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2.82

SECTION 2

TABLE 2.13 Viscosity Conversion Table

Centistokes to Saybolt, Redwood, and Engler units.

 

 

Poise cgs unit of absolute viscosity

Centipoise

0.01 poise

 

 

 

 

 

 

Stoke cgs unit of kinematic viscosity

Centistoke

 

0.01 stoke

 

 

 

 

 

Centipoises

centistokes

density (at temperature under consideration)

 

 

 

 

 

 

 

 

Reyn (1 lb · s per sq in)

69 10 5 centpoises

 

 

 

 

 

 

Cf.

Jour. Inst. Pet. Tech.,

Vol. 22, p. 21 (1936); Reports of A. S. T. M. Committee D-2, 1936 and 1937.

 

The values of Saybolt Universal Viscosity at 100

F and at 210

F are taken directly from the comprehensive

 

ASTM Viscosity Table, Special Technical Publication No. 43A

 

(1953) by permission of the publishers, American

 

Society for Testing Materials, 1916 Race St., Philadelphia 3, Pa.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Saybolt Universal Viscosity at

Redwood Seconds at

 

 

 

 

Engler

 

 

 

 

 

 

 

 

 

 

 

 

 

Degrees at

 

 

 

 

 

 

 

 

 

 

 

 

Centistokes

100 F.

130 F.

210 F.

70 F.

140

F.

 

200

F.

 

all Temps.

 

 

 

 

 

 

 

 

 

 

 

 

 

2.0

32.62

32.68

32.85

30.2

31.0

 

31.2

 

1.14

 

 

3.0

36.03

36.10

36.28

32.7

33.5

 

33.7

 

1.22

 

4.0

39.14

39.22

39.41

35.3

36.0

 

 

36.3

 

1.31

 

 

5.0

42.35

42.43

42.65

37.9

38.5

 

38.9

 

1.40

 

 

6.0

45.56

45.65

45.88

40.5

41.0

 

 

41.5

 

 

1.48

 

 

7.0

48.77

48.86

49.11

43.2

43.7

 

44.2

 

1.56

 

8.0

52.09

52.19

52.45

46.0

46.4

 

 

46.9

 

 

1.65

 

 

9.0

55.50

55.61

55.89

48.9

49.1

 

49.7

 

1.75

 

 

10.0

58.91

59.02

59.32

51.7

52.0

 

52.6

 

1.84

 

 

11.0

62.43

62.55

62.86

54.8

55.0

 

 

55.6

 

1.93

 

 

12.0

66.04

66.17

66.50

57.9

58.1

 

 

58.8

 

2.02

 

 

14.0

73.57

73.71

74.09

64.4

64.6

 

65.3

2.22

 

 

16.0

81.30

81.46

81.87

71.0

71.4

 

 

72.2

 

2.43

 

 

18.0

89.44

89.61

90.06

77.9

78.5

 

 

79.4

 

2.64

 

 

20.0

97.77

97.96

98.45

85.0

85.8

 

 

86.9

 

2.87

 

 

22.0

106.4

106.6

107.1

92.4

93.3

 

 

94.5

 

3.10

 

 

24.0

115.0

115.2

115.8

99.9

100.9

102.2

 

3.34

 

 

26.0

123.7

123.9

124.5

107.5

108.6

 

110.0

 

3.58

 

 

28.0

132.5

132.8

133.4

115.3

116.5

 

 

118.0

 

3.82

 

 

30.0

141.3

141.6

142.3

123.1

124.4

 

 

126.0

 

4.07

 

 

32.0

150.2

150.5

151.2

131.0

132.3

 

134.1

 

4.32

 

 

34.0

159.2

159.5

160.3

138.9

140.2

 

142.2

 

4.57

 

 

36.0

168.2

168.5

169.4

146.9

148.2

 

 

150.3

 

4.83

 

 

38.0

177.3

177.6

178.5

155.0

156.2

 

158.3

 

5.08

 

 

40.0

186.3

186.7

187.6

163.0

164.3

 

 

166.7

5.34

 

 

42.0

195.3

195.7

196.7

171.0

172.3

 

175.0

 

5.59

 

 

44.0

204.4

204.8

205.9

179.1

180.4

 

183.3

 

5.85

 

 

46.0

213.7

214.1

215.2

187.1

188.5

 

 

191.7

 

6.11

 

 

48.0

222.9

223.3

224.5

195.2

196.6

 

 

200.0

 

6.37

 

 

50.0

232.1

232.5

233.8

203.3

204.7

 

 

208.3

6.63

 

 

