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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 ?

Q 2.16: The unit of length convenient on the atomic scale is known as an angstrom and is denoted by \AA : 1\ \AA = 10^{-10} m. The size of a hydrogen atom is about 0.5 \AA. What is the total atomic volume in m^3 of a mole of hydrogen atoms?

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Radius of an Hydrogen atom = 0.5 \AA= 0.5 x 10-10 m

Volume = \frac{4}{3} \pi r^3

4/3 \times 22/7 \times (0.5 \times 10^{-10})^3

= 0.524 \times 10^{-30} m^3

1 hydrogen mole contains 6.023 \times 10^{23} hydrogen atoms.

The volume of 1 mole of hydrogen atom = 6.023 \times 10^{23} \times 0.524 \times 10^{-30}

= 3.16 \times 10^{-7} m^3 \approx 3 \times 10^{-7} m^3.

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