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Question: What is the molar mass of \[C{a_3}{(P{O_4})_2}\]? (A) 310 g/mol (B) 154 g/mol (C) 67 g/mol (...

What is the molar mass of Ca3(PO4)2C{a_3}{(P{O_4})_2}?
(A) 310 g/mol
(B) 154 g/mol
(C) 67 g/mol
(D) 83 g/mol
(E) 115 g/mol

Explanation

Solution

In order to find the Molar mass of Ca3(PO4)2C{a_3}{(P{O_4})_2} we must calculate the molar mass by multiplying number of moles present in an atom and mass of the atom in a molecule and later adding these values. Molar mass is also known as Molecular weight.

Complete step by step answer:
Molar mass is defined as the mass of one mole of the substance. It can also be called as the molecular weight. Its SI unit is g/mol. It’s quite different from molecular mass.
Various steps to be followed in order to find the molar mass. They are:
- Identify the formula of the given compound.
- Calculate the number of moles of atoms present in the given compound.
- Multiply the mass of the atom with the number of moles of the atom.
- This must be done for every element present in the compound. Later, these values are added.
- The obtained value is expressed in the unit g/mol.
In the compound Ca3(PO4)2C{a_3}{(P{O_4})_2}, there are three elements namely Calcium, Phosphorus and Oxygen. Ca3(PO4)2C{a_3}{(P{O_4})_2} contains 3 moles of Ca, 2 moles of Phosphorus and 8 moles of oxygen.
Mass of Ca3(PO4)2=(3×atomic mass of Ca) + (2×atomic mass of P) + (8×atomic mass of O)Mass{\text{ of }}C{a_3}{(P{O_4})_2} = (3 \times {\text{atomic mass of Ca) + (2}} \times {\text{atomic mass of P) + (8}} \times {\text{atomic mass of O)}}
=(3×40.08)+(2×30.47)+(8×16.00)= (3 \times 40.08) + (2 \times 30.47) + (8 \times 16.00)
=120.24+61.94+128= 120.24 + 61.94 + 128
=310.18g/mol= 310.18g/mol
So the correct answer is “A”:

Additional Information:
- Ca3(PO4)2C{a_3}{(P{O_4})_2} is called Calcium phosphate.
- It appears as white crystalline or amorphous powder which is tasteless and odourless.
- It is soluble in nitric and hydrochloric acid but only slightly soluble in water.
- It is used in antacid, dietary supplements, production of fertilisers, manufacture of luminescent materials etc.

Note: Molar mass is quite different from molecular mass. Their difference is given below

MOLAR MASSMOLECULAR MASS
Ii is the mass of one mole of a substance.It is the mass of the molecule.
It is expressed in g/mol.It is expressed as amu.
It is also known as the molecular weight.It determines the mass of the single molecule.