A) 20 min
B) 33 min
C) 15 min
D) 25 min
Correct Answer: B
Solution :
\[{{x}_{(g)}}\to {{y}_{(g)}}+{{z}_{(g)}}\] The reaction is a first order reaction hence, \[K=\frac{0.693}{{{t}_{1/2}}}=\frac{2.303}{t}\log \frac{a}{a-x}\] \[=\frac{0.693}{10\ \min }\] \[=\frac{2.303}{t}\log \frac{a}{a/10}\]\[=\frac{0.693}{10}=\frac{2.303}{t}\log 10\] \[\therefore \ \ t=\frac{2.303\times 10}{.693}=33\min \].
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