Boiler Plant Math Flashcards
Convert 100℃ to degrees ℉
100℃ = 212℉.
100 x 1.8 + 32 = 212
Convert 32℉ to degrees ℃.
32℉ = 0℃.
32 ℉ - 32 ÷ 1.8 = 0
What pressure is exerted by a column of water 10 feet high
10 feet X .433 = 4.33 psi
10 feet ÷ 2.31 = 4.329 psi
What is the area of a 4” (inch) diameter circle
A=πr^2
2 x 2=4 x 3.14=12.56 〖in〗^(2 )
What is the circumference of a 6” (inch) diameter circle
6 in × 3.14 = 18.84 in
How many cubic feet in a room with these dimensions: 10 feet long and 8.5 feet wide with a 7 foot ceiling
10 × 8.5 × 7= 595 〖ft〗^3
You are expecting a fuel oil delivery of 6,800 gallons. Your tank holds 10,000 gallons. What is the maximum amount of oil you can have in your tank
3,100 gallons is the maximum amount of oil in the tank
You have a tank with 2,310,000 cubic inches. How much does the water weigh
2,310,000 ÷ 231 = 10,000 gallons. 10,000 × 8.33 = 83,300 lbs.
A 10,000 gallon tank is half filled with water. How much does the water weigh
10,000 × 8.33 = 83,300 lbs.
83,300/2 = 41,650 lbs
Tank dimensions: 10 feet by 10 feet by 10 feet. Tank is filled with water @ 62℉. How much does the water weigh
10 × 10 × 10 = 1000 〖ft〗^3 1000 〖ft〗^3 × 62.5 = 62,500 lbs. Or 1000 〖ft〗^3 × 7.5 = 7500 gals. 7500 gals. × 8.33 = 62,475 lbs
What is standard pressure
The standard pressure is 14.7 PSIA (14.696)
What device measures absolute pressure
A barometer measures absolute pressure
How many BTU’s to turn 1 lb. of water into steam
If water is at 212℉ it will take 970.3 btu’s to turn it into steam at 212℉.
231 cubic inches is equal to how many gallons of water
231 〖in〗^3 of water = 1 U.S. gallon
How many gallons in 1 cubic foot
One cubic foot (1 〖ft〗^3) = 7.5 U.S. gallons
Standard pressure is equal to how many inches of mercury
14.696 psia = 29.92 in hg
A column of water 2.31 feet high exerts how much pressure at its base
A column of 2.31 feet high exerts 1 psi at its base
What is the area of the head on a boiler drum that is 60in in diameter
Πr^2 3.1416 x 900 = 2827.44 sq. in
A water tube boiler operates at a steam pressure of 750psia, and its steam drum diameter is 60in. What is the total pressure on the head of the drum
750psia x 2,827.44 sq. in. = 2,120,580 psia
A 600 psia pressure boiler has a drum that is 36in. in diameter. What will be the total pressure on the head
600 psia 36”
Pie r^2 3.1416(18)^2= 1017.8784
600 psia x 1017.8784= 610,727.04 psia
What is the circumference of a 3” water tube
9.42” (Diameter X π)
Convert 32℉ to ℃
0℃
How do you convert ℉ to ℃
℃ = (℉ - 32)
___________
1.8
How do you convert ℃ to ℉
℉ = (℃ X 1.8) + 32
How many cubic inches for 10,000 gallons of water
2,310,000 〖in〗^3 (10,000 X 231)
How much pressure is exerted by column of water 10 feet high?
4.33 psi (10 x .433) or (10 ÷ 2.31)
How high is a column of water with 1 psi at it’s base
2.31 feet
How high is a column of water with .433 psi at it’s base
1 foot
You have a 10,000 gallon tank for #6 oil. You are expecting a delivery of 6,800 gallons. What is the maximum amount of oil you can have in your tank prior to delivery
< 3,200 gallons
A tank is 10 X 10 X 10 is filled with water @ 62°F. How much does water weigh
62,500 lbs.
How many gallons in one cubic foot
7.5 gallons
A column of water 10’ HIGH, 2 square feet at base, 62F at base. How much pressure
4.33 PSI
ENGINE HORSEPOWER
P.L.A.N. 33,000 P = MEAN EFFECTIVE PRESSURE L = LENGTH OF STROKE A = AREA OF HP PISTON N = NUMBER OF STROKES/MIN. SIMPLE ENGINE = 40 PSI, CONDENSING ENGINE = 50 PSI COMPOUND ENGINE = 70 PSI VARIABLE SPEED USE AVERAGE SPEED
BTU BOILER HORSEPOWER
970.3 X 34.5 = 33,475
BTU MECHANICAL HP HOUR
1,980,000 / 778 = 2,545
BTU KILOWATT HOUR
2545 /.746 = 3,413
ONE KILOWATT
1.34 HP (1000/746)
ONE BTU
778 FT/LBS. OF WORK
Pump calculations
Theoretical HP = Q X 8.33 XH X Sp.Gr. / 33,000
Required HP = Q X 8.33 X H X Sp.Gr. / 33,000 X Ep
KW Input = Q X 8.33 X H X Sp.Gr. / 33,000 X Ep X Em X 1.341
Q = Capacity H = Head (ft) Sp.Gr. = Specific Gravity Ep = Pump efficiency (%) Em = Motor efficiency (%)
How much does a gallon of water weigh
8.33 lbs
Density of water
62.5 lbs/cu ft
What is the volume of 1 us gallon of water
231 cubic inches
HP in a KW
1.341 KW = 1 HP
How many foot pounds per minute in a HP
33,000 ft/lbs per minute
Capacity for a reciprocating pump (piston pump)
L.A.N.E. / 231 L = Length of stroke A = Area of the piston N = Number of strokes E = Efficiency (slip) length of stroke (inches) Area of piston (square inches) Stroke (minutes) Efficiency (slip) as % 231 Cubic inches per us gallon