Chemistry - Chemical Kinetics Question with Solution | TestHub

$\frac{1}{2}\text{A}\to 2\text{B}$

Remember for$\text{a}\text{A}\to \text{b}\text{B}$

$-\frac{1}{\text{a}}\frac{\text{d}\left[\text{A}\right]}{\text{d}\text{t}}=\frac{1}{\text{b}}\frac{\text{d}\left[\text{B}\right]}{\text{d}\text{t}}$= Rate of reaction

For the given reaction

$-\frac{2\text{d}\left[\text{A}\right]}{\text{d}\text{t}}=\frac{1}{2}\frac{\text{d}\left[\text{B}\right]}{\text{d}\text{t}}$=rate of reaction

Rate of disappearance of A

$=-\frac{\text{d}\left[\text{A}\right]}{\text{d}\text{t}}=\frac{1}{2\times 2}\frac{\text{d}\left[\text{B}\right]}{\text{d}\text{t}}$

$=\frac{1}{4}\frac{\text{d}\left[\text{B}\right]}{\text{d}\text{t}}$