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  • The molecules of a given mass of gas have rms speed at <img alt="27^{\

The molecules of a given mass of gas have rms speed 200 \mathrm{~ms}^{-1}at 27^{\circ} \mathrm{C} and 105 \mathrm{Nm}^{2} pressure. When the absolute temperature is doubled and the pressure is halved, the rms speed of the molecules of the same gas is

Option: 1

200 \mathrm{~ms}^{-1}


Option: 2

400 \mathrm{~ms}^{-1}


Option: 3

200 \sqrt{ } 2 \mathrm{~ms}^{-1}


Option: 4

400 \sqrt{ } 2 \mathrm{~ms}^{-1}


Answers (1)

best_answer

\mathrm{v_{\mathrm{rms}} \propto \sqrt{T}}. If temperature is doubled rms speed will become \mathrm{\sqrt{2} v_{\mathrm{rms}}} times.

\mathrm{\Rightarrow \quad v_{\mathrm{rms}}=200 \sqrt{2} \mathrm{~ms}^{-1}}

Posted by

sudhir.kumar

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