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The concentrated nitric acid used in laboratory work is 68% nitric acid by mass in an aqueous solution. What should be the molarity of such a sample of the acid if the density of the solution is 1.504 g mL^-1?

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The concentrated nitric acid used in laboratory work is 68% nitric acid by mass in an aqueous solution. What should be the molarity of such a sample of the acid if the density of the solution is 1.504 g mL-1?

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Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in an aqueous solution. This means that 68 g of nitric acid is dissolved in 100 g of the solution.

Molar mass of nitric acid (HNO3) = 1 × 1 + 1 × 14 + 3 × 16 = 63 g mol-1

Then, number of moles of HNO3 = \(\frac{68}{63}\)mol

= 1.079 mol

Given,

Density of solution = 1.504 g mL-1

∴ Volume of 100 g solution = \(\frac{100}{1.504}\)mL

= 66.49 mL

= 66.49 x 10-3L

Molarity of solution = \(\frac{1.079\;mol}{66.49 \times 10^{-3}L}\)

= 16.23 M

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