Answer:
55.16 gram of gold contain same number of atoms as 7.72 g Al contain.
Explanation:
Given data:
Mass of Al = 7.72 g
Mass of gold contain same number of atoms as 7.72 g Al contain = ?
Solution:
First of all we will determine the atoms of Al in 7.72 g.
Number of moles = mass/ molar mass
Number of moles = 7.72 g / 27 g/mol
Number of moles = 0.286 mol
Number of atoms:
0.286 mol × 6.022 ×10²³ atoms / 1 mol
1.72 ×10²³ atoms
Now we determine the mass of gold that contain 1.72 ×10²³ atoms:
1 mol = 6.022 ×10²³ atoms
1.72 ×10²³ atoms× 1 mol / 6.022 ×10²³ atoms = 0.28 mol
Mass of gold = number of moles × molar mass
Mass of gold =0.28 mol × 197 g/mol
Mass of gold = 55.16 g
