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Units and Measurements — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsUnits and Measurements1 Mark
Question
The unit of length convenient on the atomic scale is known as an angstrom and is denoted by $\mathring{\text{A}}:1\mathring{\text{A}}=10^{-10}\text{m}.$
The size of a hydrogen atom is about $0.5\mathring{\text{A}}.$ What is the total atomic volume in m3 of a mole of hydrogen atoms?
✓

Answer

Radius of hydrogen atom, $\mathbf{r}=0.5 \mathring{\text{A}}=0.5 \times 10-10 \mathrm{~m}$ Volume of hydrogen atom $=4 / 3 \pi \mathrm{r}^3=4 / 3 \times 22 / 7 \times(0.5$ $\left.\times 10^{-10}\right)^3=0.524 \times 10^{-30} \mathrm{~m}^3 1 \mathrm{~mole}$ of hydrogen contains $6.023 \times 10^{23}$ hydrogen atoms.
$\therefore$ Volume of 1 mole of hydrogen atoms $=6.023 \times 10^{23} \times 0.524 \times 10^{-30}$
$=3.16 \times 10^{-7} \mathrm{~m}^3$

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