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Physics · UNITS AND MEASUREMENT
हिन्दीThe size of a hydrogen atom is about \( 0.5 \text{ \AA} \). The total atomic volume of 1 mole of hydrogen atoms in \( \text{m}^3 \) is closest to: (Take \( \pi = 3.14 \), Avogadro's number \( N_A = 6.02 \times 10^{23}\text{ mol}^{-1} \))
Correct answer · Option 1
\( 3.15 \times 10^{-7}\text{ m}^3 \)
Explanation
Volume of 1 atom \( V_1 = \frac{4}{3}\pi r^3 = \frac{4}{3} (3.14) (0.5 \times 10^{-10})^3 \approx 5.23 \times 10^{-31}\text{ m}^3 \). Total volume for 1 mole \( = V_1 \times N_A \approx 3.15 \times 10^{-7}\text{ m}^3 \).
