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1 In this experiment you are to determine x in the formula of hydrated sodium carbonate, Na2CO3.xH2O, by titration - CIE - A-Level Chemistry - Question 1 - 2014 - Paper 1

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1 In this experiment you are to determine x in the formula of hydrated sodium carbonate, Na2CO3.xH2O, by titration. FA 1 is aqueous sodium carbonate, Na2CO3, contai... show full transcript

Worked Solution & Example Answer:1 In this experiment you are to determine x in the formula of hydrated sodium carbonate, Na2CO3.xH2O, by titration - CIE - A-Level Chemistry - Question 1 - 2014 - Paper 1

Step 1

Diluting the solution of FA 1

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Answer

  1. Measure 25.0 cm³ of FA 1 using a pipette and transfer it to a 250 cm³ volumetric flask.
  2. Add distilled water to make the solution reach the mark on the flask.
  3. Thoroughly mix the solution to ensure complete dissolution.

Step 2

Titration

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  1. Pipette 25.0 cm³ of FA 3 (diluted sodium carbonate) into a conical flask.
  2. Fill the burette with FA 2 (0.110 mol dm⁻³ HNO₃).
  3. Add a few drops of methyl orange indicator to the conical flask.
  4. Conduct a rough titration to estimate the endpoint and record the rough titre value.
  5. Perform multiple accurate titrations, recording all burette readings for each titration.

Step 3

From your accurate titration results, obtain a suitable value to be used in your calculations. Show clearly how you have obtained this value.

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  1. Calculate the mean of all accurate titrations, ensuring that the total spread is within ±0.20 cm³.
  2. If the best titres are 26.5 cm³, 26.6 cm³, and 26.4 cm³, then the mean titre is (26.5 + 26.6 + 26.4) / 3 = 26.5 cm³.

Step 4

Calculate the moles of nitric acid in the volume of FA 2 calculated in (b).

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  1. Use the following formula: [ \text{moles of HNO}_3 = \frac{\text{concentration (mol dm}^{-3}) \times , \text{volume (cm}^3)}{1000} ] 2. If the mean titre is 26.5 cm³ then: [ \text{moles of HNO}_3 = \frac{0.110 \times 26.5}{1000} = 0.002915 \text{ mol} ]

Step 5

Complete the equation below and include the missing state symbols.

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The balanced equation for the reaction is: [ \text{Na}_2\text{CO}_3(aq) + 2\text{HNO}_3(aq) \rightarrow 2\text{NaNO}_3(aq) + \text{CO}_2(g) + \text{H}_2\text{O}(l) ]

Step 6

Calculate the number of moles of sodium carbonate in 25.0 cm^3 of solution FA 3.

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  1. Use the mole ratio from the balanced equation: 2 moles of Na2CO3 react with 2 moles of HNO3. Therefore: [ \text{moles of Na}_2\text{CO}_3 = \text{moles of HNO}_3 = 0.002915 ext{ mol} ]

Step 7

Calculate the number of moles of sodium carbonate in 250.0 cm^3 of solution FA 3.

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Answer

  1. Since the first calculation was for 25.0 cm³, multiply the moles by 10 for 250.0 cm³: [ \text{moles of Na}_2\text{CO}_3 = 0.002915 \times 10 = 0.02915 ext{ mol} ]

Step 8

Use the information on page 2 and your answer to (iv) to calculate the relative formula mass, Mr, of hydrated sodium carbonate, Na2CO3.xH2O.

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Answer

  1. Calculate the relative formula mass: [ M_r = 150.0 + (x \times 18) ] Using the previously calculated moles, if you have 0.02915 moles, then multiply by the amount per mol to get: [ M_r = \frac{150.0}{0.02915} = 5130.2232 ext{ g/mol} ]

Step 9

Calculate the value of x in Na2CO3.xH2O. Give your answer to the nearest whole number.

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Answer

  1. Rearranging the formula gives: [ x = \frac{M_r - 150.0}{18} = \frac{5130.2232 - 150.0}{18} = 275.5 \approx 276 ]

Step 10

State the maximum error in any single reading of the burette.

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Answer

  1. Given the precision of the burette, the maximum error is typically ±0.05 cm³.

Step 11

Calculate the maximum percentage error in the volume of FA 2 in your first accurate titration.

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Answer

  1. The maximum percentage error can be calculated using the formula: [ \text{Percentage Error} = \frac{\text{Maximum Error}}{\text{Reading}} \times 100 ] 2. If the first accurate titration reading was 26.5 cm³, then: [ \text{Percentage Error} = \frac{0.05}{26.5} \times 100 \approx 0.19% ]

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