Question #253996
What is the speed of sound, if air temperature is -20 °C?
1
Expert's answer
2021-10-20T15:58:05-0400

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

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

T1=27+273=300  KT2=20+273=253  Kv2=v1×T2T1v2=340×253300v2=312.23  m/sT_1 = 27 + 273 =300 \;K \\ T_2 = -20 +273 = 253 \;K \\ v_2 = v_1 \times \sqrt{\frac{T_2}{T_1}} \\ v_2 = 340 \times \sqrt{\frac{253}{300}} \\ v_2 =312.23 \; m/s


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