a coating of Cobalt that is 0.005 CM thick is deposited on a plate that is 0.5 metre square in total area how many atoms of Cobalt not deposited on the plate if density of Cobalt is equal to 8.9 gram per centimetre cube and atomic mass of Cobalt is equal to 59 atomic mass unit
Answers
volume of cobalt coating on the plate , V = area × thickness
= 0.5 m² × 0.005 cm
= 0.5 × (100)² cm² × 5 × 10^-3 cm
= 25 cm³
now, mass of cobalt used in coating = density of cobalt × volume of cobalt coating on the plate
= 8.9 g/cm³ × 25cm³
= 222.5 g
molecular weight of cobalt = 59g/mol
so, number of mole of cobalt deposited on the plate = 222.5/59 = 3.77
so, number of cobalt atoms deposited on the plate = 3.77 × 6.023 × 10²³
= 22.7 × 10²³
= 2.27 × 10²⁴
hence, answer is 2.27 × 10²⁴
Answer:
2.27 × 10²⁴ atoms
Explanation:
Volume of cobalt coating on the plate , V = area × thickness
= 0.5 m² × 0.005 cm
= 0.5 × (100)² cm² × 5 × 10^-3 cm
= 25 cm³
now, mass of cobalt used in coating = density of cobalt × volume of cobalt coating on the plate
= 8.9 g/cm³ × 25cm³
= 222.5 g
molecular weight of cobalt = 59g/mol
so, number of mole of cobalt deposited on the plate = 222.5/59 = 3.77
so, number of cobalt atoms deposited on the plate = 3.77 × 6.023 × 10²³
= 22.7 × 10²³
= 2.27 × 10²⁴
hence, answer is 2.27 × 10²⁴ atoms