The density of gold is

PHYSICS · Multi-part · CBSE · Physics · Kinetic Theory · Kinetic Theory

Problem

The density of gold is 19 300 kg m−319\,300\text{ kg m}^{-3}, and its molar mass is 197 g mol−1197\text{ g mol}^{-1}. The density of copper is 8960 kg m−38960\text{ kg m}^{-3}, and its molar mass is 63.5 g mol−163.5\text{ g mol}^{-1}. (1) (a) (i) Calculate the number of moles of gold in 1 m31\text{ m}^3 of gold. (ii) Hence, calculate the volume taken up by one atom of gold. (2) (b) (i) Calculate the number of moles of copper in 1 m31\text{ m}^3 of copper. (ii) Hence, calculate the volume taken up by one atom of copper. (3) (c) If we model an atom as a cube, comment on the relative size of atoms of gold and copper.

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