A) \[-\frac{3}{2}\frac{d[A]}{dt}\]
B) \[-\frac{2}{3}\frac{d[A]}{dt}\]
C) \[-\frac{1}{3}\frac{d[A]}{dt}\]
D) \[+2\frac{d[A]}{dt}\]
Correct Answer: B
Solution :
\[3A\xrightarrow{{}}2B\] Rate\[=-\frac{1}{3}\frac{d[A]}{dt}=\frac{1}{2}\frac{d[B]}{dt}\] Multiply both rates by 2 Rate\[=2\left[ -\frac{1}{3}\frac{d[A]}{dt} \right]=\frac{d[B]}{dt}\] \[=\frac{-2}{3}\frac{d[A]}{dt}=\frac{d[B]}{dt}\]
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