Question

For a reaction: $XA\to YB$, if $log[-\frac{dA}{dt}]=log\left[\frac{dB}{dt}\right]+0.3$, then the ratio of Y:X is:

• A. 1/2
• B. 2
• C. 1/3
• D. 3

Answer 1

The correct option is A 1/2

From given,
$-\frac{1}{X}\frac{d\left[A\right]}{dt}=\frac{1}{Y}\frac{d\left[B\right]}{dt}$
$log-\frac{d\left[A\right]}{dt}=log\frac{d\left[B\right]}{dt}+log\frac{X}{Y}$
$\therefore log\frac{X}{Y}=0.3$
$\frac{X}{Y}=2.0$