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Solution Stoichiometry (Lecture 2). Mass concentration; Dilution; and volumetric analysis. What will I learn?. What is mass concentration? (and how is it related to molar concentration?) What is dilution? What is volumetric analysis? (or titration?)
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Solution Stoichiometry(Lecture 2) Mass concentration; Dilution; and volumetric analysis
What will I learn? • What is mass concentration?(and how is it related to molar concentration?) • What is dilution? • What is volumetric analysis? (or titration?) • How to calculate an unknown concentration in a volumetric analysis problem?
Other Concentration Units • Sometimes, concentration can be expressed in mass per unit volume
Other Concentration Units • Sometimes, concentration can be expressed in mass per unit volume • Units: gdm-3
Other Concentration Units • Sometimes, concentration can be expressed in mass per unit volume • Concentration (in gdm-3) can be converted to molar concentration via the equation:
Example 1 • 2.00 g of NaOH is dissolved in water to give a final volume of 150.0 cm3. • Calculate the concentration (in gdm-3) of the NaOH solution formed
Example 1 • 2.00 g of NaOH is dissolved in water to give a final volume of 150.0 cm3. • Calculate the concentration (in moldm-3) of the solution above
Example 1 • 2.00 g of NaOH is dissolved in water to give a final volume of 150.0 cm3. • Calculate the concentration (in moldm-3) of the solution above
Example 1 • 2.00 g of NaOH is dissolved in water to give a final volume of 150.0 cm3. • Calculate the concentration (in moldm-3) of the solution above
Example 1 • 2.00 g of NaOH is dissolved in water to give a final volume of 150.0 cm3. • Calculate the concentration (in moldm-3) of the solution above
4 Dilution • Dilution is the process of adding more solvent to a solution Remains constant decreases increases
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution. Rearranging,
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution.
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution.
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution.
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution.
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution.
Example 1 • 10.0 cm3 of a NaOH solution of concentration 1.500 moldm-3 was diluted to 250 cm3 using distilled water. Calculate the concentration of NaOH after dilution.
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution? Rearranging,
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
Example 2 • A concentrated solution of H2SO4 has a concentration of 3.35 moldm-3. What volume of this acid is required to prepare 250.0 cm3 of 0.130 moldm-3 H2SO4 solution?
5 Dilution • Useful formulae for dilution:
Dilution • Useful formulae for dilution:
Volumetric analysis • A quantitative analysis (vs qualitative analysis) • Analysis => calculation / manipulation of the results to obtain meaningful data • Volumetric analysis => accurate measurement of volume is required
Volumetric analysis • End point is the point in the titration when the indicator undergoes a sharp colour change. • Equivalence point is the point when stoichiometric amounts / volume of reactants have been mixed • The two points are not the same • However, an ideal indicator is one where the equivalence point and end point is very close to each other • (and a sharp colour change occurs when a small extra amount of reactant has been added)
6 Calculations in VA • Similar to that encountered before (in normal stoichiometry calculations) • Difference: concentration and reacting volumes are now involved
Number of moles Titration volume mass (m) number of moles (n) number of particles (N) volume (V)
Calculations in VA • Given: since
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation Given c and V c?? Given V
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation From equation:
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation ALTERNATIVELY…
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation
Example 120.0 cm3 of a solution of barium hydroxide, Ba(OH)2, of unknown concentration was placed in a conical flask and titrated with a solution of hydrochloric acid which had a concentration of 0.0600 moldm-3. The volume of the acid required was 25.0 cm3. Calculate the molar concentration of the barium hydroxide. Balanced equation