The velocity of sound through a diatomic gaseous medium of molecular weight $M$ at $0^\circ\text{C}$, is

The velocity of sound through a diatomic gaseous medium of molecular weight $M$ at $0^\circ\text{C}$, is
  1. $\sqrt{\frac{R}{M}}$
  2. $\sqrt{\frac{3R}{M}}$
  3. $\sqrt{\frac{382R}{M}}$
  4. $\sqrt{\frac{273 R}{M}}$

Solution

Velocity of sound through gaseous medium, $v = \sqrt{\frac{\gamma RT}{M}}$. For diatomic gas, $\gamma = 1.4$ and $T = 273\text{ K}$ $\cdot\cdot\cdot\text{ }\gamma T \approx 382$ $\cdot\cdot\cdot$ The velocity of sound through a diatomic gaseous medium, $v = \sqrt{\frac{382 R}{M}}$

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