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  4. For the first order reaction, 3 X longrightarrow Y concentration varies with time as shown in the following graph. The half-life of the reaction would be

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Q. For the first order reaction, $3 X \longrightarrow Y$ concentration varies with time as shown in the following graph. The half-life of the reaction would beChemistry Question Image

Chemical Kinetics

Solution:

From graph it follows that at time 4 minute from the start of the reaction.
image
$a-x=\frac{x}{3}$
$x=\frac{3 a}{4}$
$a-x=a-\frac{3 a}{4}=\frac{a}{4}$