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