If r.m.s speed of molecule of hydrogen at N.T.P is 2 km/sec., then what is r.m.s speed of oxygen molecules at N.T.P?

Solution

Given,
r.m.s speed of molecule of hydrogen at NTP = 2 km/sec
Find - rms speed of oxygen molecule at NTP?

RMS speed of molecules is given by,

v_{rms} = \sqrt{\frac{3 RT}{M}}

∴

\frac{(v_{r})_{H_{2}}}{(v_{r})_{o_{2}}} = \sqrt{\frac{M_{o_{2}}}{M_{H_{2}}}} = \sqrt{\frac{32}{2}} = 4

∴

(v_{r})_{o_{2}} = \frac{1}{4} (v_{r})_{H_{2}} = 0.5 km / \sec

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