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Q.

The unit of length convenient on the atomic scale is known as an angstrom and is denoted by A0.  1  A0=1010  m.The size of the hydrogen atom is about  0.5  A0.  The total atomic volume in m3 of a mole of hydrogen atoms would be

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a

3.0×108  m3

b

3.85×107  m3

c

2.85×107  m3

d

3.15×107  m3

answer is A.

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Detailed Solution

Radius of hydrogen atom (r)=0.5  A0=0.5×1010m

Volume of each hydrogen atom (V)=43πr3

=43×3.14×(0.5×1010)3

=5.234×1031  m3

Number of atoms in one mole of hydrogen = Avogadro number (N)
=6.023×1023

Atomic volume of 1 mole of hydrogen atoms (V')

= Volume of a hydrogen atom ×Number of atoms

V'=V×N

5.236×1031×6.023×1023  m3

=3.152×107m3

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