788 PROF. W. H. MILLER ON THE CONSTRUCTION OF THE NEW STANDARD POUND.
Table V.
Logarithms of the ratio of the density of platinum at 0° to its density at f, and theirarithmetical complements, assuming the coefficient of the linear expansion ofplatinum to be 0 - 00000900.
t .
log P.
10-log P.
t .
log P.
10-log P.
0
0-0000000
10-0000000
16
0-0001876
9-9998124
1
0-0000117
9-9999883
17
0-0001993
9-9998007
2
0-C000235
9-9999765
18
0-0002110
9-9997880
o-i
12
3
0-0000352
9-9999648
19
0-0002227
9-9997773
0-2
2 3
4
0-0000469
9-9999531
20
0-0002345
9-9997655
0-3
35
5
0-0000586
9-9999414
21
0-0002462
9-9997538
0-4
47
6
0-0000704
9-9999296
22
0-0002579
9-9997421
0-5
59
7
0-0000821
9-9999179
23
0-0002696
9-9997304
o-6
70
8
0-0000938
9-9999062
24
0-0002813
9-9997187
0-7
82
9
0-0001055
9-9998945
25
0-0002931
9-9997069
o-8
94
10
0-0001173
9-9998828
26
0-0003048
9-9996952
0-9
i° 5
11
0-0001290
9-9998710
27
0-0003165
9-9996835
12
0-0001407
9-9998593
28
0-0003282
9-9996718
13
0-0001524
9-9998476
29
0-0003399
9-9996601
14
0-0001641
9-9998359
30
0-0003516
9-9996484
15
0-0001759
9-9998241
Expansion of Water.
The latest and best observations for determining the expansion of water by heat,are those of Stampfer*, DespretzPierre;};, tabulated by Frankenheim Kopp||,and Plucker and Geissler^]". The observations of Hallstrom and Muncke are notincluded in this list, on account of certain sources of error pointed out by Despretz.
The following Table exhibits the ratios of the maximum density of water to itsdensity at f C, according to the different observers above mentioned.
t .
Stampfer.
Despretz.
Pierre.
Kopp.
Plucker and Geissler.
Min.
1-000000
1-0000000
1-0000000
1-000000
1-000000
5
1-000012
1-0000082
1-0000091
1-000006
1-000013
6
1-000038
1-0000309
1-0000336
1-000026
1-000038
7
1-000079
1-0000708
1-0000716
1-000061
1-000079
8
1-000135
1-0001216
1-0001232
1-000109
1-000134
9
1-000205
1-0001879
1-0001882
1-000171
1-000204
10
1-000289
1-0002684
1-0002670
1-000247
1-000287
11
1-000387
1-0003598
1-0003580
1-000336
1-000381
12
1-000497
1-0004723
1-0004608
1-000437
1-000495
13
1-000620
1-0005862
1-0005745
1-000552
14
1-000757
1-0007146
1-0007065
1-000679
15
1-000906
1-0008751
1-0008463
1-000818
16
1-001066
1-0010215
1-0009972
1-000969
17
1-001239
1-0012067
1-0011592
1-001133
18
1-001422
1-00139
1-0013320
1-001307
19
1-001617
1-00158
1-0015153
1-001493
20
1-001822
1-00179
1-0017128
1-001690
21
1-002039
1-00200
1-0019185
1-001899
22
1-002265
1-00222
1-0021296
1-002118
23
1-002502
1-00244
1-0023498
1-002348
24
1-002749
1-00271
1-0025836
1-002588
25
1-003005
1-00293
1-0028263
1-002838