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For following data for hydrolysis of benzene diazonium chloride $C_6H_5-N=N-Cl+H_2O\rightarrow C_6H_5OH+HCl+N_2(g)$, What is the first order calculate rate constant?

Time(min) 0 2 8 16 24 50 $\infty$
Pressure(P) of $N_2$ at constant volume 0 1.6 6.2 11.2 15.5 24.4 34

 

$\begin{array}{1 1}(a)\;3.8\times 10^{-2}min^{-1}\\(b)\;2.62\times 10^{-2}min^{-1}\\(c)\;3.4\times 10^{-2}min^{-1}\\(d)\;2.49\times 10^{-2}min^{-1}\end{array}$

Can you answer this question?
 
 

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$a\propto (P_{\infty}-P_0)\propto 34$
$(a-x)\propto (P_{\infty}-P_t)$
$k_1=\large\frac{1}{t}$$ln\large\frac{a}{a-x}$
The average value will be $k=2.49\times 10^{-2}min^{-1}$
Hence (d) is the correct answer.
answered Dec 19, 2013 by sreemathi.v
 

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