Reaction $aA + bB\,\to $ product. The rate of reaction $= k[A]^3\, [B]^0$ if the concentration of $A$ is double and concentration of $B$ is half the rate will be ?

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$8$ times

Initially rate $=\mathrm{k}[\mathrm{A}]^{x}[\mathrm{~B}]^{y}=[\mathrm{A}]^{3}[\mathrm{~B}]^{0}=[\mathrm{A}]^{3}$

Concentration of $\mathrm{A}=$ double $=2 \mathrm{~A}$

Concentration of $\mathrm{B}=$ half $=\frac{\mathrm{B}}{2}$

Rate $=[2 \mathrm{~A}]^{3}\left[\frac{\mathrm{B}}{2}\right]^{0}$

$=8 \mathrm{~A}^{3}$

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$1$ $0.012$ $0.035$ $0.10$
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$4$ $0.012$ $0.070$ $0.80$