VIDEO solution: Whats New Activity: Speed of Sound Objective: At ... - Free Printable

Problem Overview:

The task involves analyzing the relationship between the speed of sound in air and temperature. The provided data shows the speed of sound at different temperatures, and you are required to plot this data on a graph and interpret the results.

Given Data:

| Temperature (°C) | Speed (m/s) |
|------------------|-------------|
| 0 | 331 |
| 5 | 334 |
| 10 | 337 |
| 20 | 343 |

Objective:

1. Plot the data on the provided graph.
2. Analyze the relationship between temperature and the speed of sound.
3. Determine how temperature affects the speed of sound.

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Step-by-Step Solution:

#### Step 1: Understand the Graph
- The graph has:
- X-axis: Temperature in °C (ranging from 0 to 20).
- Y-axis: Speed of Sound in m/s (ranging from 331 to 343).

#### Step 2: Plot the Data Points
Using the given data, plot each point on the graph:
1. At \( \text{Temperature} = 0^\circ \text{C} \), \( \text{Speed} = 331 \, \text{m/s} \).
2. At \( \text{Temperature} = 5^\circ \text{C} \), \( \text{Speed} = 334 \, \text{m/s} \).
3. At \( \text{Temperature} = 10^\circ \text{C} \), \( \text{Speed} = 337 \, \text{m/s} \).
4. At \( \text{Temperature} = 20^\circ \text{C} \), \( \text{Speed} = 343 \, \text{m/s} \).

Mark these points accurately on the graph.

#### Step 3: Draw a Line of Best Fit
After plotting the points, connect them with a smooth line. This line will help visualize the trend in the data.

#### Step 4: Analyze the Relationship
From the plotted data and the line of best fit:
- As the temperature increases, the speed of sound also increases.
- The relationship appears to be linear, meaning the speed of sound increases at a constant rate with temperature.

#### Step 5: Interpret the Results
- Effect of Temperature: The speed of sound in air increases with an increase in temperature. This is because higher temperatures cause air molecules to vibrate more rapidly, allowing sound waves to propagate faster.
- Rate of Increase: From the data:
- Between \( 0^\circ \text{C} \) and \( 5^\circ \text{C} \): Speed increases by \( 3 \, \text{m/s} \).
- Between \( 5^\circ \text{C} \) and \( 10^\circ \text{C} \): Speed increases by \( 3 \, \text{m/s} \).
- Between \( 10^\circ \text{C} \) and \( 20^\circ \text{C} \): Speed increases by \( 6 \, \text{m/s} \).

This suggests that for every \( 5^\circ \text{C} \) increase in temperature, the speed of sound increases by approximately \( 3 \, \text{m/s} \).

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Final Answer:

The speed of sound in air increases linearly with temperature. For every \( 5^\circ \text{C} \) increase in temperature, the speed of sound increases by approximately \( 3 \, \text{m/s} \).

\[
\boxed{\text{The speed of sound increases with temperature.}}
\]