Question

Question 2.16 The unit of length convenient on the atomic scale is known as an angstrom and is denoted by. The size of a hydrogen atom is aboutwhat is the total atomic volume in m3 of a mole of hydrogen atoms?

Class XI Physics Units And Measurements Page 36

Answer 1

1 mole of hydorgen = 6.023 × 10²³ atoms of hydrogen .
size of 1 H - atom ( bond length) = 0.7A°
2 × radius of H-atom = 0.7 A°
radius of H-atom = 0.35A°
volume of 1 H-atom = 4/3πr³
= 4 × 22/7 × (0.35)³/3 × 10^-30 m³
=0.1797 × 10^-30 m³

volume of one mole = 6.023 × 10²³ × 0.1797× 10^-30 = 1.08 × 10^- 7 m³

Answer 2

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Radius of hydrogen atom, r = 0.5 Angstrom= 0.5 × 10^–10 m

Volume of hydrogen atom

=4/3 πr^3

=(4/3)(22/7)(0.5×10^-10)^3

= 0.524×10^-30 m^3

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

I hope, this will help you

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