Expansion Of Water

When water at or above the temperature of 39.1 degrees Fahr. is heated, it expands in volume. The temperature 39.1 degrees Fahr. is known as the point of maximum density. When water is at a lower temperature the application of heat causes it to contract in bulk and the application of cold causes it to expand.

The expansion, weight, density and comparative volume of pure water at different temperatures can be found in the following table:

Table XLVIII - Comparative Volume And Density Of Water At Different Temperatures (Calculated By Means Of Rankine's Approximate Formula) (D. K. Clark)

Temperature

Comparative Volume

Comparative Density

Weight of

1 cubic foot

Remarkable Temperatures

Degrees Fahr.

Water at 32o = 1

Water at 82° = 1

Pounds

t

32

1.00000

1.00000

62.418

Freezing Point.

35

0.99993

1.00007

62.422

39.1

0.99989

1.00011

62.425

Point of maximum density.

40

0.99989

1.00011

62.425

45

0.99993

1.00007

62.422

46

1.00000

1.00000

62.418

Same volume and density as at the freezing point.

50

1.00015

0.99985

62.409

52.3

1.00029

0.99971

62.400

Weight taken for ordinary calculations.

55

1.00038

0.99961

62.394

60

1.00074

0.99926

62.372

62

1.00101

0.99899

62.355

Mean temperature.

65

1.00119

0.99881

62.344

70

1.00160

0 99832

62.313

75

1.00239

0.99771

62.275

80

1.00299

0.99702

62.240

85

1.00379

0.99622

62.182

90

1.00459

0.99543

62.133

95

1.00554

0.99449

62.074

100

1.00639

0.92365

62.022

Temperature of condenser water.

105

1.00739

0.99260

61.960

110

1.00889

0.99119

61.868

115

1.00989

0.99021

61.807

120

1.01139

0.98874

61.715

125

1.01239

0.98808

61.654

130

1.01390

0.98630

61.563

135

1.01539

0.98484

61.472

140

1.01690

0.98339

61.381

145

1.01839

0.98194

61.291

150

1.01889

0.98050

61.201

155

1.02164

0.97882

61.096

160

1.02340 .

0.97714

60.991

165

1.02589

0.97477

60.843

170

1.02690

0.97380

60.783

175

1.02906

0.97193

60.665

180

1.03100

0.97006

60.548

185

1.03300

0.96828

60.430

190

1.03500

0.96632

60.314

195

1.03700

0.96440

60.198

200

1.03889

0.96256

60.081

Table XLVIII - Continued

Temperature

Comparative Volume

Comparative Density-

Weight of

1 cubic foot

Remarkable Temperatures

Degrees Fahr.

Water at 32° = 1

Water at 32° = 1

Pounds

205

1.0414

0.9602

59.93

210

1.0434

0.9584

59.82

212

1.0444

0.9575

59.76

Boiling point by formula

212

1.0466

0.9555

59.64

Boiling point by direct measurement.

230

1.0529

0.9499

59.26

250

1.0628

0.9411

58.75

270

1.0727

0.9323

58.18

290

1.0838

0.9227

57.59

298

1.0899

0.9175

57.27

Temperature of steam of 50 lbs. effective pressure per square inch.

338

1.1118

0.8994

56.14

Temperature of steam of 100 lbs. pressure per square inch.

366

1.1301

0.8850

55.29

Temperature of steam of 150 lbs. pressure per square inch.

390

1.1444

0.8738

54.54

Temperature of steam of 205 lbs. effective pressure per square inch.

The increase in bulk of a given quantity of water can be found by the formula, v=oc q

In which v=final volume of water o=original volume of water c=comparative volume of water at final temperature q=comparative volume of water at original temperature

Example

What will be the final volume in a vessel containing 40 gallons of water at 62 degrees Fahr. when raised to a temperature of 200 degrees Fahr.?

Solution

In Table XLVIII it will be seen that the comparative volume of water at 62 degrees Fahr. is 1.00101 and at 200 degrees Fahr.

1.03889. Substituting those values in the formula,

V= 40X1.03889=41.51 gallons final volume. Answer.

1.00101

The contraction in bulk of a given quantity of water oc can be found by the formula, V= - as in the former case, q with this difference, however, that the original temperature and volume in this case is the higher one, while the final temperature and volume is the smaller one.

Example

What will be the final volume of 41.514 gallons of water that is cooled from 200 degrees Fahr. to 62 degrees Fahr.?

41.514X1.00101

Solution

1.03889 =40 gallons. Answer.