Question

The average velocity of an ideal gas molecule at ${27}^{\circ }C$ is $0.3m/sec$. The average velocity at ${927}^{\circ }C$ will be :

• A. $0.6m/sec$
• B. $0.3m/sec$
• C. $0.9m/sec$
• D. $3.0m/sec$

Answer 1

Answer: (A)

$0.6m/sec$

Average velocity is directly proportional to the square root of temperature.
$\frac{v}{v^{\prime }}=\sqrt{\frac{T}{T^{\prime }}}$
$\frac{0.3}{v^{\prime }}=\sqrt{\frac{300}{1200}}$
$v^{\prime }=0.6m/sec$