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Question: How many grams are in \(4.500\) moles of \(L{i_2}O\) ?...

How many grams are in 4.5004.500 moles of Li2OL{i_2}O ?

Explanation

Solution

We must know the molecular mass of the given compound. Molecular mass is calculated as the sum of the atomic weights of each individual element constituting a molecule. For example, the molecular weight of water which has two atoms of hydrogen and one atom of oxygen has a molecular weight of 1818 since the atomic weight of each hydrogen is 11 and that of oxygen is 1616. Multiplying this molecular mass by the given number of moles will give the weight in grams of the substance.

Complete step by step answer:
The given molecule is Li2OL{i_2}O . We can get the atomic mass of the constituent elements of Li2OL{i_2}O from the periodic table. The elements are Lithium, LiLi and oxygen OO. The atomic mass of Lithium is 6.49g/mol6.49g/mol and that of oxygen is 15.99g/mol15.99g/mol . Therefore, the molecular mass of Li2OL{i_2}O is as follows:
Since there are two molecules of lithium, therefore the mass is 2×2 \times 2×6.49=13.882g/mol2 \times 6.49 = 13.882g/mol
There is one molecule of oxygen whose mass is 15.99g/mol15.99g/mol . Hence the total molecular mass is 13.882+15.99=29.881g/mol13.882 + 15.99 = 29.881g/mol

Therefore 4.5004.500 moles Li2O=29.881g/mol×4.500moles=134.46gramsL{i_2}O = 29.881g/mol \times 4.500moles = 134.46grams.

Note: It must be noted that the rules given above for the molecular mass of a compound is applicable only for molecules non-ionic compounds only which carry no charge. Also, there are different names for molecular mass of a compound. The name may be molar mass, molecular weight, gram formula mass, etc but they all account for the mass of one mole of a substance in grams per mole. It must also be noted that sometimes the atomic masses of the elements are not given but we can obtain them from the periodic table.