Question

The coldest and hottest temperatures ever recorded in Switzerland are −43.2°F (231 K) and 106.7°F (315 K), respectively. What is the speed of sound in air at each temperature?

Answer 1

v₂₃₁ = 304.4 m/s

v₃₅₁ = 355.5 m/s

Step-by-step explanation:

The formula used to find the speed of sound in air, at different temperatures is given as follows:

v = v₀ √(T/273)

where,

v = speed of sound at given temperature

v₀ = speed of sound at 0°C = 331 m/s

T = temperature in K

For T = 231 K:

v₂₃₁ = (331 m/s)√(231 K/273 K)

v₂₃₁ = 304.4 m/s

For T = 315 K:

v₃₅₁ = (331 m/s)√(315 K/273 K)

v₃₅₁ = 355.5 m/s