SHOW ALL STEPS PLS$.$

GIVEN Ethyl alcohol flows through a pipe of diameter $D=60mm$ in a refinery. The pressure drop across the nozzle meter used to measure the flowrate is to be $p=4\mathrm{.}0$kPa when the flowrate is $Q=0\mathrm{.}003\frac{m^3}{s}.$

FIND Determine the diameter, $d,$ of the nozzle.

$Q=C_n{Q}_{\text{i}\text{t}\text{t}\text{a}\text{l}}=C_n{A}_n\sqrt[\phantom{2}]{\frac{2(p_1-p_2)}{(1-{}^4)}}$

$=\frac{d}{D}$

$A_n=\frac{}{4}{d}^2$

From Table $1\mathrm{.}6$ the properties of ethyl alcohol are $=789k\frac{g}{m^3}$

Pressure taps

$Q=0\mathrm{.}003\frac{m^3}{s}=C_m\frac{}{4}{d}^2\sqrt[\phantom{2}]{\frac{2(4{10}^3\frac{N}{m^2})}{789\frac{kg}{m^3}(f-{}^4)}}$