The unit of length convenient on the atomic scale

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The unit of length convenient on the atomic scale is known as an angstrom and is denoted by Å: 1 Å = 10-10 m. The size of a hydrogen atom is about 0.5 Å. What is the total atomic volume in m3 of a mole of hydrogen atoms ?​

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Answer:

Radius of hydrogen atom, r = 0.5 Å = 0.5 × 10-10 m

Volume of hydrogen atom = (4/3) π r3

= (4/3) × (22/7) × (0.5 × 10-10)3

= 0.524 × 10-30 m3

1 mole of hydrogen contains 6.023 × 1023 hydrogen atoms.

∴ Volume of 1 mole of hydrogen atoms = 6.023 × 1023 × 0.524 × 10–30

= 3.16 × 10–7 m3


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