The speed of sound in air is 332m/s at 0 C. At what temperature the speed become one halg of that of 0 C

Dear Student,
speed of sound is directly proportional to square root of temperature.
so,
v1v2=T1T2v1=332m/sT1=273Kv2=v12T2=?12=273T2squaring on both side,T2=273×4=1092KRegards

  • -1
Speed of sound at ToC = Speed of sound at 0oC + ( 0.6 x Temperature ToC )
332/2 = 332 + ( 0.6 + T )
166 = 332 + ( 0.6 + T )
-166 = 0.6 + T
T = -166.6oC
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