60.0

278.3

278.8

280.2

243.5

245.3

 

250.0

 

7.90

 

 

70.0

324.4

325.0

326.7

283.9

286.0

 

291.7

9.21

 

 

80.0

370.8

371.5

373.4

323.9

326.6

 

333.4

10.53

 

 

90.0

417.1

417.9

420.0

364.4

367.4

 

 

375.0

 

11.84

 

 

100.0*

463.5

464.4

466.7

404.9

408.2

 

 

416.7

 

13.16

 

 

 

 

 

 

 

 

 

 

* At higher values use the same ratio as above for 100 centistokes;

e.g.,

102 centistokes

 

102

4.635Saybolt seconds at

100 F.

 

 

 

 

 

 

 

 

 

 

 

 

 

To obtain the Saybolt Universal viscosity equivalent to a kinematic viscosity determined at

 

 

 

t F., multiply the equivalent

Saybolt Universal viscosity at 100

F. by 1 (t 100) 0.000064; e.g.,

10 centistokes

at

210

F

are equivalent to

58.91

1.0070,

or 59.32 Saybolt Universal Viscosity at 210

F.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS

 

 

 

 

 

 

 

 

 

 

 

 

 

2.83

TABLE 2.14

Conversion of Weighings in Air to Weighings in Vacuo

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

If the mass of a substance in air is

m

f, its density m

, the density of weights used in making the

weighing

w

, and the density* of air

a , the true mass of the substance in vacuo,

 

 

is

 

 

m vac ,

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

m

vac

m f a m

f

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

m

 

w

 

 

 

 

 

 

 

 

For most purposes it is sufficient to assume a density of 8.4 for brass weights, and a density of 0.0012 for

 

 

 

air under ordinary conditions. The equation then becomes

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

m

 

m f 0.0012

m f

 

1

 

 

 

1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

vac

m

 

 

8.4

 

 

 

 

 

 

The table which follows gives the values of

 

 

k (buoyancy reduction factor), which is the correction necessary

because of the buoyant effect of the air upon the object weighed; the table is computed for air with the density

 

 

 

of

0.0012;

m

is

the weight in grams of the

object

when weighed in air;

weight

 

 

of object

reduced to “in

 

 

 

vacuo”

m

km

/1000.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Buoyancy

reduction factor,

 

 

 

 

k

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Density of

 

 

 

Brass weights,

 

 

Pt or Pt-Ir

 

 

 

 

 

 

 

 

Al or quartz weights,

 

Gold weights,

 

 

object weighed

 

 

density 8.4

 

weights, density

21.5

 

 

 

 

 

density

2.7

 

density 17

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0.2

 

 

 

5.89

 

 

 

5.98

 

 

 

 

 

 

 

 

5.58

5.97

 

 

 

 

0.3

 

 

 

3.87

 

 

 

3.96

 

 

 

 

 

 

 

 

3.56

3.95

 

 

 

 

0.4

 

 

 

2.87

 

 

 

2.95

 

 

 

 

 

 

 

 

2.55

2.94

 

 

 

 

0.5

 

 

 

 

2.26

 

 

 

2.35

 

 

 

 

 

 

 

 

1.95

2.34

 

 

 

 

0.6

 

 

 

1.86

 

 

 

1.95

 

 

 

 

 

 

 

 

1.55

1.93

 

 

 

 

0.7

 

 

 

1.57

 

 

 

1.66

 

 

 

 

 

 

 

 

1.26

1.65

 

 

 

 

0.75

 

 

 

1.46

 

 

 

1.55

 

 

 

 

 

 

 

 

1.15

1.53

 

 

 

 

0.80

 

 

 

1.36

 

 

 

1.45

 

 

 

 

 

 

 

 

1.05

1.43

 

 

 

 

0.82

 

 

 

1.32

 

 

 

1.41

 

 

 

 

 

 

 

 

1.01

1.39

 

 

 

 

0.84

 

 

 

1.29

 

 

 

1.37

 

 

 

 

 

 

 

 

0.98

1.36

 

 

 

 

0.86

 

 

 

1.25

 

 

 

1.34

 

 

 

 

 

 

 

 

0.94

1.33

 

 

 

 

0.88

 

 

 

1.22

 

 

 

1.31

 

 

 

 

 

 

 

 

0.91

1.29

 

 

 

 

0.90

 

 

 

1.19

 

 

 

1.28

 

 

 

 

 

 

 

 

0.88

1.26

 

 

 

 

0.92

 

 

 

1.16

 

 

 

1.25

 

 

 

 

 

 

 

 

0.85

1.24

 

