A student performed a titration to find the concentration of a solution of calcium hydroxide, Ca(OH)2\text{Ca(OH)}_2Ca(OH)2, using hydrochloric acid, HCl\text{HCl}HCl, of known concentration.
The student repeated the titration of calcium hydroxide solution with the hydrochloric acid and recorded these results:
| Run | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Burette reading after adding acid / cm3\text{cm}^3cm3 | 26.50 | 25.80 | 25.35 | 26.25 |
| Burette reading before adding acid / cm3\text{cm}^3cm3 | 1.30 | 1.70 | 0.90 | 1.70 |
| Volume of acid added / cm3\text{cm}^3cm3 | 25.20 | 24.10 | 24.45 | 24.55 |
The average (mean) volume of acid should be calculated using only concordant results. Concordant results are those volumes that differ from each other by 0.20 cm30.20\text{ cm}^30.20 cm3 or less.
Identify the concordant results by stating which runs should be selected.
Calculate the average (mean) volume of acid added using your selected results.
The student used the same method to find the concentration of another calcium hydroxide solution. The equation for the reaction is:
Ca(OH)2+2HCl→CaCl2+2H2O \text{Ca(OH)}_2 + 2\text{HCl} \rightarrow \text{CaCl}_2 + 2\text{H}_2\text{O} Ca(OH)2+2HCl→CaCl2+2H2OThese are the student's experimental results:
The student used these results to calculate the concentration of the calcium hydroxide solution:
There is one mistake in each step of the calculation. What correction should the student make in:
Step 1?
Step 2?
Step 3?