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First Order Reaction

A reaction is...

Question

A reaction is of first order. After $100 m i n u t e s 75 g$ of the reactant A are decomposed when $100 g$ are taken initially. Calculate the time required when $150 g$ of the reactant A are decomposed, the initial weight taken is $200 g$ :

A

100 m i n u t e s

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B

200 m i n u t e s

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C

150 m i n u t e s

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D

175 m i n u t e s

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Solution

The correct option is A $100 m i n u t e s$
From the first order reaction system we know that,
$K = \frac{2.303 l o g \frac{A_{0}}{A}}{t}$

$k = \frac{2.303 l o g \frac{100}{25}}{100}$

For 200 g,
$\frac{2.303 l o g \frac{100}{25}}{100} = \frac{2.303 l o g \frac{200}{50}}{t}$

$0.602 / 100 = 0.602 / t$

$t = 100 m i n u t e s$

Option A is correct.

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