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Answer :
We are given a table showing the concentration of the solute (in grams per mL of solvent) at various temperatures:
[tex]$$
\begin{array}{|c|c|}
\hline
T\ (\text{°C}) & \text{Concentration}\ \left(\frac{\text{g solute}}{\text{mL solvent}}\right) \\ \hline
18.5 & 1.43 \\ \hline
37.9 & 0.81 \\ \hline
59.3 & 0.30 \\ \hline
80.1 & 0.21 \\ \hline
\end{array}
$$[/tex]
Step 1: Observe the Trend
As the temperature increases from [tex]$18.5^\circ\text{C}$[/tex] to [tex]$80.1^\circ\text{C}$[/tex], the concentration decreases from [tex]$1.43$[/tex] to [tex]$0.21$[/tex]. This tells us that the solute is less soluble at higher temperatures.
Step 2: Relate the Trend to Solute Properties
Typically, the solubility of gases in liquids decreases with increasing temperature, while the solubility of solids in liquids generally increases with temperature.
Step 3: Conclusion
Since the data clearly show that the amount of solute dissolved decreases as the temperature rises, this behavior is characteristic of a gas.
Therefore, the correct answer is:
[tex]$$\text{The solute is a GAS because the amount dissolved decreases as temperature increases.}$$[/tex]
[tex]$$
\begin{array}{|c|c|}
\hline
T\ (\text{°C}) & \text{Concentration}\ \left(\frac{\text{g solute}}{\text{mL solvent}}\right) \\ \hline
18.5 & 1.43 \\ \hline
37.9 & 0.81 \\ \hline
59.3 & 0.30 \\ \hline
80.1 & 0.21 \\ \hline
\end{array}
$$[/tex]
Step 1: Observe the Trend
As the temperature increases from [tex]$18.5^\circ\text{C}$[/tex] to [tex]$80.1^\circ\text{C}$[/tex], the concentration decreases from [tex]$1.43$[/tex] to [tex]$0.21$[/tex]. This tells us that the solute is less soluble at higher temperatures.
Step 2: Relate the Trend to Solute Properties
Typically, the solubility of gases in liquids decreases with increasing temperature, while the solubility of solids in liquids generally increases with temperature.
Step 3: Conclusion
Since the data clearly show that the amount of solute dissolved decreases as the temperature rises, this behavior is characteristic of a gas.
Therefore, the correct answer is:
[tex]$$\text{The solute is a GAS because the amount dissolved decreases as temperature increases.}$$[/tex]
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