Question

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$\large\bold\red{Q.}$ In the thermal decomposition of $N{H}_{4}N{O}_{2}$, 50% of the compound decomposed in 34.65 minutes. What is the time required in minutes for the 90% decomposition of the compound ?

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Answer 1

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$k = \frac{0.6932}{120} ......(1) \\ k = \frac{2.303}{t} log \: \frac{a}{0.10a} \\ = \frac{2.303}{t} log10.......(2) \\ from \: equation \: 1 \: and \: 2 \\ \frac{0.6932}{120} = \frac{2.303}{t} \\ t = 399min$

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