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Question

A reaction is of first order. After 100 minutes 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 minutes
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B
200 minutes
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C
150 minutes
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D
175 minutes
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Solution

The correct option is A 100 minutes
From the first order reaction system we know that,
K=2.303logA0At

k=2.303log10025100

For 200 g,
2.303log10025100=2.303log20050t

0.602/100=0.602/t

t=100minutes

Option A is correct.

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