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## Homework Statement

The speed of sound in the air is proportional to the square root of the absolute temperature. At 20 °C the speed of sound is 343 m/s.

## Homework Equations

What is the speed of sound at –10 °C? (0 °C = 273 K).

## The Attempt at a Solution

speed of sound= x*[tex]\sqrt{}T[/tex]

x*[tex]\sqrt{}293.15[/tex]=343m/s

x=20.03

so the speed of sound at -10 C (263.15K) is: 20.03*[tex]\sqrt{}263.15[/tex] = 324.92m/s.