Question

The speed of sound in air can be expressed as 331 m/sec at 0 degree celsius. it increases 0.6 m/sec for each celsius degree above zero. assume the temperature of the room is 25 degree celsius. calculate the speed of sound in m/s at this temperature.

Answer 1

The speed of sound at 0 degree celsius is 331 m/s, and it increases by 0.6 m/s for each celsius degree. In formulas, this can be rewritten as
$v(T) = v(0^{\circ}C) + 0.6 T$
where T is the temperature in Celsius degrees. Substituting $T=25^{\circ}C$, we find the speed of sound at this temperature:
$v(25^{\circ}C)= 331 m/s + (0.6 m/s^{\circ}C) \cdot (25^{\circ}C)=346 m/s$