The molecules of a given mass of a gas have a r.m.s. velocity of 200 m/sec at \[27{}^\circ C\] and \[1.0\times {{10}^{5}}\,N/{{m}^{2}}\] pressure. When the temperature is \[127{}^\circ C\]and pressure is \[0.5\times {{10}^{5}}\,N/{{m}^{2}}\], the r.m.s. velocity in m/sec will be

• A. \[\frac{100\sqrt{2}}{3}\]
• B. \[100\sqrt{2}\]
• C. \[\frac{400}{\sqrt{3}}\]
• D. None of the above