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  • The temperature at which oxygen molecule Have the same Root mean square speed as Helium atom have 600 K ?Option: 1 4800 K<div

The temperature at which oxygen molecule Have the same Root mean square speed as Helium atom have 600 K ?

Option: 1

4800 K


Option: 2

2400 K


Option: 3

2600 K


Option: 4

4600 K


Answers (1)

best_answer

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

\mathrm{\begin{aligned} & V(\mathrm{He})=\sqrt{\frac{3 \times R \times 600}{4}} \\ & V\left(\mathrm{O}_2\right)=\sqrt{\frac{3 \times R \times \mathrm{TO}_2}{32}} \\ & V(\mathrm{He})=V\left(\mathrm{O}_2\right) \end{aligned}}

\mathrm{\begin{aligned} \frac{600}{4} & =\frac{TO_{2}}{32} \\ \mathrm{TO}_2 & =\frac{600}{4} \times 32 \\ & =4800 \mathrm{k} \end{aligned}}

Posted by

Ajit Kumar Dubey

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