The temperature of a solution can change the solubility of a substance. The chart shows the solubility of the same solute at different temperatures in water.

\begin{tabular}{|c|c|c|}
\hline
Solution & Temperature [tex]$^{\circ} C$[/tex] & [tex]$g / 100 g$[/tex] water \\
\hline
[tex]$W$[/tex] & 40 & 50 \\
\hline
[tex]$X$[/tex] & 59 & 200 \\
\hline
[tex]$Y$[/tex] & 55 & 150 \\
\hline
[tex]$Z$[/tex] & 48 & 80 \\
\hline
\end{tabular}

Based on the chart, which solution was at the optimal temperature to allow for the greatest solubility?

A. W
B. X
C. Y
D. Z



Answer :

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.