$N{H}_{2}N{O}_2{N}_{2}O(g)+H_{2}O(l)$

the experiment is followed by measuring the volume of dinitrogen oxide gas. During an experiment, $45\mathrm{.}0mg$ of $N{H}_{2}N{O}_2$ was allowed to break down at $15C.$ The collected dinitrogen oxide after $48\mathrm{.}0$min. is $5\mathrm{.}62ml$ at $0\mathrm{.}960$ bar. Find the:

a$)$ rate constant

b$)$ the half$-$life for decomposition of $N{H}_{2}N{O}_2.$

Molar mass of $N{H}_{2}N{O}_2=62\mathrm{.}023\frac{g}{m}ol$

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