Question

Chloroform flows through a 4.26 inch inside-diameter pipe at the rate of 3.60 gallons per minute. What is the average velocity of chloroform in the pipe? Number ft/s The specific gravity of chloroform is 1.49. What is the mass flow rate of the liquid for the conditions described above?

Answer 1

1) 0,081 ft/s

2) 0,746 lb/s

Step-by-step explanation:

The relation between flow and velocity of a fluid is given by:

Q=Av

where:

• Q, flow [ft3/s]
• A, cross section of the pipe [ft2]
• v, velocity of the fluid [ft/s]

1)

To convert our data to appropiate units, we use the following convertion factors:

1 ft=12 inches

1 ft3=7,48 gallons

1 minute=60 seconds

So,

`Q=(3,60 gallons)/(1 min)*(1min)/(60 s)*(1ft3)/(7,48gallons)=0,00802 (ft3)/(s)`

As the pipe has a circular section, we use A=πd^2/4:

`d=4,26 inch *(1ft)/(12 inch)=0,355ft\\  A=\pi (0,355^(2) )/(4)=0,0989ft2`

Finally:

Q=vA......................v=Q/A

`v=(0,00802ft^(3) /s)/(0,0989ft^(2) )=0,081ft/s`

2)

The following formula is used to calculate the specific gravity of a material:

SG = ρ / ρW

where:

• SG = specific gravity,

• ρ = density of the material [lb/ft3]

• ρW = density of water [lb/ft3] = 62.4 lbs/ft3

then:

ρ = SG*ρW = 1,49* 62,4 lb/ft3 = 93 lb/ft3

To calculate the mass flow, we just use the density of the chloroform in lb/ft3 to relate mass and volume:

`0,00802 (ft3)/(s)*(93lb)/(1ft3)=0,746lb/s`