Question

The RMS speed of a oxygen at room temperature is about 500m/s . The RMS speed of hydrogen at the same temperature is about

Answer 1

GIVEN:

Molar mass O2=32( diatomic)

Molar mass H2=2 (diatomic)

(V rms) O = 500 m/s

FORMULA:

• V rms =√3RT/M

here,

1. R=ideal gas constant
2. T=temperature
3. M =molar mass

In this question T ,R are constant

• $v \: rms \alpha \frac{1}{ \sqrt{m} }$

SOLUTION:

(V rms ) H2/(V rms )O2 =√M O2 /M H2

(V rms ) H2/(V rms )O2 =√32/2

(V rms ) H2/(V rms )O2 =√16

(V rms ) H2/(V rms )O2 ==4

(V rms ) H2=4×500

(V rms ) H2=2000m/s

I hope this helps ( ╹▽╹ )