Equipment used to measure volumes precisely in titrations
The steps in a titration
Example 1: Calculations from titration resultsIn a titration, 25.00 cm3?of 0.05 mol dm-3?hydrochloric acid was neutralised by 8.50 cm3?of sodium hydroxide solution. Calculate the concentration of the sodium hydroxide solution.
Answer
Step 1:?Find the number of moles of acid
moles of acid = concentration x volume in dm3
moles of acid = 0.05 x 25/1000 = 1.25 x 10-3?mol
Step 2:?Deduce the number of moles of alkali
The equation for the reaction shows the mole ratio is 1:1
HCl?(aq) + NaOH (aq)??→?NaCl?(aq) + H2O (l)
∴ moles of alkali? = 1.25 x 10-3?mol
Step 3:?Work out the concentration of the alkali
concentration = moles/volume in dm3
concentration = 1.25 x 10-3/0.0085 =?0.15 mol dm-3
Example 2: Calculating the pH in a strong acid-strong base titration50.0 cm3?of 0.10 mol dm3?NaOH is gradually added to 25.0 cm3?of 0.15 mol dm3?hydrochloric acid. Determine the pH after 45 cm3?of NaOH has been added. (Kw?= 1 x 10-14?mol2?dm-6?at 298 K)
Answer
Step 1:?Find the number of moles of acid
moles of acid = concentration x volume in dm3
moles of acid = 0.15 x 25/1000 =?3.75 x 10-3?mol
Step 2:?Deduce the number of moles of alkali added
The equation for the reaction shows the mole ratio is 1:1
HCl?(aq) + NaOH (aq)??→?NaCl?(aq) + H2O (l)
moles of alkali added = 0.10 x 45/1000 =? 4.50 x 10-3?mol
∴ moles of alkali in excess = (4.50 x 10-3- 3.75 x 10-3) =?7.5 x 10-4?mol
Step 3:?Work out the concentration of the alkali
concentration = moles/volume in dm3
concentration = 7.5 x 10-4/0.070 =?0.0107 mol dm-3
Step 4:?Use?Kw?to find the concentration of H+
Kw?= [H+][OH-]
[H+] =?Kw?/[OH-] = 1.00 x 10-14/0.0107 =?9.35 x 10-13
Step 5:?Find the pH
-log[H+] = -log(9.35 x 10-13)
pH =?12.03
You will be asked to perform calculations only on monoprotic acids. A monoprotic acid has only one acidic hydrogen, like HCl. Sulfuric acid, H2SO4, is a diprotic acid.
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