What is the molarity of a phosphoric acid solution if it contains 30.0% phosphoric acid by..?

What is the molarity of a phosphoric acid solution if it contains 30.0% phosphoric acid by mass and has a specific gravity of 1.806?

A) 2.59 M
B) 3.61 M
C) 3.06 M
D) 5.53 M
E) 6.50 M

Answer:
(D)

Let us consider that the volume of the solution is 1 liter.

So, the mass of the solution = 1.806 kg (from the density)
Among this 30% mass is that of phosphoric acid (H3PO4) = 541.8 grams

The molecular mass of phosphoric acid is 98 grams/mole
The number of moles of phosphoric acid in the solution = 541.8/98 = 5.52857 moles = 5.53 moles

1 liter of the solution contains 5.53 moles
So, the molarity is 5.53 M

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