The molecular weight of H2 and O2 are 2and 32 respectively. The rms velocity of H2 molecule at N.T.P. is 2000 m/s. What is the rms velocity of oxygen molecules at N.T.P?
Answer (1)
15th Jan, 2021
Dear student,
At NTP, pressure is 1atm. Now, rms velocity of H2 is 2000m/s
Let v1 = rms velocity of H2 and v2 be the rms velocity of O2.
Rms velocity = (3RT/M)^1/2 { M = molar mass }
Let M1=molar mass ofH2 = 2g /mol
and that of oxygen(O2) = M2 = 32g/moL
So, v1 = (3RT/2)^1/2
And v2 = (3RT/32)^1/2
so dividingv1 by v2
2000 / v2 = (16)^1/2
So, v2 = 500 m/s
So, Rms velocity of oxygen is 500m/s.
At NTP, pressure is 1atm. Now, rms velocity of H2 is 2000m/s
Let v1 = rms velocity of H2 and v2 be the rms velocity of O2.
Rms velocity = (3RT/M)^1/2 { M = molar mass }
Let M1=molar mass ofH2 = 2g /mol
and that of oxygen(O2) = M2 = 32g/moL
So, v1 = (3RT/2)^1/2
And v2 = (3RT/32)^1/2
so dividingv1 by v2
2000 / v2 = (16)^1/2
So, v2 = 500 m/s
So, Rms velocity of oxygen is 500m/s.
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