question_answer

The molecules o f a given mass o f a gas have r.m.s. velocity of \[\text{200}\,\text{m}{{\text{s}}^{-1}}\] at \[27{{\,}^{o}}C\]and \[1.0\times {{10}^{5}}\,\text{N}{{\text{m}}^{-2}}\] pressure. When the temperature and pressure of the gas are respectively, \[\text{127}{{\,}^{\text{o}}}\text{C}\]and\[\text{0}\text{.05}\times {{10}^{5}}\,\text{N}{{\text{m}}^{-2}},\] the r. m. s. velocity of its molecules in \[\text{m}{{\text{s}}^{1}}\]is :                                                                                                     

A)  \[100\sqrt{2}\]                

B)  \[\frac{400}{\sqrt{3}}\]

C)   \[\frac{100\sqrt{2}}{3}\]                            

D)   \[\frac{100}{3}\]