The size of the hydrogen atom is about 0-4 - Calculate the total volumein m 3 of a mole of hydrogen atom-

Radius of hydrogen atom, r = 0.4 Å = 0.4 × 10 10 m Volume of hydrogen atom = (4/3) π r3 = (4/3) × (22/7) × (0.4 × 10 10)3 = 0.2679× 10 30 m3 1 mole of hydrogen ...

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Standard XII

Chemistry

Stoichiometry

The size of t...

Question

The size of the hydrogen atom is about 0.4Å. Calculate the total volume(in m³) of a mole of hydrogen atom?

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Solution

Radius of hydrogen atom, r = 0.4 Å = 0.4 × 10^-10m
Volume of hydrogen atom = (4/3) π r³
= (4/3) × (22/7) × (0.4 × 10^-10)³
= 0.2679× 10^-30 m³

1 mole of hydrogen contains 6.023 × 10²³ hydrogen atoms.
∴ Volume of 1 mole of hydrogen atoms = 6.023 × 10²³ × 0.2679 × 10^–30
= 1.61 × 10^–7 m³

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