Q4.
Refer to the solubility curves given in Activity 5.2. If equal masses of hot, saturated solutions of compounds ‘A’ and ‘B’ are cooled from 80 °C to 60 °C, which solution is likely to deposit more solid?
Answer
The solution of compound ‘B’ will deposit far more solid.
Step 1 — read the solubilities off Fig. 5.6 (in g per 100 g of water):
Compound B: at 80 °C ≈ 360 g at 60 °C = 287 g
Compound A: at 80 °C ≈ 66 g at 60 °C ≈ 56 g
Compound A: at 80 °C ≈ 66 g at 60 °C ≈ 56 g
Step 2 — solid deposited per 100 g of water
Compound B: 360 g − 287 g ≈ 73 g
Compound A: 66 g − 56 g ≈ 10 g
Compound A: 66 g − 56 g ≈ 10 g
Step 3 — the question says equal masses of solution, so scale to 100 g of solution
B: 100 g water + 360 g solute = 460 g of solution
deposit = (73 g ÷ 460 g) × 100 g ≈ 15.9 g per 100 g of solution
A: 100 g water + 66 g solute = 166 g of solution
deposit = (10 g ÷ 166 g) × 100 g ≈ 6.0 g per 100 g of solution
deposit = (73 g ÷ 460 g) × 100 g ≈ 15.9 g per 100 g of solution
A: 100 g water + 66 g solute = 166 g of solution
deposit = (10 g ÷ 166 g) × 100 g ≈ 6.0 g per 100 g of solution
Either way of counting gives the same verdict: B deposits more — about 2.6 times as much for the same mass of solution.
Why it happens: What decides the yield of crystals is not how much solute a compound dissolves, but how steeply its solubility falls as the solution cools. B’s curve drops sharply between 80 °C and 60 °C, so a large excess is thrown out. A’s curve is almost flat, so hardly anything separates. This is why compounds with steep solubility curves, such as potassium nitrate, are purified by crystallization, while nearly-flat ones such as sodium chloride are obtained by evaporating the solvent instead.
Tip: Values read off a graph are approximate. Quote them as “about 360 g”, not 360.0 g — only 287 g and 241 g are printed exactly on Fig. 5.6.