Question

For an elementary reaction, $X\left(g\right)\to Y\left(g\right)+Z\left(g\right)$: the half life period is $10min$. In what period of time would the concentration of $X$ be reduced to $10$ of original concentration ?

• A. $20min$
• B. $33min$
• C. $15min$
• D. $25min$

Answer 1

The correct option is B $33min$

Since it is clearly first order reaction
$⟹t=\frac{2.303\times 10}{0.693}\log \frac{\left[100\right]}{\left[10\right]}$
$⟹t=33Min.$