For the reaction A + B rightarrow C,experimen | vedclass

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Question

(A) The rate law for the reaction is given by $V_f = k[A]_0^x$,where $x$ is the order of the reaction with respect to $A$.Taking the logarithm on both

Vedclass · Accepted Answer

$\frac{2}{3}$

Vedclass · Answer

(A) The rate law for the reaction is given by $V_f = k[A]_0^x$,where $x$ is the order of the reaction with respect to $A$.Taking the logarithm on both sides,we get $\log V_f = \log k + x \log [A]_0$.This is in the form of a straight-line equation $y = mx + c$,where the slope $m = x$.From the graph,we can calculate the slope using two points: $(6, 7)$ and $(12, 11)$.Slope $x = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 - 7}{12 - 6} = \frac{4}{6} = \frac{2}{3}$.Therefore,the order of the reaction with respect to $A$ is $\frac{2}{3}$.

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