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1 mole of a gas contains 6.02 x 10²³ molecules of it.
Also, 1 mole of a gas occupies 22,400 cc at STP
Now, 2.24 x 10⁴ cc of volume is occupied by 1 mole
so, 1.12 x 10⁻⁷ cc of volume is occupied by 5 x 10⁻¹² moles
we know,
1mole of gas contains 6.02 x 10²³ molecules
5 x 10⁻¹² moles of gas hence contains 5 x 10⁻¹² x (6.02 x 10²³) molecules
→ 30.1 x 10¹¹ molecules
→ 3.01 x 10¹² molecules of gas
Thus 1.12 x 10⁻⁷ cc of volume is occupied by 3.01 x 10¹² molecules of gas.
hope it helps!
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