Question

The ratio of the velocity of sound in a monatomic gas to that in a triatomic gas having same molar mass, under similar conditions of temperature and pressure, is

• A. 1.12
• B. 1.25
• C. 1.5
• D. 1.62

Answer 1

Answer: (A)

1.12

Y for monatomic $=1.66$

Y for triatomic $=1.33$

For same molar mass, temperature and pressure

$\nu \propto \sqrt{Y}$

So, $\frac{{\nu }_1}{{\nu }_2}=\frac{\sqrt{Y_1}}{\sqrt{Y_2}}$$=\sqrt{\frac{1.66}{1.33}}$$=1.12$