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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?


SHIVANI GAUR 15th Jan, 2021
Answer (1)
ARYAN SAGAR 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.

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