For an elementary reaction 2A + B longrightar | vedclass

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(D) The rate of reaction for $2A + B \longrightarrow 3C$ is given by: $	ext{Rate} = -\frac{1}{2} \frac{d[A]}{dt} = -\frac{d[B]}{dt} = \frac{1}{3} \fr

Vedclass · Accepted Answer

$8.66 	imes 10^{-5} \ mol \ L^{-1} \ s^{-1}$

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(D) The rate of reaction for $2A + B \longrightarrow 3C$ is given by: $	ext{Rate} = -\frac{1}{2} \frac{d[A]}{dt} = -\frac{d[B]}{dt} = \frac{1}{3} \frac{d[C]}{dt}$.Given,the rate of appearance of $C$ is $\frac{d[C]}{dt} = 1.3 	imes 10^{-4} \ mol \ L^{-1} \ s^{-1}$.From the rate expression,$-\frac{1}{2} \frac{d[A]}{dt} = \frac{1}{3} \frac{d[C]}{dt}$.Therefore,the rate of disappearance of $A$ is $-\frac{d[A]}{dt} = \frac{2}{3} \frac{d[C]}{dt}$.$-\frac{d[A]}{dt} = \frac{2}{3} 	imes (1.3 	imes 10^{-4} \ mol \ L^{-1} \ s^{-1}) = 0.866 	imes 10^{-4} \ mol \ L^{-1} \ s^{-1} = 8.66 	imes 10^{-5} \ mol \ L^{-1} \ s^{-1}$.

For an elementary reaction $2A + B \longrightarrow 3C$,the rate of appearance of $C$ is $1.3 \times 10^{-4} \ mol \ L^{-1} \ s^{-1}$. The rate of disappearance of $A$ is:

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