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The molecules of a given mass of a gas have r.m.s. velocity of \( 200 \mathrm{~m} \mathrm{~s}^{-1} \) at \( 27^{\circ} \mathrm{C} \) and \( 1.0 \times 10^{5} \mathrm{~N} \mathrm{~m}^{-2} \)
\( \mathrm{P} \) pressure. When the temperature and pressure of the

WV gas are respectively, \( 127^{\circ} \mathrm{C} \) and \( 0.05 \times 10^{5} \mathrm{~N} \mathrm{~m}^{-2} \), the r.m.s. velocity of its molecules in \( \mathrm{m} \mathrm{s}^{-1} \) is
(a) \( \frac{100 \sqrt{2}}{3} \)
(b) \( \frac{100}{3} \)
(c) \( 100 \sqrt{2} \)
(d) \( \frac{400}{\sqrt{3}} \)
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