A) \[2/3\text{ }log2\]
B) \[~2/3\text{ }log\text{ }4\]
C) \[~3/2\text{ }log\,2\]
D) \[~3/2\text{ }log\text{ }4\]
Correct Answer: A
Solution :
For first order reaction, \[k=\frac{2.303}{t}\log \left( \frac{a}{a-x} \right)\] \[6.909=\frac{2.303}{t}\log \frac{100}{100-75}\] \[t=\frac{1}{3}\log \frac{100}{25}\] \[=\frac{1}{3}\log 4=\frac{1}{3}\log {{2}^{2}}\] \[=\frac{2}{3}\log \,2\]
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