 

 

 

0.94

 

 

 

1.13

 

 

 

1.22

 

 

 

 

 

 

 

 

0.82

1.21

 

 

 

 

0.96

 

 

 

1.11

 

 

 

1.20

 

 

 

 

 

 

 

 

0.80

1.18

 

 

 

 

0.98

 

 

 

1.08

 

 

 

1.17

 

 

 

 

 

 

 

 

0.77

1.16

 

 

 

 

1.00

 

 

 

1.06

 

 

 

1.15

 

 

 

 

 

 

 

 

0.75

 

1.13

 

 

 

 

1.02

 

 

 

1.03

 

 

 

1.12

 

 

 

 

 

 

 

 

0.72

1.11

 

 

 

 

1.04

 

 

 

1.01

 

 

 

1.10

 

 

 

 

 

 

 

 

0.70

 

1.08

 

 

 

 

1.06

 

 

 

0.99

 

 

 

1.08

 

 

 

 

 

 

 

 

0.68

1.06

 

 

 

 

1.08

 

 

 

0.97

 

 

 

1.06

 

 

 

 

 

 

 

 

0.66

1.04

 

 

 

 

1.10

 

 

 

0.95

 

 

 

1.04

 

 

 

 

 

 

 

 

0.64

 

1.02

 

 

 

 

1.12

 

 

 

0.93

 

 

 

1.02

 

 

 

 

 

 

 

 

0.62

1.00

 

 

 

 

1.14

 

 

 

0.91

 

 

 

1.00

 

 

 

 

 

 

 

 

0.60

 

0.98

 

 

 

 

1.16

 

 

 

0.89

 

 

 

0.98

 

 

 

 

 

 

 

 

0.58

0.96

 

 

 

 

1.18

 

 

 

0.87

 

 

 

0.96

 

 

 

 

 

 

 

 

0.56

0.95

 

 

 

 

1.20

 

 

 

0.86

 

 

 

0.95

 

 

 

 

 

 

 

 

0.55

 

0.93

 

 

 

 

1.25

 

 

 

0.82

 

 

 

0.91

 

 

 

 

 

 

 

 

0.51

 

0.89

 

 

 

 

1.30

 

 

 

0.78

 

 

 

0.87

 

 

 

 

 

 

 

 

0.47

0.85

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

* See Table 5.15, Specific Gravity of Air at Various Temperatures.

2.84

 

 

 

 

SECTION 2

 

 

 

 

 

 

 

TABLE 2.14

Conversion of Weighings in Air to Weighings in Vacuo (

 

 

Continued

)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Buoyancy

reduction factor,

k

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Density of

 

 

Brass weights,

 

Pt or Pt-Ir

 

 

Al or quartz weights,

 

Gold weights,

 

object weighed

 

 

density 8.4

 

weights, density

21.5

density

2.7

 

density 17

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1.35

0.75

0.83

 

 

0.44

 

0.82

 

1.40

0.71

0.80

 

 

0.40

 

0.79

 

1.50

0.66

0.74

 

 

0.35

 

0.73

 

1.6

0.61

0.69

 

 

0.30

 

0.68

 

1.7

0.56

0.65

 

 

0.25

 

0.64

 

1.8

0.52

0.61

 

 

0.21

 

0.60

 

1.9

0.49

0.58

 

 

0.18

 

0.56

 

2.0

0.46

0.54

 

 

0.15

 

0.53

 

2.2

0.40

0.49

 

 

0.09

 

0.48

 

2.4

0.36

0.44

 

 

0.05

0.43

 

2.6

0.32

0.41

 

 

0.01

 

0.39

 

2.8

0.29

0.37

 

 

0.02

0.36

 

3.0

0.26

0.34

 

 

0.05

0.33

 

3.5

0.20

0.29

 

 

0.11

0.27

 

4

0.16

0.24

 

 

0.15

0.23

 

5

0.10

0.18

 

 

0.21

0.17

 

6

0.06

0.14

 

 

0.25

0.13

 

7

0.03

0.12

 

 

0.28

0.10

 

8

0.01

0.09

 

 

0.30

0.08

 

9

 

 

0.01

0.08

 

 

0.32

0.06

 

10

 

 

0.02

0.06

 

 

0.33

0.05

 

12

 

 

0.04

0.04

 

 

0.35

0.03

 

14

 

 

0.06

0.03

 

 

0.37

0.02

 

16

 

 

0.07

0.02

 

 

0.38

0.00

 

18

 

 

0.08

0.01

 

 

0.39

0.00

 

20

 

 

0.08

0.00

 

 

0.39

 

0.01

22

 

 

0.09

0.00

 

 

0.40

 

0.02

 

 

 

 

 

 

 

 

 

 

 

 

 

 

GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS

2.85

TABLE 2.15 Hydrometer Conversion Table

 

This table gives the relation between density (c.g.s.) and degrees on the Baume

´ and Twaddell scales. The

Twaddell scale is never used for densities less than unity. See also Sec. 2.1.2.1, Hydrometers.

