A) 3325m/s
B) 340 m/s
C) 320 m/s
D) 325 m/s
Correct Answer: A
Solution :
At STP, \[p=1atm=1.01\times {{10}^{5}}N/{{m}^{2}}\] Density of air\[\rho =\frac{mass\,of\,1\,mol\,of\,air\,(in\,kg)}{volume\,of\,1\,mol(in\,{{m}^{3}})}\] \[=\frac{29\times {{10}^{-3}}}{22.4\times {{10}^{-3}}}=129\,kg-{{m}^{-3}}\] From Laplace corrected formula, the velocity of sound is given by \[v=\sqrt{\frac{\gamma p}{\rho }}\] For air, \[\gamma =1.41\] So, \[v=\sqrt{\frac{141\times 101\times {{10}^{5}}}{129}}=3325\,m/s\]
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