Fluid properties

$1.$ Define absolute pressure

$2.$ Define absolute and gauge pressure

$3.$ List at least three ways to improve the sensitivity of a manometer

$4.$ List at least two ways in which the sensitivity to pressure change for a U$-$tube manometer can be improved

$5.$ Use a well labelled schematic diagram to demonstrate how the sensitivity of a utube manometer can be improved, particularly for a small pressure difference

$6.$ Show that for any fluid at rest and under gravitational acceleration, pressure $($P$)$ decreases, with increasing height $\backslash (($z$)\backslash )$ in the upward direction.

$7.$ "The absolute pressure in a liquid of constant density doubles when the depth is doubled." Qualify the statement above as true or false with an explanation.

$8.$ In a pipeline water is flowing. A monometer is used to measure the pressure drop for flow through the pipe. The difference in level was found to be $20$ cm $.$ If the manometric fluid is $\backslash (\backslash$mathrm$\{$CCl$\}\_\{4\}\backslash ),$ determine the pressure drop in S $.$I units $(\backslash (\backslash$rho$\_\{$C C l$\_\{4\}\}=1\mathrm{.}596\backslash )\backslash (\backslash$mathrm$\{$g$\}/\backslash$mathrm$\{$cm$\}^\{3\}\backslash )).$ If the manometric fluid is changed to mercury $(\backslash (\backslash$left$.\backslash$rho$\_\{\backslash$mathrm$\{$Hg$\}\}=13\mathrm{.}6\backslash$mathrm$\{$~g$\}/\backslash$mathrm$\{$cm$\}3\backslash$right$)\backslash )$ calculate the difference in level?