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Q. The half-life of decomposition of $N_2O_5$ is a first order reaction represented by
$N_2O_5 \to N_2O_4 + 1/2O_2$
After $15$ minutes the volume of $O_2$ produced is $9 \,mL$ and at the end of the reaction $35 \,mL.$ The rate constant is equal to:

Chemical Kinetics

Solution:

$K\times15=ln\left(\frac{35-0}{35-9}\right)$