the velocity of sound in air 27 C is 340m/s calculate velocity of sound in air at 127 C

340 m/s * sqrt(400/300) = 392.6 m/s

The velocity of sound is proportional to the square root of the absolute temperature, if the molecular weight of the gas stays the same.

I have also assumed that the "gamma" (specific heat ratio Cp/Cv) is the same for air at both temperatures (27 and 127 C). This is a valid assumption up to about 200 C.

http://www.engineeringtoolbox.com/specific-heat-ratio-d_602.html

speed of sound = sqrt(gamma*R*T/M)
M = molecular weight = 28.97 for air
gamma = specific heat ratio = 1.40 for air
T = absolute temperature
R = gas constant per mole

392.6 m/s

wrong question

To calculate the velocity of sound in air at 127°C, we can use the formula:

v2 = v1 * sqrt(T2 / T1),

where:
- v1 is the velocity of sound at one temperature (27°C in this case),
- v2 is the unknown velocity of sound at another temperature (127°C in this case),
- T1 is the initial temperature in Kelvin (which is obtained by adding 273 to the given temperature in Celsius),
- T2 is the final temperature in Kelvin.

So, let's calculate it step by step:

Step 1: Convert the given temperatures to Kelvin:
- Initial temperature (27°C): T1 = 27 + 273 = 300 K
- Final temperature (127°C): T2 = 127 + 273 = 400 K

Step 2: Plug the values into the formula and solve for v2:
v2 = 340 m/s * sqrt(400 K / 300 K)
v2 = 340 m/s * sqrt(4/3)
v2 ≈ 340 m/s * 1.1547
v2 ≈ 392.98 m/s

Therefore, the velocity of sound in air at 127°C is approximately 392.98 m/s.