To determine the speed of sound in air at a temperature of 25°C, we can use the following empirical formula:
\(\[ v = 331.3 + (0.6 \times T) \]\)
Where:
- \(\( v \)\) is the speed of sound in meters per second (m/s)
- \(\( T \)\) is the temperature in degrees Celsius (°C)
Let's substitute the given temperature \(\( T = 25 \)\)°C into the formula.
1. Substitute the temperature value into the formula:
\(\[ v = 331.3 + (0.6 \times 25) \]\)
2. Calculate the product:
\(\[ 0.6 \times 25 = 15 \]\)
3. Add this product to the base speed at 0°C:
\(\[ v = 331.3 + 15 \]\)
4. Sum the values:
\(\[ v = 346.3 \]\)
Therefore, the speed of sound in air at 25°C is \(\( \boxed{346.3 \text{ m/s}} \)\).