 

 

 

 

 

 

 

Degrees

 

 

Degrees Baume

´

 

Baume ´

Density

 

(NIST* scale)

 

 

(A.P.I.† scale)

 

 

 

 

 

 

 

 

0.600

103.33

 

 

104.33

 

0.605

101.40

 

 

102.38

 

0.610

99.51

 

 

100.47

 

0.615

97.64

 

 

98.58

 

0.620

95.81

 

 

96.73

 

0.625

94.00

 

 

94.90

 

0.630

92.22

 

 

93.10

 

0.635

90.47

 

 

91.33

 

0.640

88.75

 

 

89.59

 

0.645

87.05

 

 

87.88

 

0.650

85.38

 

 

86.19

 

0.655

83.74

 

 

84.53

 

0.660

82.12

 

 

82.89

 

0.665

80.52

 

 

81.28

 

0.670

78.95

 

 

79.69

 

0.675

77.41

 

 

78.13

 

0.680

75.88

 

 

76.59

 

0.685

74.38

 

 

75.07

 

0.690

72.90

 

 

73.57

 

0.695

71.43

 

 

72.10

 

0.700

70.00

 

 

70.64

 

0.705

68.57

 

 

69.21

 

0.710

67.18

 

 

67.80

 

0.715

65.80

 

 

66.40

 

0.720

64.44

 

 

65.03

 

0.725

63.10

 

 

63.67

 

0.730

61.78

 

 

62.34

 

0.735

60.48

 

 

61.02

 

0.740

59.19

 

 

59.72

 

0.745

57.92

 

 

58.43

 

0.750

56.67

 

 

57.17

 

0.755

55.43

 

 

55.92

 

0.760

54.21

 

 

54.68

 

0.765

53.01

 

 

53.47

 

0.770

51.82

 

 

52.27

 

0.775

50.65

 

 

51.08

 

0.780

49.49

 

 

49.91

 

0.785

48.34

 

 

48.75

 

0.790

47.22

 

 

47.61

 

0.795

46.10

 

 

46.49

 

0.800

45.00

 

 

45.38

 

0.805

43.91

 

 

44.28

 

0.810

42.84

 

 

43.19

 

0.815

41.78

 

 

42.12

 

0.820

40.73

 

 

41.06

 

 

 

 

 

 

 

Degrees

 

 

 

Degrees Baume

´

Baume ´

Density

 

(NIST* scale)

 

 

(A.P.I.† scale)

 

 

 

 

 

 

 

 

0.825

39.70

 

 

40.02

 

0.830

38.68

 

 

38.98

 

0.835

37.66

 

 

37.96

 

0.840

36.67

 

 

36.95

 

0.845

35.68

 

 

35.96

 

0.850

34.71

 

 

34.97

 

0.855

33.74

 

 

34.00

 

0.860

32.79

 

 

33.03

 

0.865

31.85

 

 

32.08

 

0.870

30.92

 

 

31.14

 

0.875

30.00

 

 

30.21

 

0.880

29.09

 

 

29.30

 

0.885

28.19

 

 

28.39

 

0.890

27.30

 

 

27.49

 

0.895

26.42

 

 

26.60

 

0.900

25.56

 

 

25.72

 

0.905

24.70

 

 

24.85

 

0.910

23.85

 

 

23.99

 

0.915

23.01

 

 

23.14

 

0.920

22.17

 

 

22.30

 

0.925

21.35

 

 

21.47

 

0.930

20.54

 

 

20.65

 

0.935

19.73

 

 

19.84

 

0.940

18.94

 

 

19.03

 

0.945

18.15

 

 

18.24

 

0.950

17.37

 

 

17.45

 

0.955

16.60

 

 

16.67

 

0.960

15.83

 

 

15.90

 

0.965

15.08

 

 

15.13

 

0.970

14.33

 

 

14.38

 

0.975

13.59

 

 

13.63

 

0.980

12.86

 

 

12.89

 

0.985

12.13

 

 

12.15

 

0.990

11.41

 

 

11.43

 

0.995

10.70

 

 

10.71

 

1.000

10.00

 

 

10.00

 

 

 

 

 

 

 

 

 

 

 

 

 

 

DENSITIES GREATER THAN UNITY

 

 

 

 

 

 

 

 

 

 

 

 

 

Degrees Baume

´

Degrees

Density

 

(NIST* scale)

 

 

Twaddell

 

 

 

 

 

 

 

 

1.00

0.00

 

 

0

 

1.01

1.44

 

 

2

 

1.02

2.84

 

 

4

 

 

 

 

 

 

 

 

 

* NIST, National Institute for Science and Technology (formerly the National Bureau of Standards, U.S.).

