Boiler Plant Math

Question 1

Convert 100℃ to degrees ℉

Answer 1

100℃ = 212℉.

100 x 1.8 + 32 = 212

Question 2

Convert 32℉ to degrees ℃.

Answer 2

32℉ = 0℃.

32 ℉ - 32 ÷ 1.8 = 0

Question 3

What pressure is exerted by a column of water 10 feet high

Answer 3

10 feet X .433 = 4.33 psi

10 feet ÷ 2.31 = 4.329 psi

Question 4

What is the area of a 4” (inch) diameter circle

Answer 4

A=πr^2

2 x 2=4 x 3.14=12.56 〖in〗^(2 )

Question 5

What is the circumference of a 6” (inch) diameter circle

Answer 5

6 in × 3.14 = 18.84 in

Question 6

How many cubic feet in a room with these dimensions: 10 feet long and 8.5 feet wide with a 7 foot ceiling

Answer 6

10 × 8.5 × 7= 595 〖ft〗^3

Question 7

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

Answer 7

3,100 gallons is the maximum amount of oil in the tank

Question 8

You have a tank with 2,310,000 cubic inches. How much does the water weigh

Answer 8

2,310,000 ÷ 231 = 10,000 gallons. 10,000 × 8.33 = 83,300 lbs.

Question 9

A 10,000 gallon tank is half filled with water. How much does the water weigh

Answer 9

10,000 × 8.33 = 83,300 lbs.

83,300/2 = 41,650 lbs

Question 10

Tank dimensions: 10 feet by 10 feet by 10 feet. Tank is filled with water @ 62℉. How much does the water weigh

Answer 10

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

Question 11

What is standard pressure

Answer 11

The standard pressure is 14.7 PSIA (14.696)

Question 12

What device measures absolute pressure

Answer 12

A barometer measures absolute pressure

Question 13

How many BTU’s to turn 1 lb. of water into steam

Answer 13

If water is at 212℉ it will take 970.3 btu’s to turn it into steam at 212℉.

Question 14

231 cubic inches is equal to how many gallons of water

Answer 14

231 〖in〗^3 of water = 1 U.S. gallon

Question 15

How many gallons in 1 cubic foot

Answer 15

One cubic foot (1 〖ft〗^3) = 7.5 U.S. gallons

Question 16

Standard pressure is equal to how many inches of mercury

Answer 16

14.696 psia = 29.92 in hg

Question 17

A column of water 2.31 feet high exerts how much pressure at its base

Answer 17

A column of 2.31 feet high exerts 1 psi at its base

Question 18

What is the area of the head on a boiler drum that is 60in in diameter

Answer 18

Πr^2 3.1416 x 900 = 2827.44 sq. in

Question 19

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

Answer 19

750psia x 2,827.44 sq. in. = 2,120,580 psia

Question 20

A 600 psia pressure boiler has a drum that is 36in. in diameter. What will be the total pressure on the head

Answer 20

600 psia 36”

Pie r^2 3.1416(18)^2= 1017.8784
600 psia x 1017.8784= 610,727.04 psia

Question 21

What is the circumference of a 3” water tube

Answer 21

9.42” (Diameter X π)

Question 22

Convert 32℉ to ℃

Answer 22

0℃

Question 23

How do you convert ℉ to ℃

Answer 23

℃ = (℉ - 32)
___________
1.8

Question 24

How do you convert ℃ to ℉

Answer 24

℉ = (℃ X 1.8) + 32

Question 25

How many cubic inches for 10,000 gallons of water

Answer 25

2,310,000 〖in〗^3 (10,000 X 231)

Question 26

How much pressure is exerted by column of water 10 feet high?

Answer 26

4.33 psi (10 x .433) or (10 ÷ 2.31)

Question 27

How high is a column of water with 1 psi at it’s base

Answer 27

2.31 feet

Question 28

How high is a column of water with .433 psi at it’s base

Answer 28

1 foot

Question 29

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

Answer 29

< 3,200 gallons

Question 30

A tank is 10 X 10 X 10 is filled with water @ 62°F. How much does water weigh

Answer 30

62,500 lbs.

Question 31

How many gallons in one cubic foot

Answer 31

7.5 gallons

Question 32

A column of water 10’ HIGH, 2 square feet at base, 62F at base. How much pressure

Answer 32

4.33 PSI

Question 33

ENGINE HORSEPOWER

Answer 33

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

Question 34

BTU BOILER HORSEPOWER

Answer 34

970.3 X 34.5 = 33,475

Question 35

BTU MECHANICAL HP HOUR

Answer 35

1,980,000 / 778 = 2,545

Question 36

BTU KILOWATT HOUR

Answer 36

2545 /.746 = 3,413

Question 37

ONE KILOWATT

Answer 37

1.34 HP (1000/746)

Question 38

ONE BTU

Answer 38

778 FT/LBS. OF WORK

Question 39

Pump calculations

Answer 39

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 (%)

Question 40

How much does a gallon of water weigh

Answer 40

8.33 lbs

Question 41

Density of water

Answer 41

62.5 lbs/cu ft

Question 42

What is the volume of 1 us gallon of water

Answer 42

231 cubic inches

Question 43

HP in a KW

Answer 43

1.341 KW = 1 HP

Question 44

How many foot pounds per minute in a HP

Answer 44

33,000 ft/lbs per minute

Question 45

Capacity for a reciprocating pump (piston pump)

Answer 45

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