Question

At what temperature is the speed of sound in air 314.2 m/s? V = 331 +.6(T)

Answer 1

-28 K

Step-by-step explanation

we have the equation V = 331 +0.6T as the speed of sound changes with temperature

rearrange to solve for T

V = 331 +0.6T

V - 331 = 0.6T

T =
`(V-331)/(0.6)`

plug in 314.2 for V

T =
`(314.2-331)/(0.6)`

T = -28 K

note that temperatures under 0K are impossible to reach, but the value is -28 K by the equation