An α -particle changes into a Helium atom. In the course of one year the volume of Helium collected from a sample of Radium was found to be 1.12 × 10^–2mL at STP. The number of α particles emitted by the sample of Radium in the same time is

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6 × 10¹⁷

3 × 10¹⁷

1.2 × 10¹⁷

1.5 × 10¹⁷

answer is B.

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Detailed Solution

Number of α particles emitted by the sample = no. of Helium atoms.

no. of Helium atoms= $= \frac{given volume}{Grammolar volume} N = \frac{1.12 \times 10^{- 2}}{22400} \times 6.023 \times 10^{23} = 3 \times 10^{17}$

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