$Zn(s) + Cu^{2+}(M) \to Zn^{2+}(M') + Cu(s);$ $E^o _{cell} = 1.10\,V$
$X$-axis :$log_{10}$ $\frac{{[Z{n^{2 + }}]}}{{[C{u^{2 + }}]}}$, $Y$ -axis : $E_{cell}$
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The half-life period is independent of the concentration of zinc at constant $pH$. For the constant concentration of $Zn$, the rate becomes $100$ times when $pH$ is decreased from $3\, to\, 2$. Identify the correct statements $(pH = -\log [H^{+}])$
$(A)$ $\frac{{dx}}{{dt}}\, = k{[Zn]^0}{[{H^ + }]^2}$
$(B)$ $\frac{{dx}}{{dt}}\, = k{[Zn]}{[{H^ + }]^2}$
$(C)$ Rate is not affected if the concentraton of zinc is made four times and that of $H^+$ ion is halved.
$(D)$ Rate becomes four times if the concentration of $H^+$ ion is doubled at constant $Zn$ concentration