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Question

The density of air at NTP is 1.3 g/L. Assuming air to be diatomic with γ=1.4, calculate the velocity of sound in air at 27C.


Your Answer
A
330 m/s
Your Answer
B
300 m/s
Your Answer
C
660 m/s
Correct Answer
D
346 m/s

Solution

The correct option is B 346 m/s
At NTP,
P=1.013×105 N/m2;T=273 K and ρ=1.3 g/L=1.3 kg/m3
So, velocity of sound in air at NTP is given by
V=γPρ=1.4×1.013×1051.3=330.29330 m/s
Also, we know 
V=γRTM
For same medium
VT
V1V2=T1T2V2=V1T2T1=330273+27273
V2=346 m/s

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