Question

Benzene diazonium chloride (A) decomposes into chloro-benzene (B) and ${\text{N}}_{\text{2}}\left(\text{g}\right)$ in first order reaction volume of ${\text{N}}_2$ collected after 5 min and at the complete decomposition of A are 10 ml and 50 ml respectively. The rate constant for the reaction is:

• A. 0.446 ${min}^{-1}$
• B. 0.0446 ${min}^{-1}$
• C. 0.223 ${min}^{-1}$
• D. 0.112 ${min}^{-1}$

Answer 1

The correct option is B 0.0446 ${min}^{-1}$

t = 0

$\underset{50}{\text{A}}\to \underset{0}{\text{B}}+\underset{0}{{\text{N}}_2}$

At t = 5 min. 50 - 10 10 ml

t = complete 50 ml

$\ln =\left(\frac{50}{40}\right)={\kappa }_1\times 5$

$\frac{0.223}{5}={\kappa }_1\Rightarrow 0.0446{min}^{-1}$

Hence, option (B) is correct.