Apply the concept in the given situations below.

Find the speed of sound in a school canteen where the temperature is 33 0C?

Formula: v = 331 m/s + (0.6 m/s 0C) x T

What is the speed of sound in a place where the temperature is – 2.5 0C?

Formula: v = 331 m/s + (0.6 m/s 0C) x T

To find the speed of sound in air at different temperatures, we can use the formula provided:

\[
v = 331 \, \text{m/s} + (0.6 \, \text{m/s} \, \degree\text{C}) \times T
\]

where:
- \( v \) is the speed of sound in meters per second (m/s).
- \( T \) is the temperature in degrees Celsius (\degree\text{C}).

### 1. Speed of Sound in the School Canteen at 33 \degree\text{C}

Given that the temperature \( T = 33 \degree\text{C} \):

\[
v = 331 \, \text{m/s} + (0.6 \, \text{m/s} \, \degree\text{C}) \times 33
\]

Calculating the value:

\[
v = 331 \, \text{m/s} + (0.6 \times 33)
\]

\[
v = 331 \, \text{m/s} + 19.8 \, \text{m/s}
\]

\[
v = 350.8 \, \text{m/s}
\]

So, the speed of sound in the school canteen at 33 \degree\text{C} is **350.8 m/s**.

### 2. Speed of Sound in a Place at -2.5 \degree\text{C}

Given that the temperature \( T = -2.5 \degree\text{C} \):

\[
v = 331 \, \text{m/s} + (0.6 \, \text{m/s} \, \degree\text{C}) \times (-2.5)
\]

Calculating the value:

\[
v = 331 \, \text{m/s} + (0.6 \times -2.5)
\]

\[
v = 331 \, \text{m/s} - 1.5 \, \text{m/s}
\]

\[
v = 329.5 \, \text{m/s}
\]

So, the speed of sound in a place at -2.5 \degree\text{C} is **329.5 m/s**.

### Summary of Results:
- **Speed of sound at 33 \degree\text{C}:** 350.8 m/s
- **Speed of sound at -2.5 \degree\text{C}:** 329.5 m/s

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What is the effect of humidity on the speed of sound?
2. How does altitude affect the speed of sound in the air?
3. Why does the speed of sound change with temperature?
4. How does the speed of sound in water compare to that in air at the same temperature?
5. What are some practical applications of knowing the speed of sound at different temperatures?

**Tip:** The speed of sound in air increases with temperature because warmer air has faster-moving molecules, allowing sound waves to travel more quickly.

Learn how to calculate the speed of sound in air at different temperatures using the formula v = 331 m/s + (0.6 m/s °C) × T. Solve specific examples like finding the speed of sound in a school canteen at 33°C and at a place with -2.5°C. Understand the impact of temperature on the speed of sound. Suitable for high school students studying physics.

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