Q 13
Question

Answer the following questions with the help of the data given in Table 5.4.

Salts 10 °C 20 °C 30 °C 40 °C 60 °C 80 °C
Potassium nitrate 21 32 45 62 106 167
Sodium chloride 36 36 36.3 36.5 37 37
Potassium chloride 35 35 37.4 40 46 54
Ammonium chloride 24 37 41 41 55 66

(i) What mass of potassium nitrate would be needed to prepare its saturated solution in 50 g of water at 40 °C?

(ii) A student makes a saturated solution of potassium chloride in water at 80 °C and leaves the solution to cool at room temperature (25 °C). What would she observe as the solution cools? Explain.

(iii) What is the effect of a change in temperature on the solubility of salts? Also, compare the changes in the solubility of the four given salts with increasing temperature from 10 °C to 80 °C.

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Answer
(i) 31 g  •  (ii) crystals of potassium chloride separate out  •  (iii) all four rise with temperature, but by very different amounts.

Part (i)

Given: at 40 °C the solubility of potassium nitrate is 62 g per 100 g of water. To find: the amount for 50 g of water.

Potassium nitrate needed = 62 100 × 50 = 31 g

Part (ii)

She will see crystals of potassium chloride come out of the solution and collect at the bottom.

  • At 80 °C the solubility is 54 g per 100 g of water.
  • At 20 °C it is 35 g and at 30 °C it is 37.4 g, so at 25 °C it is about 36 g.
  • After cooling, the water can only hold about 36 g, so roughly 18 g must come out as crystals. That is crystallization.

Part (iii)

Salt Solubility change Increase
Potassium nitrate 21 → 167 g 146 g — the largest
Ammonium chloride 24 → 66 g 42 g
Potassium chloride 35 → 54 g 19 g
Sodium chloride 36 → 37 g 1 g — the smallest

So potassium nitrate is the best of the four for crystallization, because cooling drops the most solid. Sodium chloride is the hardest to crystallise, because its solubility barely changes with temperature — which is exactly why salt is taken from sea water by evaporation rather than by cooling.

The steeper the solubility rises with temperature, the better that salt crystallises on cooling.
← Back to: 5.3.1 Crystallization
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