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  • At , the root  meas square ( 2MS) speed at gas [Molar Mass

At \mathrm{600 \mathrm{~K}}, the root  meas square ( 2MS) speed at gas [Molar Mass \mathrm{= 20}]. Is  to the most probable speed of gas B at \mathrm{90\, K}.
The Molar Mass at B is _______ \mathrm{g\, mol^{-1}}

Option: 1

2\, \mathrm{g\, mol}^{-1}


Option: 2

4\, \mathrm{g\, mol}^{-1}


Option: 3

6\, \mathrm{g\, mol}^{-1}


Option: 4

8\, \mathrm{g\, mol}^{-1}


Answers (1)

best_answer

The Root meas square velocity

\mathrm{\text { Dams }=\sqrt{\frac{3 R}{M} T}}

The most probable speed
\mathrm{v M P=\sqrt{\frac{2 R T}{M}} \quad T =\text { Temperature in kelvin}}
                                      \mathrm{M =\text { Molar\, Mass}}

\mathrm{ \frac{\text { Vrms at } A}{\text { vaMs } at\, +B}=\sqrt{\frac{3 A T A M B}{2 A T_{B} M A}} }
\mathrm{ 1=\sqrt{\frac{3 \times 6^{2}}{2 \times x_{3}} \times M^{M} \times{ }^{M} B}=\sqrt{\frac{M B}{4}} }

So \mathrm{ M B=4 \mathrm{~g}\, \mathrm{Mol}^{-1} }

Posted by

sudhir.kumar

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