The coldest and hottest temperatures ever recorded in the United States are -80°F (211 K) and 134°F (330 K), respectively. What is the speed of sound in air at each temperature? _____m/s at -80°F _____m/s at 134°F

http://hyperphysics.phy-astr.gsu.edu/hbase/sound/souspe.html

The formula to use is

V = sqrt (gamma R T/M)
where gamma = 1.4, R is the gas constant, M is the molar mass of air and T is the absolute temperature. Make sure you use consistent units.

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

v = √(γ * R * T)

Where:
v is the speed of sound
γ is the adiabatic index for air (approximately 1.4)
R is the specific gas constant for air (approximately 287 J/(kg*K))
T is the temperature in Kelvin

Let's calculate the speed of sound at -80°F (-62.2°C):

T = (°F - 32) × 5/9 + 273.15
T = (-80 - 32) × 5/9 + 273.15
T = -62.2222 + 273.15
T = 210.9272 K

Now we can calculate the speed of sound at -80°F:

v = √(1.4 * 287 * 210.9272)
v ≈ 331.4 m/s

Therefore, the speed of sound in air at -80°F is approximately 331.4 m/s.

Now, let's calculate the speed of sound at 134°F (56.7°C):

T = (°F - 32) × 5/9 + 273.15
T = (134 - 32) × 5/9 + 273.15
T = 56.6667 + 273.15
T = 329.8167 K

Now we can calculate the speed of sound at 134°F:

v = √(1.4 * 287 * 329.8167)
v ≈ 343.2 m/s

Therefore, the speed of sound in air at 134°F is approximately 343.2 m/s.