Question

The velocity of sound through a diatomic gaseous medium of molecular weight $M$ at $0^{o}C$ is approximately

• A. $\left(\frac{R}{M}\right)$
• B. $\left(\frac{3R}{M}\right)$
• C. $\left(\frac{382R}{M}\right)$
• D. $\left(\frac{273R}{M}\right)$

Answer 1

Answer: (C)

$\left(\frac{382R}{M}\right)$

Temperature of gas $T=0^{o}C=273K$

For diatomic gas, $\gamma =1.4$

Velocity of sound in a gaseous medium $v=\sqrt{\frac{\gamma RT}{M}}$

$\therefore$ $v=\sqrt{\frac{1.4R\times 273}{M}}=\sqrt{\frac{382R}{M}}$