Radium 226 decays to radon 222 gas by α -emission with a half of 1600 years. The volume of the gas evolved at STP from 2.26 g of radium over a period of its mean life is approximately

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n Ra ​ = 226 2.26 ​ = 0.01 mol Over one mean life the fraction decayed is 1 − e − 1 : n gas ​ = 0.01 ( 1 − e − 1 ) = 6.3 × 1 0 − 3 mol V = 6.3 × 1 0 − 3 × 22400 cc ≈ 140 cc Hence option (C).

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