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3.4 Conversion Constants

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A significant amount of a practicing engineer’s time is spent in converting data and equations from one set of units to another. As long as scientists provide data and information in grams and centimeters while engineers calculate in terms of pounds and feet, this confusion in terminology will continue to exist. For the most part, the units in this text are consistent with those adopted by the engineering profession in the United States.

The physical, biological, and chemical properties of materials are important considerations in any study of desalination. To promote a better understanding of such properties, many of which are covered in Chapter 04, some definitions are briefly introduced in this section. Equations used in engineering as well as in the physical sciences are dimensional equations. The choice of the fundamental system of units determines the magnitude of the quantity described. Since the choice is optional, it is usually made to suit the convenience of a certain segment of the scientific community. For example, astronomers measure distance in light years, nuclear physicists employ angstroms, engineers use feet, etc. Engineers in the United States generally employ English units, but technical individuals need to be able to convert from one system of units to another.

Information on conversion constants (sometimes referred to as conversion factors) for length, mass, time, force, pressure, volume, energy, power, concentration, viscosity, and heat capacity are provided in Table 3.2. Commonly used water and water-related conversion constants, as they relate to volume and volumetric flowrate, are provided in Tables 3.3 and Table 3.4, respectively.

Table 3.2 Conversion constants.

To convert from To Multiply by
Length
m cm 100
m mm 1000
m microns (µm) 106
m angstroms () 1010
m in 39.37
m ft 3.281
m mi 6.214 x 10-4
ft in 12
ft m 0.3048
ft cm 30.48
ft mi 1.894 x 10-4
Mass
kg g 1000
kg lb 2.205
kg oz 35.24
ton 2.268 x 10-4
kg grains 1.543 x 104
lb oz 16
lb ton 5 x 10-4
lb g 453.6
lb kg 0.4536
lb grains 7,000
Time
s min 0.01667
s hr 2.78 x 10-4
s day 1.157 x 10-7
s week 1.653 x 10-6
s yr 3.171 x 10-8
Force
N kg-m/s2 1
N dynes 105
N g-cm/s2 105
N lbf 0.2248
N lb-ft/s2 7.233
lbf N 4.448
lbf dynes 4.448 x 105
lbf g-cm/s2 4.448 x 105
lbf lb-ft/s2 32.17
Pressure
atm N/m2 = Pa 1.013 x 105
atm kPa 101.3
atm bars 1.013
atm dynes/cm2 1.013 x 106
atm lbf/in2 = psi 14.696
atm mm Hg at 0°C (torr) 760
atm in Hg at 0°C 29.92
atm ft H2O at 4°C 33.9
atm in H2O at 4°C 406.8
psi atm 6.80 x 10-2
psi mm Hg at 0°C (torr) 51.71
psi in H2O at 4°C 27.70
in H2O at 4°C atm 2.458 x 10-3
in H2O at 4°C psi 0.0361
in H2O at 4°C mm Hg at 0°C (torr) 1.868
Volume
m3 L 1,000
m3 cm3 (cc, mL) 106
m3 ft3 35.31
m3 gal (U.S.) 264.2
m3 qt 1,057
ft3 in3 1,728
ft3 gal (U.S.) 7.48
ft3 m3 0.02832
ft3 L 28.32
Energy
J N-m 1
J erg 107
J dyne-cm 107
J kW-hr 2.778 x 10-7
J cal 0.2390
J ft-lbf 0.7376
J Btu 9.486 x 10-4
cal J 4.186
cal Btu 3.974 x 10-3
cal ft-lbf 3.088
Btu ft-lbf 778
Btu hp-hr 3.929 x 10-4
Btu cal 252
Btu kW-hr 2.93 x 10-4
ft-lbf cal 0.3239
ft-lbf J 1.356
Power
W J/s 1
W cal/s 0.2390
W ft-lbf/s 0.7376
W kW 10-3
kW Btu/s 0.949
kW hp 1.341
hp ft-lbf/s 550
hp kW 0.7457
hp cal/s 178.2
hp Btu/s 0.707
Concentration
µg/m3 lb/ft3 6.243 x 10-11
µg/m3 lb/gal 8.346 x 10-12
µg/m3 gr/ft3 4.370 x 10-7
gr/ft3 µg/m3 2.288 x 106
gr/ft3 g/m3 2.288
lb/ft3 µg/m3 1.602 x 1010
lb/ft3 µg/L 1.602 x 107
lb/ft3 lb/gal 7.48
Viscosity
P (poise) g/cm-s 1
P cP (centipoise) 100
P kg/m-hrv 360
P lb/ft-s 6.72 x 10-2
P lb/ft-hr 241.9
P lb/m-s 5.6 x 10-3
lb/ft-s P 14.88
lb/ft-s g/cm-s 14.88
lb/ft-s kg/m-hr 5.357 x 103
lb/ft-s lb/ft-hr 3,600
Volume
m3 L 1,000
m3 cm3 (cc, mL) 106
lb/ft-s kg/m-hr 5.357 x 103
lb/ft-s lb/ft-hr 3,600
Heat Capacity
cal/g-°C Btu/lb-°F l
cal/g-°C kcal/kg-°C l
cal/g-°C cal/gmol-°C molecular weight
cal/gmol-°C Btu/lbmol-°F l
J/g-°C Btu/lb-°F 0.2389
Btu/lb-°F cal/g-°C 1
Btu/lb-°F J/g-°C 4.186
Btu/lb-°F Btu/lbmol-°F molecular weight

Table 3.3 Conversion constants for volume.

Units Conversion constants
L gal ft3 m3 ac-ft
Liters (L) 1.0 0.2642 3.531 x 10-2 0.0001 8.106 x 10-7
Gallons (gal) 3.785 1.0 0.1337 3.785 x 10-3 3.068 x 10-6
Cubic feet (ft3) 28.32 7.481 1.0 2.832 x 10-3 2.296 x 10-5
Cubic meters (m3) 1,000 264.2 35.31 1.0 8.106 x 10-4
Acre feet (ac-ft) 1.223 x 106 3.259 x 105 4.356 x 104 1,233 1.0

Table 3.4 Conversion constants for volumetric flowrate.

Units Conversion constant
gpm L/s ac-ft/d cfs m3/d
Gallons/min (gpm) 1.0 6.309 x 10-2 4.419 x 10-3 2.228 x 10-3 5.45
Liters/sec (L/s) 15.85 1.0 7.005 x 10-2 3.351 x 10-2 86.4
Acre feet/day (ac-ft/d) 226.3 14.28 1.0 0.5042 1,234
Cubic feet/sec (ft3/s) 448.8 28.32 1.983 1.0 2.447
Cubic meters/day (m3/d) 1.369 x 109 8.64 x 107 6.051 x 106 3.051 x 106 1.0
Introduction to Desalination

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