A) \[2\,\,\times \,\,{{10}^{4}}~\]
B) \[3.45\times {{10}^{-}}^{5}\]
C) \[1.386\times {{10}^{-}}^{2}\]
D) \[2\,\,\times \,\,{{10}^{-}}^{4}\]
Correct Answer: C
Solution :
\[k=\frac{2.303}{t}\,{{\log }_{10}}\,\frac{a}{a-x}\] \[t=2\times {{10}^{2}},\,\,\,a=800,\,\,\,a-x=50\] \[k=\frac{2.303}{2\times {{10}^{2}}}{{\log }_{10}}\,\frac{800}{50}\,\,=\,\,\frac{2.303}{2\times {{10}^{2}}}\,{{\log }_{10}}\,16\] \[=\frac{2.303}{2\times {{10}^{2}}}{{\log }_{10}}\,{{2}^{4}}=\,\,\frac{2.303}{2\times {{10}^{4}}}\times \,4\times 0.301\] \[=1.38\times {{10}^{-2}}\,{{s}^{-1}}\]
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