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 m 3 of a mole of hydrogen atoms ?

Radius of hydrogen atom, r = 0.5 = 0.5 × 10^–10 m

$Volume space of space hydrogena space atom space equals space 4 over 3 πr cubed space equals 4 over 3 cross times 22 over 7 cross times left parenthesis 0.5 cross times 10 to the power of negative 10 end exponent right parenthesis cubed space equals space 0.524 space cross times space 10 to the power of negative 30 end exponent space straight m cubed space 1 space mole space of space hydrogen space equals space 6.023 space cross times space 10 to the power of 23 space atoms space of space hydrogen therefore space Volume space of space 1 space mole space of space hydrogen space atom space equals space space 6.023 space cross times space 10 to the power of 23 space cross times 0.524 space cross times 10 to the power of negative 30 end exponent equals space 3.16 space cross times space 10 to the power of negative 7 end exponent space straight m cubed$

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The unit of length convenient on the atomic scale is known as an angstrom and isdenoted by Å: 1 Å = 10–10 m. The size of a hydrogen atom is about 0.5 Å. What is thetotal atomic volume in m 3 of a mole of hydrogen atoms ?

Units and Measurement

Physics Part I

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 m 3 of a mole of hydrogen atoms ?