† A.P.I. is the American Petroleum Institute.

2.86

SECTION 2

 

TABLE 2.15 Hydrometer Conversion Table (

Continued

)

 

Degrees Baume

´

Degrees

Density

 

(NIST* scale)

 

 

Twaddell

 

 

 

 

 

 

1.03

4.22

 

 

6

1.04

5.58

 

 

8

1.05

6.91

 

 

10

1.06

8.21

 

 

12

1.07

9.49

 

 

14

1.08

10.78

 

 

16

1.09

11.97

 

 

18

1.10

13.18

 

 

20

1.11

14.37

 

 

22

1.12

15.54

 

 

24

1.13

16.68

 

 

26

1.14

17.81

 

 

28

1.15

18.91

 

 

30

1.16

20.00

 

 

32

1.17

21.07

 

 

34

1.18

22.12

 

 

36

1.19

23.15

 

 

38

1.20

24.17

 

 

40

1.21

25.16

 

 

42

1.22

26.15

 

 

44

1.23

27.11

 

 

46

1.24

28.06

 

 

48

1.25

29.00

 

 

50

1.26

29.92

 

 

52

1.27

30.83

 

 

54

1.28

31.72

 

 

56

1.29

32.60

 

 

58

1.30

33.46

 

 

60

1.31

34.31

 

 

62

1.32

35.15

 

 

64

1.33

35.98

 

 

66

1.34

36.79

 

 

68

1.35

37.59

 

 

70

1.36

38.38

 

 

72

1.37

39.16

 

 

74

1.38

39.93

 

 

76

1.39

40.68

 

 

78

1.40

41.43

 

 

80

1.41

42.16

 

 

82

1.42

42.89

 

 

84

1.43

43.60

 

 

86

1.44

44.31

 

 

88

1.45

45.00

 

 

90

1.46

45.68

 

 

92

1.47

46.36

 

 

94

1.48

47.03

 

 

96

1.49

47.68

 

 

98

1.50

48.33

 

 

100

1.51

48.97

 

 

102

 

Degrees Baume

´

Degrees

Density

 

(NIST* scale)

 

 

Twaddell

 

 

 

 

 

 

1.52

49.60

 

 

104

1.53

50.23

 

 

106

1.54

50.84

 

 

108

1.55

51.45

 

 

110

1.56

52.05

 

 

112

1.57

52.64

 

 

114

1.58

53.23

 

 

116

1.59

53.80

 

 

118

1.60

54.38

 

 

120

1.61

54.94

 

 

122

1.62

55.49

 

 

124

1.63

56.04

 

 

126

1.64

56.58

 

 

128

1.65

57.12

 

 

130

1.66

57.65

 

 

132

1.67

58.17

 

 

134

1.68

58.69

 

 

136

1.69

59.20

 

 

138

1.70

59.71

 

 

140

1.71

60.20

 

 

142

1.72

60.70

 

 

144

1.73

61.18

 

 

146

1.74

61.67

 

 

148

1.75

62.14

 

 

150

1.76

62.61

 

 

152

1.77

63.08

 

 

154

1.78

63.54

 

 

156

1.79

63.99

 

 

158

1.80

64.44

 

 

160

1.81

64.89

 

 

162

1.82

65.31

 

 

164

1.83

65.77

 

 

166

1.84

66.20

 

 

168

1.85

66.62

 

 

170

1.86

67.04

 

 

172

1.87

67.46

 

 

174

1.88

67.87

 

 

176

1.89

68.28

 

 

178

1.90

68.68

 

 

180

1.91

69.08

 

 

182

1.92

69.48

 

 

184

1.93

69.87

 

 

186

1.94

70.26

 

 

188

1.95

70.64

 

 

190

1.96

71.02

 

 

192

1.97

71.40

 

 

194

1.98

71.77

 

 

196

1.99

72.14

 

 

198

2.00

72.50

 

 

200

* NIST, National Institute for Science and Technology (formerly the National Bureau of Standards, U.S.).

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