Molarity

Chemistry Level 2

A solution of hydrochloric acid in water is 38.00% hydrochloric acid by mass. Its density is 1.1886 g cm − 3 ^{-3} . Calculate its molarity.

The molar mass of hydrochloric acid is 36.46094 g mol − 1 . ^{-1}.

6.19 M 6.19\text{ M} 8.05 M 8.05\text{ M} 12.39 M 12.39\text{ M} 16.10 M 16.10\text{ M}

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Krishna Singh by Krishna Singh , 22, India

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1 solution

Lu Chee Ket
Feb 15, 2016

Since specific amounts are not given but ratio, let's assume with 38 g of HCl:

H C l : 38 g HCl:~38~g or 38 g 36.46094 g / m o l ≈ 1.042211199 m o l \frac{38~g}{36.46094~g/ mol} \approx 1.042211199~mol

H C l + H 2 O : 100 g HCl + H_2O:~100~g or 100 g 1.1886 g / m l ≈ 84.13259297 m l \frac{100~g}{1.1886~g/ ml} \approx 84.13259297~ml

1.042211199 m o l 84.13259297 m l ≈ 12.38772231 m o l 1000 m l \frac{1.042211199~mol}{84.13259297~ml} \approx \frac{12.38772231~mol}{1000~ml}

Answer: 12.39 M \boxed{12.39~M}

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