What is the speed of sound in the air if the temperature is 30°C?
[tex]\:[/tex]
[tex]\tt\blue{Given:}[/tex] [tex]\tt\blue{T\:=\:30°C}[/tex]
[tex]\tt\blue{Solution:}[/tex]
[tex]\tt\blue{V\:=\:331}[/tex][tex]\tt\frac\blue{m}\blue{s}[/tex][tex]\blue{+}[/tex][tex]\tt\blue{(0.6}[/tex][tex]\tt\frac\blue{m/s}\blue{°C}[/tex][tex]\blue{)}[/tex] [tex]\tt\blue{•\:T}[/tex]
[tex]\tt\blue{=\:331}[/tex] [tex]\tt\frac\blue{m}\blue{s}[/tex] [tex]\blue{+}[/tex] [tex]\tt\blue{(0.6}[/tex][tex]\tt\frac\blue{m/s}\blue{°C}[/tex][tex]\blue{)}[/tex] [tex]\tt\blue{•\:30°C}[/tex]
[tex]\tt\blue{=\:331}[/tex] [tex]\tt\frac\blue{m}\blue{s}[/tex] [tex]\blue{+}[/tex] [tex]\tt\blue{(18}[/tex][tex]\tt\frac\blue{m}\blue{s}[/tex][tex]\blue{)}[/tex]
[tex]\tt\blue{V\:=\:349}[/tex] [tex]\tt\frac\blue{m}\blue{s}[/tex]
The speed of sound in air at 30°C is approximately [tex]\bold{349\:m/s}[/tex].
