A mole is a counting unit referring to the number of atoms, molecules, ions, or formula units that exist in any given chemical compound. For comparison, the other counting units are a pair (2) and dozen (12). Any compound has, one mole equals Avogadro's number, which is 6.02214076 × 1023 mol, of molecules or formula units. The molar mass of a compound is the mass of 1 mole of that particular substance and the number of grams per mole of a compound. Or, in other words, the molar mass is the total mass of all the atoms in grams that make a mole of a particular molecule. Hence, grams/mole is the units of molar mass.
The molar mass of a chemical can be determined in more than one ways:
Step 1: Calculate the number of atoms of each element by the formula to obtain its chemical formula.
Step 2: Multiply the atomic weight of the element with its number of atoms present in the compound.
Step 3: Sum them and assign the unit as grams/mole.
Example 1: What is the molar mass of sodium carbonate,?
Solution: As sodium carbonate contains two atoms sodium, one atom of carbon and three atoms of oxygen. The molecular weight would be,
Na : 2 x 23.0 = 46
C : 1 x 12.0 = 12
O : 3 x 16 = 48
When we add up the total values i.e, 46 + 12 + 48 = 106
Therefore, the molar mass of is 106 g/mole.
Example 2: Give the molar mass of calcium nitrate?
Solution: As calcium nitrate contains one atom of calcium, two atoms of nitrogen and six atoms of oxygen.
Ca: 1 x 40.1 = 40
N: 2 x 14.0 = 28
O: 6 x 16.0 = 96
If we add all, 40.1 + 14 + 16 = 164.1
Therefore, the molar mass of i s 164.1 g/mol.
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Formula: Ptolemy’s Theorem relates the sides and diagonals of a cyclic quadrilateral. For a cyclic quadrilateral ABCD with diagonals AC and BD, the theorem states:
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