A) \[50\,{{L}^{2}}mo{{l}^{-2}}{{s}^{-1}}\]
B) \[5\times {{10}^{-3}}L\,mo{{l}^{-1}}{{s}^{-1}}\]
C) \[5\times {{10}^{-2}}{{L}^{2}}\,mo{{l}^{-2}}{{s}^{-1}}\]
D) \[5\times {{10}^{-3}}{{L}^{2}}mo{{l}^{-2}}{{s}^{-1}}\]
Correct Answer: D
Solution :
For a third order reaction, \[k=\frac{3}{2\times {{t}_{1/2}}\times {{a}^{2}}}\] where, k = rate constant a = initial concentration of reactant Given, \[{{t}_{1/2}}=8\,h\,20\,\min =30000\,s\] \[a=0.1\,M\] \[\therefore \] \[k=\frac{3}{2\times 30000\times 0.1\times 0.1}\] \[=5.0\times {{10}^{-3}}{{L}^{2}}\,mo{{l}^{-2}}{{s}^{-1}}\]
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