\( \mathrm{aA}+\mathrm{bB} \longrightarrow \) Product, dx/dt \( =\mathrm{k}[\mathrm{A}]^{\mathrm{a}}[\mathrm{B}]^{\mathrm{b}} \). If
P concentration of \( \mathrm{A} \) is doubled, rate is four times. If
W concentration of \( \mathrm{B} \) is made four times, rate is doubled. What is relation between rate of disappearance of \( \mathrm{A} \) and that of \( B \) ?
(1) \( -\{\mathrm{d}[\mathrm{A}] / \mathrm{dt}\}=-\{\mathrm{d}[\mathrm{B}] / \mathrm{dt}\} \)
(2) \( -\{\mathrm{d}[\mathrm{A}] / \mathrm{dt}\}=-\{4 \mathrm{~d}[\mathrm{~B}] / \mathrm{dt}\} \)
(3) \( -\{4 \mathrm{~d}[\mathrm{~A}] / \mathrm{dt}\}=-\{\mathrm{d}[\mathrm{B}] / \mathrm{dt}\} \)
(4) None of these
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