The pressure difference between two points, A and $B,$ is

$p_B=p_A+h$

where $$ and $h$ are the specific weight and height of the

vertical fluid interface in the manometer.

Figure

Part A $-$ Multi$-$fluid manometer

Consider $($Figure $1)$ where the water in a tank is pressurized by air, and the pressure is measured by a manometer that uses

multiple fluids and is subjected to standard atmospheric pressure at $A.$ The density of the fluids are

${}_w=1000k\frac{g}{m^3},{}_{\text{o}\text{i}\text{l}}=880k\frac{g}{m^3},$ and ${}_{Hg}=13550k\frac{g}{m^3}.$ Determine the absolute pressure of the air in the tank if

$h_1=85cm,h_2=100cm,$ and $h_3=15cm.$

Express your answer in the appropriate units to three significant figures.

View Available Hint$($s$)$

$p_{\text{a}\text{i}\text{t}}=138233$