By modelling solid gold as a regular cubic lattice of atoms, estimate the average spacing between adjacent gold atoms.
Density of gold, ρ=1.93×104 kg m−3 \text{Density of gold, } \rho = 1.93 \times 10^{4}\text{ kg m}^{-3} Density of gold, ρ=1.93×104 kg m−3 Molar mass of gold, M=197 g mol−1 \text{Molar mass of gold, } M = 197\text{ g mol}^{-1} Molar mass of gold, M=197 g mol−1 Avogadro constant, NA=6.02×1023 mol−1 \text{Avogadro constant, } N_A = 6.02 \times 10^{23}\text{ mol}^{-1} Avogadro constant, NA=6.02×1023 mol−11.6×10−10 m1.6 \times 10^{-10}\text{ m}1.6×10−10 m
2.6×10−10 m2.6 \times 10^{-10}\text{ m}2.6×10−10 m
2.6×10−9 m2.6 \times 10^{-9}\text{ m}2.6×10−9 m
4.1×10−15 m4.1 \times 10^{-15}\text{ m}4.1×10−15 m