The average velocity of an ideal gas molecule at $27^{\circ} C$ is $0.3 m / s e c$ . The average velocity at $927^{\circ} C$ will be :
$0.3 m / s e c$
$0.9 m / s e c$
$0.6 m / s e c$
$3.0 m / s e c$

Question

The average velocity of an ideal gas molecule 27-smallcirc-C is 0-3space m-sec- The average velocity 927-smallcirc-C will be -0-3space m-sec0-9space m-sec0-6space m-sec3-0space m-sec

Toppr Admin · Accepted Answer

Average velocity is directly proportional to the square root of temperature-vv-x2032-x221A-TT-x2032- 0-3v-x2032-x221A-3001200 v-x2032-0-6m-sec

The average velocity of an ideal gas molecule at 27∘C is 0.3 m/sec. The average velocity at 927∘C will be :0.3 m/sec0.9 m/sec0.6 m/sec3.0 m/sec

Average velocity is directly proportional to the square root of temperature.vv′=√TT′ 0.3v′=√3001200 v′=0.6m/sec

The average velocity of an ideal gas molecule at $27^{\circ} C$ is $0.3 m / s e c$ . The average velocity at $927^{\circ} C$ will be :
$0.3 m / s e c$
$0.9 m / s e c$
$0.6 m / s e c$
$3.0 m / s e c$

Average velocity is directly proportional to the square root of temperature.
$\frac{v}{v^{'}} = \sqrt{\frac{T}{T^{'}}}$
$\frac{0.3}{v^{'}} = \sqrt{\frac{300}{1200}}$
$v^{'} = 0.6 m / s e c$