This section is from the book "Principles And Practice Of Plumbing", by John Joseph Cosgrove. Also available from Amazon: Principles and Practice of Plumbing.
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:
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 | |
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
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.?
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.
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
1.03889 =40 gallons. Answer.
 
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