

Since, half-life is independent of the initial concentration of

A B_{2}

. Hence, the reaction is "First Order".

k = \frac{2.303 \log 2}{t_{1 / 2}}

\frac{2.303 \log 2}{t_{1 / 2}} = \frac{2.303}{t} \log \frac{100}{(100 - 80)}

\frac{2.303 \times 0.3}{200} = \frac{2.303}{t} \log 5

t = 467 s

QJEEM22Ch4121: JEE Main 2022 Chemistry - Class 12 JEEM22Ch4121 Solution: At 30 ∘ C , the half life for the decomposition of AB 2 is 200…

Multiple Choice Options

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