What is the ratio of the speed of sound in air at 0°C to the speed at 100°C?
isn't there a formula for speed of sound?
what is (331/(331+.6*100) ? Isnt that the formula? Check it.
To find the ratio of the speed of sound in air at 0°C to the speed at 100°C, we need to know the relationship between the speed of sound and temperature in air.
The speed of sound in air depends on the temperature and can be calculated using the formula:
v = 331.4 + 0.6T,
where v is the speed of sound in meters per second (m/s) and T is the temperature in degrees Celsius (°C).
So, to find the ratio, we need to substitute the temperatures into the formula and compare the results.
First, let's find the speed of sound at 0°C:
v1 = 331.4 + 0.6(0) = 331.4 m/s.
Next, let's calculate the speed of sound at 100°C:
v2 = 331.4 + 0.6(100) = 331.4 + 60 = 391.4 m/s.
Finally, we can determine the ratio of v1 to v2:
Ratio = v1/v2 = 331.4/391.4 ≈ 0.846.
Therefore, the ratio of the speed of sound in air at 0°C to the speed at 100°C is approximately 0.846.