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Argon is formed in meteorites due to cosmic events. Each cosmic event produces an argon atom. If $1.12 \times 10^{- 3} m L$ of argon is formed at STP from $10 k g$ of a meteorite, the number of cosmic events that occurred is

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a

$9 \times 10^{16}$

b

$3 \times 10^{16}$

c

$1.5 \times 10^{16}$

d

$6 \times 10^{16}$

answer is A.

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Detailed Solution

Given that each cosmic event = 1 argon atom

1 mole argon $= 22400 m L = 6.023 \times 10^{23}$ atoms

$1.12 \times 10^{- 3} m L = ?$

$X = 1.12 \times 10^{- 3} m L \times 6.023 \times 10^{23} / 2.24 \times 10^{4} = 3.0115 \times 10^{16}$

Hence the correct option is (A).

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Argon is formed in meteorites due to cosmic events. Each cosmic event produces an argon atom. If 1.12×10-3 mL of argon is formed at STP from 10 kg of a meteorite, the number of cosmic events that occurred is