Let's analyze the data provided in the chart showing the solubility of the same solute at different temperatures in water.
The chart details are:
[tex]\[
\begin{tabular}{|c|c|c|}
\hline Solution & Temperature $^{\circ} C$ & Solubility ($g / 100 g$ water) \\
\hline
W & 40 & 50 \\
\hline
X & 59 & 200 \\
\hline
Y & 55 & 150 \\
\hline
Z & 48 & 80 \\
\hline
\end{tabular}
\][/tex]
To determine which solution was at the optimal temperature for the greatest solubility, we will compare the solubility values given for each solution:
- Solution W has a solubility of 50 g/100 g water.
- Solution X has a solubility of 200 g/100 g water.
- Solution Y has a solubility of 150 g/100 g water.
- Solution Z has a solubility of 80 g/100 g water.
By comparing these solubility values, we see that:
[tex]\[ 50 < 80 < 150 < 200 \][/tex]
Hence, the solution with the highest solubility is `X` with 200 g/100 g water.
Therefore, Solution X was at the optimal temperature to allow for the greatest solubility.
