Question

Five gas molecules chosen at random are found to have speeds 500 m s–1,
600 m s–1, 700 m s–1, 800 m s–1, and 900 m s–1. Calculate their RMS speed

Answer 1

Dear Student,

◆ Answer -

vrms = 714.14 m/s

● Explanation -

RMS speed of the gas is calculated by -

vrms = √[(v1²+v2²+v3²+v4²+v5²)/n]

vrms = √[(500²+600²+700²+800²+900²)/5]

vrms = √[(250000+360000+490000+640000+810000²)/5]

vrms = √(2550000/5)

vrms = √510000

vrms = 714.14 m/s

Therefore, rms speed of the gas is 714.14 m/s

Thanks dear. Hope this helps you...