States of Matter - Result Question 27

####27. The root mean square speeds at STP for the gases H2,N2,O2 and HBr are in the order: [1991]

(a) H2<N2<O2<HBr

(b) HBr<O2<N2<H2

(c) H2<N2=O2<HBr

(d) HBr<O2<H2<N2.

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Solution:

(b) PV=13mNu2=13Mu2

or u=3PV/M.

At STP, u1M

i.e. higher will be the molar mass, lower will be the value of urms.

Molecular masses of H2,N2,O2 and HBr are 2, 28, 32 and 81. Hence the correct order of urms will be HBr<O2<N2<H2



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