To determine which solution was at the optimal temperature for the greatest solubility, we need to compare the solubility values given in the chart. Here’s the solubility data for each solution:
- Solution [tex]\( W \)[/tex] at 40°C: 50 g/100 g water
- Solution [tex]\( X \)[/tex] at 59°C: 200 g/100 g water
- Solution [tex]\( Y \)[/tex] at 55°C: 150 g/100 g water
- Solution [tex]\( Z \)[/tex] at 48°C: 80 g/100 g water
To find the solution with the greatest solubility, we look for the highest value among the provided solubility values.
Comparing the solubility values:
- 50 g/100 g water for Solution [tex]\( W \)[/tex]
- 200 g/100 g water for Solution [tex]\( X \)[/tex]
- 150 g/100 g water for Solution [tex]\( Y \)[/tex]
- 80 g/100 g water for Solution [tex]\( Z \)[/tex]
It is evident that the highest solubility value is 200 g/100 g water.
Therefore, the solution at the optimal temperature that allows for the greatest solubility is Solution [tex]\( X \)[/tex].