The speed of sound in air at 27degress is 340m/s.The speed of sound at temperature of 927degress is?

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Answer 1 · 2018-05-09T07:05:45

#"680 m/s"#

Speed of sound in air is directly proportional to square root of absolute temperature

#"v" ∝ sqrt("T")#

So,

#"v"_2 = "v"_1 × sqrt("T"_2/"T"_1)#

#"v"_2 = "340 m/s" × sqrt("(927 + 273) K"/"(27 + 273) K"#

#"v"_2 = "340 m/s" × sqrt((12cancel(00)\ cancel"K")/(3cancel(00)\ cancel"K")#

#"v"_2 = "340 m/s" × 2 = "680 m/s"#