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EX P

E X P

55 i

pansion oi' tho=e liquids which have been hitherto examined bycliem.cal philosophers.

Temp.

Mer-

cury.

30°

100000

40

100081

50

100*33

GO

100304100406

70

80

100508

90

! l 00610

too

■100712

110

■100813

120

'100915

130

'1 010 l 7r

140

101119

150

101220

160

•101322

170

101424

180

■101526

190

101628

200

101730

212

101835

Lin- | Sill-seed oil phmicI acid.

- 9 >752

-100000

- 100279

-- 100558

-1QOSOb

-101054

102760 101517

-10154:

-! 101834

- 1 10209?

-402320

-102614

-102893

- 103116

-103339

- 103587

-103911

107250-

Nitric

acid.

Water.

99514!10000010048610099o!101530!1020S8 :102620 !1031961037761104352

100023

100091

10019?

100332

100694

1009OS

10140-1

105132

102017

10361:

104577

Oil oflurpentine.

103000100460100993101471i"I931102446,102913103421!03954104573

Alco-

hol.

1000001005391011051016881022S110289310351710416

The expansion of solid bodies is so small, that a micrometer isnecessary to detect the increase of bulk. As far as is known, theexpansion is equable, at least the deviation from perfect equality isinsensible. The following table exhibits the expansion of most ofthe solids which have been hitherto examined. Most of the ex-periments were made by Smeaton.

Temp.

bulk

Temp.

Bulk.

Temp .

Bulk.

32°

100000

100°

100023

* 0/

100056

50

100006

120

100033

190

100069

70

100014

150

100044

212

100083

,

Temp .

'

Plati-

num.

Anti-

( mony.

Steel.

1

Iron. 1 Cast-j iron.

Bis-

muth .

. 32°212Whiteheat.

120000

1.20104

120000

120130

120000

120147

123428

1

I200Q0120000

12015F

121500 122571

1

120000

120167

Cop-

per.

Cast-

brass.

lira? -wire.

Tin. | Lead.

Zinc.

32°

212

120000

124204

120000

120225

120000

120232

1

I20Q00!J200Q012029&| 120344

120000

120355

Hammereel zinc.

32°

212

120000

120373

Zinc. 8.Tin 1.

120000120323

Lead 2.Tin 1.

Brass 2.Zinc 1.

'120000120301

120000

120247

Pewter. Copper3.tin 1.

120000120274

1200001202 IS

The expansion of glass is.a point of great importance, as it in-fluences tiie result ot most experiments on temperature. It hasbeen examined with much precision by M. de I.tic, The rate ofits expansion, as settled by that philosopher, may be seen in (liefollowing table <

From this table it appeal's, that when glass is heated one degree,it undergoes an expansion w hich amounts nearly to ot the

whole bulk. O11 the supposition tnat metals expand equably, theexpansion of a mass of metal, by being healed a given number ofdegrees, is as follows: let a = the expansion of the mass inlength tor °, which, must be found by experiment; b — the num-ber of degrees whoso expansion is required ; s — the solid con-tents of tlie metallic mass; x= the expansion sought ; then 1—3b a s. The property which bodies possess of expanding, whenbeat is applied to them, has furnished us with an instrument formeasuring the relative temperature of bodies. See Thermome-ter . Having considered the phenomena and laws of expansion asfar as they are understood, it will be proper to state the excep-tions to this general effect ot heat, or the cases in which expansionis produced not by an increase, but by a diminution of tempera-ture. These exceptions may lie divided into two classes. Thelirst class comprehends certain liquid bodies which have a maxi-mum of density corresponding with a certain temperature ; andwhich, if they are boated above that temperature, or cooled downbelow it, undergo in both cases an expansion or increase of bulk.The second class comprehends certain liquids w hich suddenly be-come solid when cooled clown ton certain temperature; and thissolidification is accompanied by an increase of bulk. VVater fur-nishes us with the most remarkable example of the first class ofbodies. Its maximum of density corresponds with 42".5 ofFahrenheit's thermometer, as lias been lately ascertained by Mr,Dalfon. If it be cooled down below 42°.5, it undergoes an expan-sion for every degree of temperature which it loses; and at 32° theexpansion amounts, according to Mr. Dalton, to of the wholeexpansion which water undergoes when lieated from 42°.5 to 212°.With this more recent experiments coincide very nearly: for bycooling 100000 parts in bulk of water, from 42°.5 to 32°, they wereconverted to 100031 parts. We are indebted to the ingenuity of Mr.Dalton for (lie discovery of a very unexpected fact, that the ex-pansion of water is the same for any number of degrees above orbelow tlie maximum of density. Thus it we beat water ten degreesabove 42°.5, it occupies precisely the same bulk as it does whencooled dow n ten degrees below 42.5. Therefore the density ofwater at 32° and at 53° is precisely the same. Mr. Dalton suc-ceeded in cooling water down to the temperature of 5° withoutfreezing, or 37°.5 below'tlie maximum point ot density; and dur-ing the whole of that range, its bulk precisely corresponds with thebulk of water the same number of degrees above 42°.5. 'Finis tliehulk, of water at 5° is tlie same as the bulk ot water at 80°. 'l'liescale of expansion, therefore, which has been given tor the expan-sion of water when lieated, an-wers also for its expansion whencooled, provided tlie table begin at 42°.5, as is done in the (aide ottlie expansion of water. From ibis table it appears that the expan-sion of water, tlie original hulk being 10000, may be expressedpretty nearly by tlie following numbers:

Temp. Expan.

82°. 5. 6 s

102°,5. 8"

122°. 5.10*

142“. 5.12-

162°, 5.hi*

'Flie. greatest deviation from tbe-e. numbers is towards the begin-ning of the scales, when owing to. the smaHn.es'. of the expansion, itis ditlicuU to measure it with .precision, it leaik us to this re-markable, conclusion, that the square* of the natural numbi.s l e-ginuing at 6indicate the increase of bulk which HK'OO parts i f wa-ter e_xpenep.ee for every, ten degrees they are lieated above 82°.5,or cooled lie low 12°.5. This rule will give the reader a more pre-cise itlca of. the. rate at w.liic li water expands, when heated or cooled,than a bare inspection of the table could <lo. A considerable

number