Question 113 marks
Question
In this experiment you will determine the enthalpy change, ∆Hr , for the reaction shown. NaOH(aq) + CO2(g) NaHCO3(aq) enthalpy change = ΔHr You will react each of sodium hydroxide and sodium hydrogencarbonate with excess dilute sulfuric acid. You will determine the enthalpy change for each reaction, then use Hess’s law to calculate ΔHr . (a) Reaction of sodium hydroxide with sulfuric acid 2NaOH(aq) + H2SO4(aq) Na2SO4(aq) + 2H2O(l) enthalpy change = ΔH1 FA 1 is 2.00 mol dm–3 sodium hydroxide, NaOH. FA 2 is 2.00 mol dm–3 sulfuric acid, H2SO4. Method ● Support a cup in the 250 cm3 beaker. ● Use the 50 cm3 measuring cylinder to transfer 30.0 cm3 of FA 1 into the cup. ● Place the thermometer in FA 1 and tilt the cup, if necessary, so that the bulb of the thermometer is fully covered. Record the temperature of FA 1. ● Use the 25 cm3 measuring cylinder to add 20.0 cm3 of FA 2 to the FA 1 in the cup. ● Stir the mixture. ● Measure and record the maximum temperature reached. ● Calculate and record the change in temperature. Results I II [2] (b) Calculations (i) Calculate the energy change, in J, in your experiment. energy change = …… J [1] (ii) Calculate the amount, in mol, of sulfuric acid that reacted with FA 1 in your experiment. amount of H2SO4 = …… mol [1] (iii) Calculate the enthalpy change of reaction, ΔH1, in kJ mol–1 of sulfuric acid, for the neutralisation of NaOH(aq) with H2SO4(aq). Show your working. ΔH1 = …… …… kJ mol–1 of H2SO4 [1] sign value (c) Reaction of sodium hydrogencarbonate with sulfuric acid 2NaHCO3(s) + H2SO4(aq) Na2SO4(aq) + 2H2O(l) + 2CO2(g) enthalpy change = ΔH2 FA 2 is 2.00 mol dm–3 sulfuric acid, H2SO4. FA 3 is sodium hydrogencarbonate, NaHCO3. Method ● Support the other cup in the 250 cm3 beaker. ● Use the 25 cm3 measuring cylinder to transfer 25.0 cm3 of FA 2 into the cup. ● Place the thermometer in FA 2 and tilt the cup, if necessary, so that the bulb of the thermometer is fully covered. Record the temperature of FA 2. ● Weigh the container with FA 3. Record the mass. ● Adding small quantities at a time, tip all the FA 3 from the container into the FA 2 in the cup. ● Stir the mixture. ● Measure and record the minimum temperature reached. ● Calculate and record the change in temperature. ● Weigh the container with any residual FA 3. Record the mass. ● Calculate and record the mass of FA 3 added. Results I II III [3] (d) Calculations Use your data to calculate the enthalpy change, ΔH2, in kJ mol–1 of sulfuric acid, for the reaction of NaHCO3(s) with H2SO4(aq). Show your working. ΔH2 = …… …… kJ mol–1 of H2SO4 [3] sign value (e) The enthalpy change when one mole of sodium hydrogencarbonate dissolves in water is ΔH3. NaHCO3(s) + aq NaHCO3(aq) enthalpy change = ΔH3 Using the symbols ΔH1, ΔH2 and ΔH3 in your answer, use Hess’s law to deduce an expression for ΔHr . NaOH(aq) + CO2(g) NaHCO3(aq) enthalpy change = ΔHr ∆Hr = …… kJ mol–1 [1] (f) A student suggested that the experiment in (c) would be more accurate if 25.0 cm3 of 3.00 mol dm–3 sulfuric acid was used instead of 25.0 cm3 of 2.00 mol dm–3 sulfuric acid. State whether the student’s suggestion is correct. Explain your answer. …… [1] [Total: 13]
Mark scheme
1(a) I Three pieces of data shown 2 Two thermometer readings recorded AND temperature rise correctly calculated, all listed in the space provided, with units. ‘Correct’ headings are not required for this mark, but it must be clear what the three figures refer to. Ignore precision of readings (but see II of 1(c)(i)). Do not award if either thermometer reading is below 10 °C. Temperature units: / °C OR in °C OR (°C) OR °C by every reading. Accuracy mark Calculate the difference δ between temperature rises for supervisor and candidate. Supervisor value ⩾ 10 °C, award mark II if δ⩽ 1.5 °C. Supervisor value ⩾ 5 °C and < 10 °C, award mark II if δ⩽ 1.0 °C. Supervisor value < 5 °C, award mark II if δ⩽ 0.5 °C. 1(b)(i) correctly calculates energy released 1 energy = 50 × 4.18 × temp rise (J) AND answer given to 2–4 significant figures 1(b)(ii) amount H2SO4 used = (0.030 × 2 × 0.5) = 0.03(000) (mol) 1 1(b)(iii) correct use of data to calculate ΔH1 1 energy ΔH1 = /1000 × (b)(ii) AND answer must have negative sign AND be expressed to 2–4 significant figures 1(c) I Six correct headings shown, with units, in list / table 3 (mass of) container + FA 3 / solid / NaHCO3 (mass of) container (empty or with residual FA 3) (mass of) FA 3 / solid / NaHCO3 OR mass used initial temperature / thermometer reading lowest / minimum / final temperature / thermometer reading temperature change/decrease Mass units: / g OR in g OR (g) OR g by every reading Temperature units: / °C OR in °C OR (°C) OR °C by every reading II All readings shown to appropriate precision all four balance / thermometer readings shown all four thermometer readings [including those in 1(a)] to .0 or .5 both masses to 2 decimal places OR both masses to 3 decimal places III Subtractions correct mass of solid correct AND between 5.00–7.00 g temperature fall correct AND between 8.0–12.0 °C 1(d) Correct use of data 3 expressions for M1 and M2 need not be evaluated to score M1 energy = 25 × 4.18 × temp decrease M2 amount of H2SO4 used = 0.5 × mass NaHCO3 used/84 (mol) M3 enthalpy change = energy / amount of H2SO4 used × 1000 AND answer has positive sign AND expressed to two or more significant figures 1(e) ΔHr = 0.5 ΔH1 – 0.5 ΔH2 + ΔH3 1 1(f) (student is not correct) because acid is used in excess (in candidate’s experiment (c)) (so temperature fall is unchanged) 1