Appendix A. Unit Conversion Constants1

1Selected from David M. Himmelblau, Basic Principles and Calculations in Chemical Engineering, 4th ed. (Englewood Cliffs, NJ: Prentice Hall, 1982).

Volume Equivalents

in3

ft3

U.S. gal

L

m3

1

5.787 × 10−4

4.329 × 10−3

1.639 × 10−2

1.639 × 10−5

1728

1

7.481

28.32

2.832 × 10−2

231

0.1337

1

3.785

3.785 × 10−3

61.03

3.531 × 10−2

0.2642

1

1.000 × 10−3

6.102 × 104

35.31

264.2

1000

1

Mass Equivalents

avoirdupois oz.

lbm

grains

g

kg

1

6.25 × 10−2

437.5

28.35

2.835 × 10−2

16

1

7000

453.592

0.453592

2.286 × 10−3

1.429 × 10−4

1

6.48 × 10−2

6.48 × 10−5

3.527 × 10−2

2.20 × 10−3

15.432

1

0.001

35.27

2.20

15,432

1000

1

Linear Measure

m

in

ft

mi

1

39.37

3.2808

6.214 × 10−4

2.54 × 10−2

1

8.333 × 10−2

1.58 × 10−5

0.3048

12

1

1.8939 × 10−4

1609

6.336 × 104

5280

1

Power Equivalents

HP

kW

ft–lbf /s

Btu/s

J/s

1

0.7457

550

0.7068

745.7

1.341

1

737.56

0.9478

1000

1.818 × 10−3

1.356 × 10−3

1

1.285 × 10−3

1.356

1.415

1.055

778.16

1

1055

1.341 × 10−3

1.000 × 10−3

0.7376

9.478 × 10−4

1

Heat, Energy, or Work Equivalents

ft–lbf

kW hr

HP hr

Btu

cal

J

1

3.766 × 10−7

5.0505 × 10−7

1.285 × 10−3

0.3241

1.356

2.655 × 106

1

1.341

3412.8

8.6057 × 105

3.6 × 106

1.98 × 106

0.7455

1

2545

6.4162 × 105

2.6845 × 106

778.16

2.930 × 10−4

3.930 × 10−4

1

252

1055

3.086

1.162 × 10−6

1.558 × 10−6

3.97 × 10−3

1

4.184

0.7376

2.773 × 10−7

3.725 × 10−7

9.484 × 10−4

0.2390

1

Pressure Equivalents

mm Hg

in Hg

bar

atm

kPa

psia

1

3.937 × 10−2

1.333 × 10−3

1.316 × 10−3

0.1333

1.934 × 10−2

25.40

1

0.03387

3.342 × 10−2

3.387

0.4912

750.06

29.53

1

0.9869

100.0

14.504

760.0

29.92

1.013

1

101.3

14.696

7.502

0.2954

0.01000

9.872 × 10−3

1

0.1450

51.71

2.036

6.893 × 10−2

6.805 × 10−2

6.893

1

Ideal Gas Constant, Rg

1.9872 cal/mole K

1.9872 BTU/lb-mole °R

8.3143 J/mol K = 0.0083143 kJ/mol K

10.731 psia ft3/lb-mole °R

8.3143 kPa m3/kg-mole K

8.3143 × 10−2 bar m3/kg-mole K = 8.3143 × 10−5 bar m3/mol K

82.057 cm3 atm/mol K = 8.2057 × 10−5 m3 atm/mol K

0.082057 L atm/mol K = 0.082057 m3 atm/kg-mole K

21.9 (in Hg) ft3/lb-mole °R

0.7302 ft3 atm/lb-mole °R

1545.3 ft lbf /lb-mole °R

8.314 × 103 kg m2/kg-mole s2 K = 8.314 × 103 N m/kg-mole s2 K

8.314 N m/mol K

Gravitational Constant, gc

32.174 ft-lbm/lbfs2

1 kg m/s2 N = 1 kg/Pa m s2 = 1 J s2/kg m2 =105 kg/bar m s2

1 g cm/s2 dyne

Acceleration Due to Gravity, g

32.174 ft/s2 = 9.80665 m/s2

Miscellaneous

1 N = 1 kg m/s2

1 J = 1 N m = 1 kg m2/s2

1 Poise = 100 centipoise (cp) = 0.1 kg/m s = 0.1 Pa s = 0.1 N s/m2

1 centipoise (cp) = 1 × 10−3 kg/m s = 2.4191 lbm/ft hr = 6.7197 × 10−4 lbm/ft s

1 atm = 760 mm Hg = 101,325 Pa = 1.013 bar = 29.92 in Hg = 33.91 ft of water = 10.33 m of water

Avogadro’s number = 6.02214 × 1023 /mol

1 U.S. gal = 0.8327 Imperial gal

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