SECTION C: Pressure

Liquids $A,B$ and $C$ are used in the manometer shown in the figure below in order to relate the pressure difference to the difference in manometer fluid levels.

Derive an expression of the pressure difference $P_1-P_2$ in terms of ${}_A,{}_B,{}_C,h_1,$ and $h_2.$ Calculate the pressure difference $P_1-P_2,$ if fluid $A$ is acetone with density of $791k\frac{g}{m^3},$ B is glycerin with specific gravity of $1\mathrm{.}261,$ and C is a manometer fluid with a specific gravity of $1\mathrm{.}37$;$h_1=30\mathrm{.}0cm$; and $h_2=24\mathrm{.}0cm.$

What is the pressure $30\mathrm{.}0m$ below the surface of a lake? Given that the atmospheric pressure $($pressure at the surface$)$ is $10\mathrm{.}4m{H}_{2}O,$ and the density of water is $1000k\frac{g}{m^3}.$ Assume that $g$ is $9\mathrm{.}807\frac{m}{s^2}.$

Examine the figure below, where water flows through an orifice. The manometer fluid has a specific gravity of $13\mathrm{.}6.$ The density of water can be taken as $1000k\frac{g}{m^3}.$

What is the pressure $30\mathrm{.}0m$ below the surface of a lake? Given that the atmospheric pressure $($pressure at the surface$)$ is $10\mathrm{.}4m{H}_{2}O,$ and the density of water is $1000k\frac{g}{m^3}.$ Assume that $g$ is $9\mathrm{.}807\frac{m}{s^2}.$

Examine the figure below, where water flows through an orifice. The manometer fluid has a specific gravity of $13\mathrm{.}6.$ The density of water can be taken as $1000k\frac{g}{m^3}.$

a$)$ Derive the pressure difference between points A and $B(P_A-P_B)$

b$)$ Calculate the difference in height of the two columns of manometer fluid $(H)$