6.02×1023 atoms of gold =193×10−3kg
mass of one atom of gold =6.02×1023193×10−3
=32.06×10−26kg
Volume of one atom of gold :
V=DensityofgoldMassofoneatomofgoldV=1970032.06×10−26=1.63×10−29m3
Assumption: gold atom is spherical.
Volume of one atom of gold =34πR3
R= radius of atom of gold
V=34πR3R=(4π3V)31R=(4×3.143×1.63×10−29)31R=(0.3889×10−29)31R=1.57×10−10m
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