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The volume of a ground state hydrogen atom is 0.62 ų. What is this volume in cm³?

A) 6.2 x 10⁻³⁷ cm³
B) 6.2 x 10⁻¹⁷ cm³
C) 6.2 x 10⁻⁵ cm³
D) 6.2 x 10⁻²⁵ cm³

Answer :

Final answer:

The volume of a ground state hydrogen atom, given as 0.62 ų, can be converted to cm³ by cubing the conversion factor (1 Å=10⁻⁸ cm), and multiplying it by the volume. The result is 6.2 x 10⁻²⁵ cm³.

Explanation:

To convert the volume from angstroms cubed (ų) to centimeters cubed (cm³), you need to use the conversion factor between the two length units: 1 Å is 10⁻⁸ cm. Given the volume of a hydrogen atom is 0.62 ų, you first convert that to cm³ by cubing the conversion factor and then multiplying it by the volume:

Volume = (0.62) * (10⁻⁸ cm/Å)³ = 0.62 * 10⁻²⁴ cm³

So the correct answer is (D) 6.2 x 10⁻²⁵ cm³.

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