Question

At the point of intersection of the two curves shown, calculate the concentration of $B$ in the first order reaction $A\to nB.$

• A. $\frac{\text{n}{\text{A}}_0}{2}$
• B. $\frac{{\text{A}}_0}{\text{n - 1}}$
• C. $\frac{\text{n}{\text{A}}_0}{\text{n}+1}$
• D. $\left(\frac{\text{n}-1}{\text{n}+1}\right){\left(\text{ A}\right)}_0$

Answer 1

Answer: (C)

According to question, at intersection point $\Rightarrow [A]=[B]$
$\begin{array}{l}\Rightarrow A_0-x=nx\\ \Rightarrow A_0=(n+1)x\\ \Rightarrow x=\frac{A_0}{n+1}\end{array}$
$[B]=nx$
$=\left(\frac{n\times A_0}{n+1}\right)$