The half time of first order decomposition of nitramide is 2.1 hour at 15°C.NH2NO2(aq.)→ N2O(g)+H2O(l)If 6.2 g of NH2NO2 is allowed to decompose, calculate time taken in hours for NH2NO2 to decompose 99%.[log102=0.3]

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answer is 0013.95.

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Detailed Solution

∵ t=2.303klog10a(a−x) If t=t2,x=a2; ∴t1/2=2.303klog10aa-a2 . . . . . (1)If t=t99%, x=99a100; t99%=2.303klog10aa−99a100 . . . . (2)By Eqs. (1) and (2),t99%=log10100log102×t1/2=20.3010×2.1 = 13.95 hour

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