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Q.

For a zero order reaction and a 1st order reaction half life are in ratio of 4 : 1. Calculate ratio of time taken to complete 87.5 % reaction for zero order : first order reaction respectively.

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a

3 : 7

b

7 : 3

c

5: 3

d

4: 1

answer is A.

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Detailed Solution

Here,

$t_{87.5} = 3 \times {(t_{1 / 2})}_{1 st}$

$t_{87.5}$ for zero order

$= \frac{0.875 a}{k} = 0.875 \times 2 \times {(t_{1 / 2})}_{0 th}$

So, the ratio of time taken to complete 87.5 % reaction for zero order : first order reaction

$\frac{{(t_{87.5})}_{0 th}}{{(t_{87.5})}_{18 t}} = \frac{0.875 \times 2}{3} \times 4$

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For a zero order reaction and a 1st order reaction half life are in ratio of 4 : 1. Calculate ratio of time taken to complete 87.5 % reaction for zero order : first order reaction respectively.