Answer:
The speed of sound in air on a day when the temperature of the air is 20 °C is approximately 343 m/s
Explanation:
Speed of sound in air is given as
[tex]v_{air} = 331\frac{m}{s} \sqrt{\frac{T_{K }}{273 \ K} }= 331\frac{m}{s} \sqrt{1+\frac{T_{^{\circ}C }}{273^{\circ}C} }[/tex]
Therefore, where the temperature is given as
T = 20 °C we have
T = 293.15 K
Therefore, the speed of sound in air at 20 °C given as
[tex]v_{air} = 331\frac{m}{s} \sqrt{\frac{293 }{273} } =331\frac{m}{s} \sqrt{1+\frac{20_{^{\circ}C }}{273^{\circ}C} } = 342.998 \ m/s[/tex]
The speed of sound in air on a day when the temperature of the air is 20 °C is 342 .998 m/s ≈ 343 m/s.
