In the chemical reaction \(A \rightarrow B\), what is the order of the reaction? Given that, the rate of…
In the chemical reaction \(A \rightarrow B\), what is the order of the reaction? Given that, the rate of reaction doubles if the concentration of \(A\) is increased four times.
2
1.5
0.5
1
Solution
We know, \(r_1=k[A]^n\) ...(i)
\(r_2=2 r_1=k[4 A]^n\) ...(ii)
Divide Eq. (ii) by (i).
\(\begin{aligned}
& & (2)^1 & =(4)^n=(2)^{2 n} \\
& & 2 n & =1 \\
\Rightarrow & & n & =\frac{1}{2}=0.5
\end{aligned}\)
Hence, the correct option is (c).