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198
omhyggeligt sammenlignet meel det meteorologiske Instituts
Normalthermometer ved forskjellige Temperaturer, og dets
Stand ved 0° C undersøgt i smeltende Is. Efter disse
Observationer beregnedes en Formel for Piezometrets Stand
som Function af Temperaturen paa følgende Maade:
Er C det indre Volum af Piezomctret ved 0° C <
til Delstregen O mm paa Capillarrøret.
regnet
c det Volum, som indesluttes mellem to Delstreger,
eller som svarer til 1 mm Høide af Capillarrøret,
m„ Piezometrets i Kviksølvtoppens I Stand ved 0° C.
m, Piezometrets Stand ved t° C,
«ogß Constanter (Glashvilets kubiske Udvidelse).
r„ Vandets Volum ved 0° C,
r, Vandets Volum ved C.
Alt ved almindeligt Lufttryk,
saa har man:
C—ein,, = det indre Volum ved 0°.
(C—cm,)(i -j- af 4 ß †-) det indre Volum ved
carefully compared with the Standard-Thermometer of the
Meteorological Institute at various temperatures, and its
reading at 0° C. determined in melting ice. From these
observations, a formula was computed for the reading of
the piezometer as function of the temperature, in the
following manner: —
Taking C as the internal volume of the piezometer at 0°
C. and reckoned to the division 0 mm. on the
capillary tube;
c as the volume contained between two marks of
division, or that corresponding to a height of
1 mm. of the capillary tube;
in„ reading of piezometer (top of mercury) at 0°C.;
mt reading of piezometer at 1° C.;
«and/? constants (cubic expansion of the glass envelope);
r„ volume ol the water at 0° C.;
rt volume of the water at 1° C.;
at ordinary atmospheric pressure;
then we have.
(’—cm,, — the internal volume at 0°;
(C’—cm,) (i 4 «/ 4- †s) the internal volume at f°.
jC - cmt)( i 4 «I 4 ■! /- )
C—cm„
eller: (or) m„ -
Af de ved Sammenligningerne med
Normalthermome-tret fundne Værdier for t og ni, beregnes, efter de mindste
Kvadraters Methode, de sandsynligste Værdier for in,,. «og/?.
Man har efter Sammenligningerne med
Norinalther-mometret
/ = o°.oo 5°-72
mm mm
m, = 11.40 13.50
og efter Buchanan C = 4.2422 Cub.centimeter
(’ = 0.000456 — (Kaliber jevn).
Værdierne af r,: r„ ere tagne af Broch’s Tabel1
Observationerne give følgende Ligninger:
[Loga-rithmerl
m„ — 11.0560040!
m„ 4 [4.7254323] « 4 [5.4828283] = j 1.1014178]
m„ 4 [4.88q6q4q] « 4 [5.8113814I ß = [1.1214507]
»w« 4 [5-0294400] « + [6.0908925] ft — [1.1359070]
w- 4 [5-1529337! « 4- I6.3379089] ß = [1.1551766]
Endeligningerne blive: The normal equations are:
[0.6989700! m„ 4 [ 5.5797110! « 4- [ 6.6396590! ß = [1.8144221]
[5.5797110! m„ 4 [10.6076384] « 4 [11.7058232] ß = 16.7154528]
[6.6396590] m„ 4 [11.7058232] « 4 [12.8307266] ft = [7.7809450I
From the values given by the comparisons with the
the Standard-Thermometer for † and m,. T computed, by
the method of least squares, the most probable values for
■in,,, a, and ft.
From the comparisons with the Standard-Thermometer,
we have
8°. 3 5 n°-52 i5°-3i
111111 mm 111111
13.00 10.96 7.03
and. according to Buchanan, (7= 4.2422 cubic centimetres
c = 0.000456 —
(bore uniform).
The values of r,: v„ have been taken from Broch’s
Table.1
The observations give the following equations [-logarithms]-] {+log-
arithms]+} : —
Volume et Poicls spt’eifique de 1’eau jmre. Travaux et mémoires du Bureau international des poids et mesures.
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