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Which of the following statements are correct

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Time required for 75% completion is 1.5 times of half life for zero order reaction

Time needed for the definite fraction of 1^st order reaction does not vary with initial concentration

Time for 25% reaction is one third of half life in second order process.

Rate of 1^st order reaction gets doubled. If the conc. of the reactant is increased to two fold values.

answer is A, B, C, D.

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Detailed Solution

For zero order $r \times n$

a) $\frac{t_{x %}}{t_{y %}} = \frac{x %}{y %} \Rightarrow \frac{t_{75 %}}{t_{50 %}} = \frac{75}{50} = 1.5$

c) for 2^nd order reaction $\frac{t_{x %}}{t_{y %}} = \frac{x}{y} \times \frac{(100 - y)}{(100 - x)}$

$\frac{t_{25 y}}{t_{50 y}} = \frac{25 \times 50}{50 \times 75} \Rightarrow t_{25 %} = \frac{1}{3} \times t_{50 %}$

d) $\frac{r_{1}}{r_{2}} = {(\frac{C_{1}}{C_{2}})}^{1} : C_{2} = 2 C_{1}$

$∴ r_{2} = 2 \times r_{1}$

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