Question

The initial concentration of sugar solution is $0.12M$. On doing fermentation the concentration of sugar decreases to $0.06M$ in $10h$ and to $0.045M$ to $15h$. The order of the reaction is:

• A. $0.5$
• B. $1.0$
• C. $1.5$
• D. $2.0$

Answer 1

The correct option is B $1.0$

To determine the order of the reaction, Van't Hoff differential method is used.

$n=\frac{log(-\frac{d{C}_1}{dt})-log(-\frac{d{C}_2}{dt})}{log{C}_1-log{C}_2}$
$n=\frac{log(-\frac{0.06-0.12}{10})-log(-\frac{0.045-0.06}{5})}{log0.12-log0.06}$
$n=\frac{-2.222-(-2.522)}{-0.921-(-1.222)}$
$n=\frac{0.301}{0.301}$
$n=1$
Hence, the order of the reaction is 1