In a titration of HNO₃, you add a few drops of phenolphthalein indicator to 50.00 mL of acid in a flask. You quickly add 20.00 mL of 0.0502 M NaOH but overshoot the end point, and the solution turns deep pink. Instead of starting over, you add 30.00 mL of the acid, and the solution turns colorless. Then, it takes 3.22 mL of the NaOH to reach the end point. (a) What is the concentration of the HNO₃ solution?



Answer :

The HNO₃ solution has a concentration of 0.07 M.

What is titration?

  • Titration is a common quantitative chemical analysis laboratory method for determining the concentration of an identified analyte.
  • The titrant or titrator is a reagent that is prepared as a standard solution of known concentration and volume.

To find the concentration of the HNO₃ solution:

Step 1: Find a balanced equation:

  • HNO₃ (aq) + NaOH (aq) → NaNO₃ (aq) + H₂O (l)

For 1 mole of HNO₃ reacted, there will also react 1 mole of NaOH, and be produced 1 mole of NaNO₃ and 1 mole of H₂O since the ratio is 1:1.

Step 2: Calculating moles:

Since we know that for 1 mole of HNO₃ there will react 1 mole of NaOH, we can calculate the number of mole NaOH.

  • Concentration = mole / volume
  • 0.210 = mole / ((20 + 7.23 ml) × 10⁻³)
  • mole = 0.005733 mole NaOH  = 0.005733 mole HNO₃

Step 3: Calculating the concentration of HNO₃:

  • Concentration = mole / volume
  • C(HNO₃) = 0.005733 mole / ((50 + 30 ml) × 10⁻³)
  • C(HNO₃) = 0.07 M

Therefore, the HNO₃ solution has a concentration of 0.07 M.

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The correct question is given below:

In a titration of hno3, you add a few drops of phenolphthalein indicator to 50.00 ml of acid in a flask. You quickly add 20.00 ml of 0.210 m naoh but overshoot the end point, and the solution turns deep pink. Instead of starting over, you add 30.00 ml of the acid, and the solution turns colorless. Then, it takes 7.23 ml of the naoh to reach the end point. What is the concentration of the hno3 solution