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Question : 16
Total: 33
The unit of length convenient on the atomic scale is known as an angstrom and is denoted by
0
A
:1
0
A
 = 10‌–10 m. The size of a hydrogen atom is about 0.5
0
A
 . What is the total atomic volume in m‌3 of a mole of hydrogen atoms?
Solution:  
Here, r=0.5
0
A
=0.5×10−10 m
V1= Volume of each hydrogen atom
=
4
3
πr3
=
4
3
×3.14×(0.5×10−10 )3
=5.233×10−31 m3
According to Avogadro’s hypothesis, one mole of hydrogen contains:
N=6.023×1023 atoms
∴ Atomic volume of 1 mole of hydrogen atoms,
V=NV1
or V=6.023×1023×5.233×10−31
=3.152×10−7 m3≅3×10−7 m3
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