A tank for scuba diving is designed to contain 50 standard cubic feet (SCF) of air when filled to a pressure of 3,000 pounds per square inch (gage) at an ambient temperature of 80°F. Calculate the interior volume of the tank and its length if the inside diameter is 6 inches.

Note: A standard cubic foot of gas occupies one cubic foot at standard temperature and pressure (T = 15°C and p = 101.3 kPa absolute).

Water volumetric flow rate is the amount of water that moves through a particular surface in a unit of time. Or, to put it more briefly, the rate at which water moves through a pipe. The volumetric flow rate is the amount of fluid that moves per unit of time in physics and engineering, particularly fluid dynamics; it is typically denoted by the letter Q. The other primary sort of fluid flow rate is mass flow rate, which it contrasts.

Given:

Patm = 101.2 KPQ = 14.7 psi

P = Pgauge = 3000+ 14.7 = 3014.7 psi

P = 3014 * 144 Psf/psiq

Using general gas equation= P(Vair - V) = RT

But R = 53.34 ft.lbfT = 80°f = 540°R

434116.8(50-V) = (53.34)(540)

V = 49.9336 ft

Here d = 6 in , 6/12 ft = 0.5 ft

But v= [tex]\pi[/tex]/ 4 D²L

= 49.9336 = [tex]\pi[/tex]/ 4(0.5)² L

= L = (49.9336*4)/ [tex]\pi[/tex] *0.52

= L = 254.3099 ft

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