\begin{tabular}{|c|c|}
\hline
Experiment & Predicted Outcome \\
\hline
\begin{tabular}{l}
Identical wire loops are dipped into Liquid [tex]$A$[/tex] \\
and Liquid [tex]$B$[/tex], so that a film of liquid forms \\
across the loops (like the bubble solution on a \\
child's bubble blowing wand). The width of \\
each loop is increased slowly and the forces \\
[tex]$F_A$[/tex] and [tex]$F_B$[/tex] needed to make the loops [tex]$5\%$[/tex] \\
wider are measured.
\end{tabular} & \begin{tabular}{l}
[tex]$F_A$[/tex] will be greater than [tex]$F_B$[/tex] \\
[tex]$F_A$[/tex] will be less than [tex]$F_B$[/tex] \\
[tex]$F_A$[/tex] will be equal to [tex]$F_B$[/tex] \\
It's impossible to predict whether [tex]$F_A$[/tex] or [tex]$F_B$[/tex] will \\
be greater without more information.
\end{tabular} \\
\hline
\begin{tabular}{l}
15.0 mL of Liquid [tex]$A$[/tex] are put in one sealed \\
5 L flask, and 15.0 mL of Liquid [tex]$B$[/tex] are put \\
in another sealed 5 L flask. The pressure in \\
each flask is then slowly lowered with a \\
vacuum pump.
\end{tabular} & \begin{tabular}{l}
Eventually both liquids boil, A first and then B. \\
Eventually both liquids boil, B first and then A. \\
Neither liquid will boil. \\
It's impossible to predict whether either liquid \\
boils without more information.
\end{tabular} \\
\hline
\end{tabular}



Answer :

To solve the given problem, let's break it down into the two scenarios described in the question and determine the predicted outcomes based on the available information.

### Scenario 1: Forces on Wire Loops
In this scenario, we are dipping identical wire loops into two different liquids, Liquid A and Liquid B, forming a film of liquid across these loops. We are then measuring the forces [tex]\( F_A \)[/tex] and [tex]\( F_B \)[/tex] required to make the loops 5% wider.

Key considerations:
- The force required to increase the width of the loops depends on the surface tension of the liquids.
- Surface tension is a property that varies between different liquids.
- Without knowing the specific surface tensions of Liquid A and Liquid B, we cannot directly compare [tex]\( F_A \)[/tex] and [tex]\( F_B \)[/tex].

Conclusion:
Since we don't have information about the surface tension values of Liquid A and Liquid B, it is impossible to predict whether [tex]\( F_A \)[/tex] will be greater than, less than, or equal to [tex]\( F_B \)[/tex].

### Scenario 2: Boiling Points in Sealed Flasks
In this scenario, we have 15.0 mL of Liquid A in one sealed 5 L flask, and 15.0 mL of Liquid B in another sealed 5 L flask. The pressure in each flask is lowered slowly with a vacuum pump, and we want to predict which liquid, if any, will boil first.

Key considerations:
- Boiling occurs when the vapor pressure of the liquid equals the external pressure.
- Different liquids have different boiling points and vapor pressures.
- Without information on the boiling points or vapor pressures of Liquid A and Liquid B, it is impossible to determine which liquid will boil first or if either liquid will boil under the given conditions.

Conclusion:
Given that we do not have the specific boiling points or vapor pressures for Liquid A and Liquid B, it is impossible to predict whether Liquid A or Liquid B will boil first, or if either will boil at all.

### Final Summary

Experiment 1:
- Predicted Outcome: It's impossible to predict whether [tex]\( F_A \)[/tex] or [tex]\( F_B \)[/tex] will be greater without more information.

Experiment 2:
- Predicted Outcome: It's impossible to predict whether either Liquid A or Liquid B will boil without more information.

This step-by-step analysis concludes that in both scenarios, without additional specific information about the properties of the liquids involved, no definitive prediction can be made.