(i) 31 g of potassium nitrate.
From Table 5.4, solubility of KNO₃ at 40 °C = 62 g per 100 g of water
Mass needed for 50 g of water = (62 g ÷ 100 g) × 50 g
= 31 g of potassium nitrate
(ii) She would see crystals of potassium chloride separating out as the solution cools, so that the liquid becomes cloudy and then a solid layer collects at the bottom of the beaker.
Solubility of KCl at 80 °C = 54 g per 100 g of water
Solubility of KCl at 20 °C = 35 g, at 30 °C = 37.4 g per 100 g of water
So at 25 °C the solubility is about (35 + 37.4) ÷ 2 ≈ 36 g per 100 g of water
Mass that must crystallise out ≈ 54 g − 36 g = about 18 g per 100 g of water
Why the crystals appear: At 80 °C the 100 g of water is holding 54 g of KCl, the most it can hold at that temperature. As the temperature falls, so does the maximum the water can hold. By 25 °C it can keep only about 36 g in solution, so the extra 18 g has nowhere to stay and separates out as solid crystals. This is crystallization — and if she lets it cool slowly and undisturbed, the crystals will be large and well formed.
(iii) For all four salts the solubility increases as the temperature increases — but by very different amounts.
All values are in grams per 100 g of water. The order of increase is potassium nitrate > ammonium chloride > potassium chloride > sodium chloride.
Why this matters in practice: How steeply the solubility rises decides which separation method to use. Potassium nitrate is ideal for crystallization — cool a hot saturated solution and a huge mass of it comes out. Sodium chloride is almost unaffected by temperature, so cooling gives virtually nothing; that is why common salt is obtained by evaporating seawater instead of by cooling it.