• # 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)  $50\,{{L}^{2}}\,mo{{l}^{-2}}{{s}^{-1}}$

Rate$=K{{[A]}^{3}}\Rightarrow k=\frac{5\times {{10}^{-2}}}{{{(0.1)}^{3}}}=50{{L}^{2}}mo{{l}^{-2}}{{s}^{-1}}$