Zadanie 6b

7 pktobliczenioweśrednie (szac.)Paper 2, maj 2023, TZ1

Wzorowane na: Chemistry SL Paper 2, May 2023, TZ1, pytanie 6(b). Treść, dane i kontekst są zmienione; sprawdzane umiejętności, format i punktacja jak w oryginale.

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Polecenie

The enthalpy change of combustion of ethanol was investigated in a school laboratory. A spirit burner containing ethanol was used to heat water in a metal can.

apparatus with a metal can of water and a thermometer, heated from below by a spirit burner containing ethanol

A total of 0.0250 mol of ethanol was burned. The following data were recorded.

QuantityValue
Mass of water / g ±0.01100.00
Initial temperature of water / °C ±0.520.0
Final temperature of water / °C ±0.550.0

(i) Calculate the enthalpy of combustion of ethanol, ΔHc, in kJ mol−1, from this data. Use sections 1 and 2 of the data booklet.

(ii) Suggest the major source of systematic error in this experiment and an improvement to reduce this error.

(iii) Calculate the percentage uncertainty in the temperature change to two significant figures.

(iv) Suggest one way of reducing the percentage uncertainty in this experiment.

(v) Calculate the overall percentage error of this experiment. Use your answer to part (i) and section 14 of the data booklet. (If you did not obtain an answer to part (i), use −400 kJ mol−1, but this is not the correct value.)

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(i) «Q = mcΔT = 100.00 g × 4.18 J g−1 K−1 × 30.0 K =» 12 540 J ✔

«ΔHc=−12.54 kJ0.0250 mol=\Delta H_c = -\dfrac{12.54\ \mathrm{kJ}}{0.0250\ \mathrm{mol}} =» −502 kJ mol−1 ✔

(ii) Source of systematic error: heat loss «to the surroundings, the can and the air» ✔

Improvement: insulate the can / put a lid on the can / use a draught shield around the apparatus

OR use a calibrated (bomb) calorimeter ✔

(iii) «0.5+0.530.0×100=\dfrac{0.5 + 0.5}{30.0} \times 100 =» 3.3 % ✔

(iv) use a thermometer with smaller scale divisions «a smaller uncertainty»

OR use a smaller mass of water / burn more ethanol so that the temperature change is larger

OR use a more precise balance ✔

(v) «∣−1367−(−502)∣1367×100=\dfrac{|-1367 - (-502)|}{1367} \times 100 =» 63.3 % ✔

Alternative with the given −400 kJ mol−1: «(1367 − 400)/1367 × 100 =» 70.7 %

Schemat punktowania

(i) [2]: award [1 max] for +502 kJ mol−1; award [2] for the correct final answer with sign. (ii) [2]: M1 the source (heat loss), M2 an improvement that addresses it. (iii) [1]: accept 2.4 % if the uncertainties are combined as 0.52+0.52/30.0×100\sqrt{0.5^2 + 0.5^2}/30.0 \times 100. Do not award for 3.33 without rounding to two significant figures. (iv) [1]: do not accept more repetitions. (v) [1]: ECF from (i).

Komentarz

The experimental value is only about a third of the data booklet value; the large percentage error comes from heat lost to the surroundings and from incomplete combustion, not from the uncertainties in (iii).

Umiejętności w zadaniu

Źródło: Chemistry SL Paper 2, May 2023, TZ1