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Problem Analysis:

The task involves identifying laboratory equipment and designing an experiment to explore the relationship between solubility and temperature. Let's break this down step by step.

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#### Step 1: Identify the Laboratory Equipment
The images provided represent common laboratory equipment. Here are the labels for each:

1. Funnel: Used for transferring liquids or solids into containers with narrow openings.
2. Beakers: Used for mixing, heating, or holding liquids.
3. Erlenmeyer Flask: A conical flask used for mixing chemicals or conducting experiments that require swirling.
4. Filter Funnel (or Buchner Funnel): Used for filtering solid particles from a liquid.
5. Watch Glass: Used as a cover for beakers or flasks, or as a surface for evaporating liquids.

So, the answers for the equipment labels are:
- Funnel
- Beakers
- Erlenmeyer Flask
- Filter Funnel
- Watch Glass

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#### Step 2: Design an Experiment to Explain the Relationship Between Solubility and Temperature
To design an experiment that explores the relationship between solubility and temperature, we need to follow these steps:

##### Objective:
To determine how temperature affects the solubility of a solute in a solvent.

##### Materials:
- Solvent (e.g., water)
- Solute (e.g., salt or sugar)
- Beakers (from the identified equipment)
- Thermometer
- Stirring rod
- Stopwatch or timer
- Hot plate or heat source
- Ice bath or cooling system

##### Procedure:
1. Prepare Solutions at Different Temperatures:
- Label three beakers as "Cold," "Room Temperature," and "Hot."
- Fill each beaker with an equal volume of water.
- Place the "Cold" beaker in an ice bath to cool the water.
- Leave the "Room Temperature" beaker at room temperature.
- Heat the "Hot" beaker using a hot plate until the water reaches a desired elevated temperature (e.g., 60°C).

2. Add Solute Gradually:
- Start adding the solute (e.g., salt or sugar) to each beaker in small increments.
- Stir each solution continuously using a stirring rod to ensure the solute dissolves completely.
- Continue adding the solute until no more can dissolve (i.e., until a saturated solution is reached, indicated by undissolved solute settling at the bottom).

3. Record Observations:
- Measure and record the amount of solute added to each beaker before saturation occurs.
- Note the temperature of each solution during the experiment.

4. Analyze Results:
- Compare the amount of solute dissolved in each beaker at different temperatures.
- Determine whether solubility increases or decreases with temperature.

##### Expected Outcome:
For most solutes (e.g., salt), solubility generally increases with temperature. This is because higher temperatures provide more energy to the solute molecules, allowing them to overcome intermolecular forces and dissolve more easily.

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#### Step 3: Examples of the Effects of Temperature on Solubility
Here are some examples to illustrate how temperature affects solubility:

1. Salt in Water:
- Salt (sodium chloride) dissolves more readily in hot water than in cold water. As temperature increases, more salt can dissolve in a given volume of water.

2. Sugar in Water:
- Sugar also shows increased solubility with increasing temperature. Hot tea or coffee dissolves sugar more quickly and can hold more sugar compared to cold water.

3. Gases in Water:
- The solubility of gases in water decreases with increasing temperature. For example, carbon dioxide in soda is less soluble at higher temperatures, which is why soda goes flat faster when it is warm.

4. Solids That Decrease Solubility with Temperature:
- Some substances, like calcium hydroxide (slaked lime), show decreased solubility with increasing temperature. This is less common but demonstrates that the relationship is not always straightforward.

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Final Answer:

1. Experiment Design:
- Use beakers filled with water at different temperatures (cold, room temperature, hot).
- Add a solute (e.g., salt or sugar) gradually to each beaker until saturation.
- Measure and compare the amount of solute dissolved at each temperature.

2. Examples of Effects:
- Salt and sugar dissolve more in hot water than in cold water.
- Gases like carbon dioxide become less soluble in water as temperature increases.
- Some substances, like calcium hydroxide, dissolve less in hot water compared to cold water.

\boxed{
\text{1. Experiment design as described above.}
\text{2. Examples: Salt/sugar increase solubility with temperature; gases decrease solubility with temperature.}
}