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Topic: Kinetic interpretation of temperature, RMS speed· Kinetic Theory of Gases

The molecules of a given mass of a gas have r.m.s. velocity of 200\ ms^-1 at 27^° C and 1.0×10^5\ Nm^-2 pressure. When the temperature and pressure of the gas are respectively, 127^° C and 0.05×10^5\ Nm^-2, the r.m.s. velocity of its molecules in ms^…

The molecules of a given mass of a gas have r.m.s. velocity of \(200\ ms^{-1}\) at \(27^\circ C\) and \(1.0\times10^{5}\ Nm^{-2}\) pressure. When the temperature and pressure of the gas are respectively, \(127^\circ C\) and \(0.05\times10^{5}\ Nm^{-2}\), the r.m.s. velocity of its molecules in \(ms^{-1}\) is :

1. \(100\sqrt{2}\)

2. \(\frac{400}{\sqrt{3}}\)

3. \(\frac{100\sqrt{2}}{3}\)

4. \(\frac{100}{3}\)

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