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BITSAT 2013
Exam
BITSAT
Year
2013
Subject
Chemistry
Chapter
States of Matter

BITSAT 2013 · Chemistry · States of Matter

Increasing order of rms velocities of H_ 2 , O_ 2 , N_ 2 and HBr is

Increasing order of rms velocities of H2,O2,N2\mathrm{H}_{2}, \mathrm{O}_{2}, \mathrm{ N}_{2} and HBr\mathrm{HBr} is

Options

  1. AH2>O2>N2>HBr\mathrm{H}_{2} > \mathrm{O}_{2} > \mathrm{N}_{2} > \mathrm{HBr}
  2. BHBr<O2<N2<H2\mathrm{HBr}< \mathrm{O}_{2}< \mathrm{N}_{2}< \mathrm{H}_{2}
  3. CH2>N2<O2>HBr\mathrm{H}_{2} > \mathrm{N}_{2}< \mathrm{O}_{2} > \mathrm{HBr}
  4. DHBr>N2<O2<H2\mathrm{HBr} > \mathrm{N}_{2}< \mathrm{O}_{2}< \mathrm{H}_{2}

Correct answer

B. HBr<O2<N2<H2\mathrm{HBr}< \mathrm{O}_{2}< \mathrm{N}_{2}< \mathrm{H}_{2}

Step-by-step solution

RMS velocity of molecules depends on mass. If mol. wt. increases, rms velocity of melocules decreases. rms∝1m⋅wt\mathrm{rms} \propto \frac{1}{\sqrt{\mathrm{m} \cdot \mathrm{wt}}} The order of increasing m.wt\mathrm{m}. \mathrm{wt}. is H2<N2<O2<HBr\mathrm{H}_{2}< \mathrm{N}_{2}< \mathrm{O}_{2}< \mathrm{HBr} Order of VmxV_{\mathrm{mx}} of molecules. HBr<O2<N2<H2\mathrm{HBr}< \mathrm{O}_{2}< \mathrm{N}_{2}< \mathrm{H}_{2}
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