Question

The conversion of vinyl allyl ether to pent-4-enol follows first-order kinetics. The following plot is obtained for such a reaction. The rate constant for the reaction is :

• A. 4.6 x ${10}^{-2}{s}^{-1}$
• B. 1.2 x ${10}^{-2}{s}^{-1}$
• C. 2.3 x ${10}^{-1}{s}^{-1}$
• D. 8.4 x ${10}^{-2}{s}^{-1}$

Answer 1

The correct option is A 4.6 x ${10}^{-2}{s}^{-1}$

For first order kinetics, $K=\frac{2.303}{t}[\log a_{\circ }-\log (a-x\left)\right]$

Hence, $\log (a-x)=\log a_{\circ }-\frac{Kt}{2.303}$

Slope $=\frac{-K}{2.303}=\frac{-1}{10}$

$\therefore K=2.303\times {10}^{-1}{s}^{-1}$