A sample contains 10 - 2 kg each of the two substances A and B with half-lives 4 s and 8 s respectively. Their atomic weights are in the ratio of 1 : 2 . Amounts of A and B after an interval 16 s are

Question

A sample contains 10 - 2 kg each of the two substances A and B with half-lives 4 s and 8 s respectively. Their atomic weights are in the ratio of 1 : 2 . Amounts of A and B after an interval 16 s are, A = 0.625 × 10 - 4 kg , B = 0.25 × 10 - 3 kg, A = 0.25 × 10 - 3 kg , B = 0.625 × 10 - 4 kg, A = 2.5 × 10 - 3 kg , B = 6.25 × 10 - 4 kg, A = 6.25 × 10 - 3 kg , B = 2.5 × 10 - 3 kg

MARKS App · Accepted Answer

The amount left after N half - lives N = N 0 1 2 n For A, n = t T 1 2 = 16 s 4 s = 4 N A = 10 - 2 kg 1 2 4 = 6.25 × 10 - 4 kg For B, n = 16 s 8 s = 2 N B = 10 - 2 kg 1 2 2 = 2.5 × 10 - 3 kg

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