QUESTION ONE $(1).$

$($a$)$ Define each of the following:

$($i$)$ Open channel;

$($ii$)$ Specific gravity of a fluid; and

$($iii$)$ Wetted perimeter of a channel

$($b$)$ If the specific gravity of of some liquid weighs calculate the specific weight, density, specific volume, and specific gravity.

$($c$)$ Taking Chezy's constant $($C$)$ as $60,$ calculate the velocity of flow and discharge for a rectangular channel $5m$ wide and $2m$ deep and laid at a slope of $1$ in $5000.$

QUESTION TWO $(2).$

$($a$)$ Write down a mathematical relationship for the following pairs of fluid properties:

$($i$)$ Mass density $()$ and specific weight $()$; and

$($ii$)$ Specific volume $)$ and mass density $()$

$($b$)$What is a channel of best section?

$($c$)$ Derive an equation for the hydraulic radius of a rectangular channel of best section.

$($d$)$The specific volume of a gas is $0\mathrm{.}90\frac{m^3}{k}g$ and $30m^3$ of oil weighs $98\mathrm{.}81KN.$ Calculate:

$($i$)$ The specific weights of the gas;

$($ii$)$ The specific weight of oil; and

$($iii$)$ The mass density of the gas.