Question

Generally, sugar cubes are added to coffee. A typical sugar cube has an edge length of 1 cm. Minimum edge length of a cubical box containing 1 mole of sugar cube is

(a) 840 km

(b) 970 km

(c) 780 km

(d) 750 km

Answer 1

Edge length of the sugar cube is 1 cm.

Volume of the cube = 1 cm³ = 10^-6 m³

1 mole will contain 6.023$\times$10^-23 sugar cubes.

Volume of all these sugar cubes = 6.023$\times$10²³×10^-6 m³


This volume must be equal to the volume of the cubical box.
let L be the edge length of the box.

L³ = 6.023×10¹⁷ m³

L = 844 km $\approx$840 km

Hence option (a) is corect.