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Standard XII

Chemistry

First Order Reaction

Decomposition...

Question

Decomposition of $H_{2} O_{2}$ is a first order reaction. A $16$ volume solution of $H_{2} O_{2}$ of half life $30$ min is present at start. When will the solution become one volume?

After

120

min

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After

90

min

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After

60

min

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After

150

min

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Solution

The correct option is A After $120$ min
Given that $a_{0} = 16 V$ , $a_{t} = 1 V$ , $t_{1 / 2} = \frac{I n 2}{k}$ =30 min
For 1st order reaction, $t = \frac{1}{k} I n \frac{a_{0}}{a_{t}}$
$t = \frac{t_{1 / 2}}{I n 2} . I n 16$ = $4 t_{1 / 2} = 120$ min

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Decomposition of H2O2 is a first order reaction. A 16 volume solution of H2O2 of half life 30 min is present at start. When will the solution become one volume?

The correct option is A After 120 minGiven that a0=16V, at=1V, t1/2=In2k=30 minFor 1st order reaction, t=1kIna0att=t1/2In2.In16=4t1/2=120 min

Decomposition of $H_{2} O_{2}$ is a first order reaction. A $16$ volume solution of $H_{2} O_{2}$ of half life $30$ min is present at start. When will the solution become one volume?

The correct option is A After $120$ min
Given that $a_{0} = 16 V$ , $a_{t} = 1 V$ , $t_{1 / 2} = \frac{I n 2}{k}$ =30 min
For 1st order reaction, $t = \frac{1}{k} I n \frac{a_{0}}{a_{t}}$
$t = \frac{t_{1 / 2}}{I n 2} . I n 16$ = $4 t_{1 / 2} = 120$ min