Question

In presence of $HCl$, sucrose gets hydrolysed into glucose and fructose. The concentration of sucrose was found to reduce from $0.4M$ to $0.2M$ in $1$ hour $0.1M$ in $2$ hours. the order of the reaction is

• A. Zero
• B. One
• C. Two
• D. None of these

Answer 1

The correct option is B One

Using the formula

$k=\frac{2.303}{t}\log \frac{{\left[A\right]}_o}{{\left[A\right]}_t}$

In one hour

$k=\frac{2.303}{1}\log \left[\frac{0.4}{0.2}\right]$

$=0.6933{hour}^{-1}$

In two hour

$k=\frac{2.303}{2}\log \left[\frac{0.4}{0.1}\right]$

$k=0.6933{hour}^{-1}$

Since rate constant K is same, we know that the reaction is of order 1.

Hence, the correct option is $B$