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For a reaction $3A\rightarrow2B$ The average rate of appearance of B is given by $\dfrac{\Delta[B]}{\Delta t}$. The correct relation between the average rate of appearance of B with the average rate of disappearance of A is given in option:
A
$\dfrac{-\Delta[A]}{\Delta t}$
B
$\dfrac{-3\Delta[A]}{2\Delta t}$
C
$\dfrac{-2\Delta[A]}{3\Delta t}$
D
$\dfrac{\Delta[A]}{\Delta t}$
Detailed Solution
$r=-\dfrac{1}{3}\dfrac{\Delta[A]}{\Delta t}=+\dfrac{1}{2}\dfrac{\Delta[B]}{\Delta t}\Rightarrow\dfrac{\Delta[B]}{\Delta t}=-\dfrac{2}{3}\dfrac{\Delta[A]}{\Delta t}$.