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Given density of the solution is 1.44 g/cm³.

Physics

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Answer

14.86 mol/L\text{14.86 mol/L}

Step-by-step solution

4 steps

Here's how to determine the concentration of the stock solution:

  1. Calculate the mass of 1 litre of the solution.

    Given density of the solution is 1.44 g/cm31.44 \, \text{g/cm}^3.
    Since 1 L=1000 cm31 \, \text{L} = 1000 \, \text{cm}^3:

    Mass of 1 L of solution=Density×Volume\text{Mass of 1 L of solution} = \text{Density} \times \text{Volume} Mass of 1 L of solution=1.44 g/cm3×1000 cm3=1440 g\text{Mass of 1 L of solution} = 1.44 \, \text{g/cm}^3 \times 1000 \, \text{cm}^3 = 1440 \, \text{g}
  2. Calculate the mass of pure nitric acid (HNO3_3) in 1 litre of the solution.

    The percentage purity is 65%65\%.

    Mass of pure HNO3=Mass of solution×Purity percentage\text{Mass of pure HNO}_3 = \text{Mass of solution} \times \text{Purity percentage} Mass of pure HNO3=1440 g×0.65=936 g\text{Mass of pure HNO}_3 = 1440 \, \text{g} \times 0.65 = 936 \, \text{g}
  3. Calculate the number of moles of pure nitric acid in 1 litre of the solution.

    The formula mass of HNO3_3 is 63 g/mole63 \, \text{g/mole}.

    Moles of HNO3=Mass of pure HNO3Formula mass\text{Moles of HNO}_3 = \frac{\text{Mass of pure HNO}_3}{\text{Formula mass}} Moles of HNO3=936 g63 g/mole≈14.857 moles\text{Moles of HNO}_3 = \frac{936 \, \text{g}}{63 \, \text{g/mole}} \approx 14.857 \, \text{moles}
  4. Determine the concentration in moles per litre.

    Concentration (Molarity) is the number of moles per litre of solution.

    Concentration=Moles of HNO3Volume of solution (L)\text{Concentration} = \frac{\text{Moles of HNO}_3}{\text{Volume of solution (L)}} Concentration=14.857 moles1 L≈14.86 mol/L\text{Concentration} = \frac{14.857 \, \text{moles}}{1 \, \text{L}} \approx 14.86 \, \text{mol/L}

    The concentration of the stock solution is approximately 14.86 mol/L\text{14.86 mol/L}.

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