question_answer 31)

                  Two molecules of a gas have speed of \[9\times {{10}^{6}}\,m\,{{s}^{-1}}\] and \[1\times {{10}^{6}}\,m\,{{s}^{-1}}\], respectively. What is the root mean square speed of these molecules?

Answer:

                  \[c=\,\frac{\upsilon _{1}^{2}+\,\upsilon _{2}^{2}}{2}\,\,\,\sqrt{\frac{82\times \,{{10}^{12}}}{2}}\]                 \[=6.4\times {{10}^{6}}m\text{ }{{s}^{1}}\]