question_answer

For a third order reactions: \[3X\xrightarrow{{}}Y+Z\]the initial rate is \[5\times {{10}^{-~2}}mol\,{{L}^{-1}}\,{{S}^{-1}}\] when the cone. of X is\[0.1\text{ }mol\text{ }{{L}^{-1}}\]. The value of rate constant for the reaction is :-

A)  \[5\times {{10}^{-2}}\text{ }{{L}^{2}}\text{ }mo{{l}^{-2}}{{s}^{-1}}\]

B)  \[5\times {{10}^{-3}}\text{ }{{L}^{2}}\text{ }{{s}^{-1}}\]

C)  \[5\times {{10}^{-4}}{{L}^{2}}\,mo{{l}^{-2}}{{s}^{-1}}\]

D)  \[50\,{{L}^{2}}\,mo{{l}^{-2}}{{s}^{-1}}\]