The density of air at NTP is 1.3g/L. Assuming air to be diatomic with γ=1.4, calculate the velocity of sound in air at 27∘C.
A
330m/s
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B
300m/s
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C
660m/s
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D
346m/s
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Solution
The correct option is D346m/s At NTP, P=1.013×105N/m2;T=273K and ρ=1.3g/L=1.3kg/m3 So, velocity of sound in air at NTP is given by V=√γPρ=√1.4×1.013×1051.3=330.29≈330m/s Also, we know V=√γRTM For same medium V∝√T ⇒V1V2=√T1√T2⇒V2=V1√T2√T1=330√273+27√273 ⇒V2=346m/s