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The solubility product, Ksp, of a sparingly soluble salt can be determined by measuring the cell potential of a cell known as a concentration cell - CIE - A-Level Chemistry - Question 2 - 2018 - Paper 1

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The solubility product, Ksp, of a sparingly soluble salt can be determined by measuring the cell potential of a cell known as a concentration cell. One of the half-c... show full transcript

Worked Solution & Example Answer:The solubility product, Ksp, of a sparingly soluble salt can be determined by measuring the cell potential of a cell known as a concentration cell - CIE - A-Level Chemistry - Question 2 - 2018 - Paper 1

Step 1

Explain how you would do this.

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To maintain the temperature of the solutions at 40°C, the half-cells can be placed in a thermostatically controlled water bath. This water bath will keep the solutions at a constant temperature, compensating for any heat loss to the environment.

Step 2

State one reason why.

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One reason the voltmeter reading would change is that the concentration of Ag+(aq) can change if water evaporates from the cell solutions, thereby altering the internal concentration conditions and affecting the cell potential.

Step 3

Complete the fourth and fifth columns of the table.

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| 0.0010 | -2.00 | -0.097 | -1.56 | | 0.0050 | -1.30 | -0.140 | -1.74 | | 0.0100 | -1.00 | -0.159 | -1.79 | | 0.0500 | -0.60 | -0.174 | -1.10 | | 0.1000 | -0.20 | -0.202 | -0.96 | | 0.2000 | 0.00 | -0.221 | -0.76 | | 0.5000 | 0.30 | -0.239 | -0.56 | | 1.0000 | 0.70 | -0.264 | -0.33 | | 1.5000 | 1.00 | -0.294 | -0.12 |

Step 4

For experiment 6, calculate the volume of 2.0 mol/dm³ Ag+(aq) needed to prepare exactly 250.0 cm³ of Ag+(aq) solution in a 250.0 cm³ volumetric flask.

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To calculate the volume of Ag+(aq) needed, we can use the formula:

C1V1=C2V2C_1V_1 = C_2V_2

Where:

  • C1C_1 = 2.0 mol/dm³ (concentration to be prepared)
  • V2V_2 = 250.0 cm³ (desired final volume)
  • C2C_2 = desired concentration

Thus:

2.0×V1=0.2502.0 \times V_1 = 0.250 Solving for V1V_1, we get:

V1=0.2502.0=0.125 dm3=125 cm3V_1 = \frac{0.250}{2.0} = 0.125\text{ dm}^3 = 125\text{ cm}^3

Step 5

Name a suitable piece of apparatus which could be used to measure the volume calculated in (i).

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A suitable piece of apparatus to measure the calculated volume of Ag+(aq) would be a burette, as it allows for precise volume measurements.

Step 6

Use this equation and your answer to (c)(iii) to calculate a value for Ksp.

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Using the relationship Ksp=Csat2Ksp = Csat^2 and assuming the concentration of saturated AgCl solution is equal to the calculated concentration, we can find Ksp:

Assuming Csat from part (c)(iii) gives us:

Ksp=(12.5×103)2=1.56×104Ksp = (12.5 \times 10^{-3})^2 = 1.56 \times 10^{-4}

Step 7

Using the axes below, sketch a graph to show how the Ksp of AgCl varies with temperature.

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The graph is expected to curve upwards, starting off flat at low temperatures and gradually increasing as the temperature rises, indicating that Ksp increases with temperature.

Step 8

Explain your answer.

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Answer

Chloride ions can form a precipitate with silver ions (AgCl), disrupting the equilibrium and affecting the cell potential.

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