3. A Canadian penny contains 0.106 mol of copper. How many atoms of copper are in a Canadian penny?
4.Iron (II) oxide is used in mascara and eye shadow because it provides a brown colour to the product. “Pretty Eyes” mascara uses 0.15g of the Iron (II) oxide. Determine the number of “particles” (aka molecules) that would be present in the product.
5. Analysis of an ore of calcium shows that it contains 13.61g of calcium and 21.77g oxygen in a sample with a total mass of 46.28g. Calculate the mass percent of this compound.
6. Determine the % composition of Sodium Nitrate ?
Solution:
(1):
Molar mass of carbon (C) is 12.011 g/mol.
Hence,
(42.04 g C) × (1 mol C / 12.011 g C) = 3.50 mol C
Moles of carbon = 3.50 mol
(2):
One mole of any substance contains 6.022×1023 atoms/molecules.
Hence,
Number of Al(OH)3 molecules = (4.257 mol) × (6.022×1023 molecules / 1 mol) = 2.56×1024 molecules
Number of Al(OH)3 molecules = 2.56×1024 molecules
(3):
One mole of any substance contains 6.022×1023 atoms/molecules.
Hence,
Number of copper atoms = (0.106 mol) × (6.022×1023 atoms / 1 mol) = 6.38×1022 atoms
Number of copper atoms = 6.38×1022 atoms
(4):
Iron (II) oxide - FeO
The molar mass of FeO is 71.844 g/mol.
Hence,
(0.15 g FeO) × (1 mol FeO / 71.844 g FeO) = 0.002088 mol
One mole of any substance contains 6.022×1023 atoms/molecules.
Hence,
Number of FeO molecues = (0.002088 mol) × (6.022×1023 molecules / 1 mol) = 1.257×1021 molecules
Number of FeO molecues = 1.257×1021 molecules
(5):
%Ca = (Mass of Ca / Total mass of sample) × 100%
%Ca = (13.61 g / 46.28 g) × 100% = 29.41%
%Ca = 29.41%
%O = (Mass of O / Total mass of sample) × 100%
%O = (21.77 g / 46.28 g) × 100% = 47.04%
%O = 47.04%
(6):
Sodium nitrate - NaNO3
The molar mass of NaNO3 is 84.995 g/mol.
The molar mass of Na is 22.9898 g/mol.
The molar mass of N is 14.0067 g/mol.
The molar mass of O is 15.999 g/mol.
Hence,
%Na = (22.9898 / 84.995) × 100% = 27.05%
%N = (14.0067 / 84.995) × 100% = 16.48%
%O = (3×15.999 / 84.995) × 100% = 56.47%
%Na = 27.05%
%N = 16.48%
%O = 56.47%
Answers:
1) Moles of carbon = 3.50 mol;
2) Number of Al(OH)3 molecules = 2.56×1024 molecules;
3) Number of copper atoms = 6.38×1022 atoms;
4) Number of FeO molecues = 1.257×1021 molecules;
5) %Ca = 29.41%; %O = 47.04%;
6) %Na = 27.05%; %N = 16.48%; %O = 56.47%.
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