The molecules of a given mass of a gas have root mean square speeds of \[100\,m{{s}^{-1}}\] at \[27{}^\circ C\] and 1.00 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at \[127{}^\circ C\] and 2.0 atmospheric pressure?

• A. \[\frac{150}{\sqrt{3}}m/s\]       
• B. \[\frac{125}{\sqrt{3}}m/s\]
• C. \[\frac{200}{\sqrt{3}}m/s\]       
• D. \[100\sqrt{3}m/s\]