$9\mathrm{.}16$ A $4\mathrm{.}0-$in$.$ by $2\mathrm{.}0-$in$.-$diameter venturi meter is used to measure the volume flow rate of turpentine in a chemical processing plant. Pressure differences are measured with a manonetcr having water as the manometer fluid.

$($a$)$ Show that the ideal now$-$rate sensitivity $1s0\mathrm{.}0210f{t}^{\frac{3}{s}}*i{n}^{12}$ when the pressure drop is neasured m inches of water.

$($b$)$ How can the actual tow$-$rate sensitivity be estimated by using Fig. $9\mathrm{.}25?$

$($c$)$ For a manometer reading of $16in.$ of water and a fluid temperature of $68F,$ determine the actual fow rate.