For the inversion of sucrose, $\mathrm{C}{}_{12}\mathrm{H}{}_{22}\mathrm{O}{}_{11}+\mathrm{H}{}_2\mathrm{O}\to \mathrm{glucose}+\mathrm{fructose}$, in dilute acid (specific rotations in a common unit: sucrose $+66.5$, glucose $+52.7$, fructose $-92.4$), which statements are correct?

1. APer mole of sucrose, the final mixture has a specific rotation of $-39.7$ in the same units, i.e. it is laevorotatory
2. BA plot of $\ln (r_t-r_{\infty })$ against $t$ is a straight line of slope $-k$
3. CThe pseudo-first-order constant is independent of the concentration of the acid catalyst
4. DThe reaction is pseudo-first-order in sucrose because water is in large excess