CLO$-1,2$

$(25\%)$ Q$1.$ Consider the system shown in Fig. Q$1.$ If a change of $0\mathrm{.}7$ kPa in the pressure of air causes the brine$-$mercury interface in the right column to drop by $5$ mm in the brine level in the right column while the pressure in the brine pipe remains constant, determine the ratio of $\frac{A_2}{A_1}.$

Hint: Specific Gravity is defined $,SG=\frac{}{{}_{\text{w}\text{u}\text{t}\text{e}\text{r}}}$ as $S{G}_{\text{m}\text{e}\text{r}\text{c}\text{u}\text{r}\text{y}}=13\mathrm{.}56$ and $S{G}_{\text{b}\text{r}\text{i}\text{n}\text{e}}=1\mathrm{.}1$