$($a$)$ Does Bernoulli's equation account for losses in fluid flow? $(1$ mark$)$

$($b$)$ What are the forms of energy that are accounted for in Bernoulli's equation? $(\backslash (\backslash$mathbf$\{3\}\backslash )$ marks$)$

$($c$)$ A venturi flow meter as illustrated below is being used to determine the flow rate flowing through a pipe section. Water with a density of $\backslash (\backslash$rho$\_\{\backslash$mathrm$\{$w$\}\}=1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash )$ is flowing through the pipe and the specific gravity of the manometer fluid $($mercury$)$ is $\backslash (\backslash$mathrm$\{$SG$\}\_\{\backslash$mathrm$\{$m$\}\}=13\mathrm{.}54\backslash )$

$($i$)$ Using the manometer, determine the pressure difference between the points A and B $(5$ marks$)$

$($ii$)$ Calculate the velocity of the water in the $200$ mm section of the pipe assuming there are no losses $(7$ marks$)$

$($iii$)$ What is the volumetric flow rate in $\backslash (\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )?(2$ marks$)$

$($iv$)$ What is the mass flow rate in $\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$s$\}\backslash )?(2$ marks$)$