The root mean square velocity of hydrogen molecules at 300 K is 1930 m s-1. The rms velocity of oxygen molecules at 1200 K will be

Question

The root mean square velocity of hydrogen molecules at 300 K is 1930 m s-1. The rms velocity of oxygen molecules at 1200 K will be (A) 965 m s-1 (B) 765 m s-1 (C) 1065 m s-1 (D) 865 m s-1

Tardigrade Admin · Accepted Answer

upsilonrms = propto√T / M ∴ ( upsilonO)rms = √(TO / MO/TH / MH) = √(TO/TH)×(MH/MO) ( upsilon H)rms = √(1200/300)×(2/32) = (1/2) ∴ ( upsilon O)rms =(1/2) upsilon H = (1/2)×1930 = 965 m s-1

Q. The root mean square velocity of hydrogen molecules at $300 K$ is $1930 m s^{- 1}$ . The rms velocity of oxygen molecules at $1200 K$ will be

$965 m s^{- 1}$

$765 m s^{- 1}$

$1065 m s^{- 1}$

$865 m s^{- 1}$

Q. The root mean square velocity of hydrogen molecules at 300K is 1930ms−1. The rms velocity of oxygen molecules at 1200K will be

965ms−1

765ms−1

1065ms−1

865ms−1

υrms​=∝T/M​ ∴(υO​)rms​=TH​/MH​TO​/MO​​​=TH​TO​​×MO​MH​​​ (υH​)rms​=3001200​×322​​=21​ ∴(υO​)rms​=21​υH​=21​×1930=965ms−1

Q. The root mean square velocity of hydrogen molecules at $300 K$ is $1930 m s^{- 1}$ . The rms velocity of oxygen molecules at $1200 K$ will be

$965 m s^{- 1}$

$765 m s^{- 1}$

$1065 m s^{- 1}$

$865 m s^{- 1}$