Sidebilder
PDF
ePub

separated forms of the same condition of matter, and may be made to pass one into the other without any interruption or breach of continuity'.

The diagram, Fig. 1, for carbonic acid is taken from Dr Andrews' paper, with the exception of the dotted line shewing the region within which the substance can exist as a liquid in presence of its vapour. The base line of the diagram corresponds, not to zero pressure, but to a pressure of 47 atmospheres.

The lowest of the isothermal lines is that of 13°1 C. or 55°.6 F.

This line shews that at a pressure of about 47 atmospheres condensation occurs. The substance is seen to become separated into two distinct portions, the upper portion being in the state of vapour or gas, and the lower in the state of liquid. The upper surface of the liquid can be distinctly seen, and where this surface is close to the sides of the glass containing the substance it is seen to be curved, as the surface of water is in small tubes.

As the volume is diminished, more of the substance is liquefied, till at last the whole is compressed into the liquid form.

Liquid carbonic acid, as was first observed by Thilorier, dilates as the temperature rises to a greater degree than even a gas, and, as Dr Andrews has shewn, it yields to pressure much more than any ordinary liquid. From Dr Andrews' experiments it also appears that its compressibility diminishes as the pressure increases. These results are apparent even in the diagram. It is, therefore, far more compressible than any ordinary liquid, and it appears from the experiments of Andrews that its compressibility diminishes as the volume is reduced.

It appears, therefore, that the behaviour of liquid carbonic acid under the action of heat and pressure is very different from that of ordinary liquids, and in some respects approaches to that of a gas.

The

If we examine the next of the isothermals of the diagram, that for 215 C. or 70°-7 F., the approximation between the liquid and the gaseous states is still more apparent. Here condensation takes place at about 60 atmospheres of pressure, and the liquid occupies nearly a third of the volume of the gas. exceedingly dense gas is approaching in its properties to the exceedingly light liquid. Still there is a distinct separation between the gaseous and liquid states, though we are approaching the critical temperature. This critical temperature has been determined by Dr Andrews to be 30°-92 C. or 87°.7 F. At this temperature, and at a pressure of from 73 to 75 atmospheres, 1 Phil. Trans. 1869, p. 575.

No sepa

carbonic acid appears to be in the critical condition. ration into liquid and vapour can be detected, but at the same time very small variations of pressure or of temperature produce such great variations of density that flickering movements are observed in the tube "resembling in an exaggerated form the appearances exhibited during the mixture of liquids of different densities, or when columns of heated air ascend through colder strata."

The isothermal line for 31°1 C. or 88° F. passes above this critical point. During the whole compression the substance is never in two distinct conditions in different parts of the tube. When the pressure is less than 73 atmospheres the isothermal line, though greatly flatter than that of a perfect gas, resembles it in general features. From 73 to 75 atmospheres the volume diminishes very rapidly, but by no means suddenly, and above this pressure the volume diminishes more gradually than in the case of a perfect gas, but still more rapidly than in most liquids.

In the isothermals for 32o5 C. or 90°-5 F. and for 35o-5 C. or 95°-9 F. we can still observe a slight increase of compressibility near the same part of the diagram, but in the isothermal line for 48°.1 C. or 118°.6 F. the curve is concave upwards throughout its whole course, and differs from the corresponding isothermal line for a perfect gas only by being somewhat flatter, shewing that for all ordinary pressures the volume is somewhat less than that assigned by Boyle's law.

Still at the temperature of 118° 6 F. carbonic acid has all the properties of a gas, and the effects of heat and pressure on it differ from their effects on a perfect gas only by quantities requiring careful experiments to detect them.

We have no reason to believe that any phenomenon similar to condensation would occur, however great a pressure were applied to carbonic acid at this temperature.

CAMBRIDGE: PRINTED BY C. J. CLAY, M.A., AT THE UNIVERSITY PRESS.

March 1879.

MACMILLAN & Co.'s CATALOGUE of WORKS in MATHEMATICS and PHYSICAL SCIENCE; including PURE and APPLIED MATHEMATICS; PHYSICS, ASTRONOMY, GEOLOGY, CHEMISTRY, ZOOLOGY, BOTANY; and of WORKS in MENTAL and MORAL PHILOSOPHY and Allied Subjects.

MATHEMATICS.

Airy.-Works by Sir G. B. AIRY, K.C.B., Astronomer Royal :

ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. New Edition. Crown 8vo. 5s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS. Second Edition. Crown 8vo. 6s. 6d.

UNDULATORY THEORY OF OPTICS. Designed for the Use of Students in the University. New Edition. Crown 8vo. 6s. 6d. ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students of the University. Second Edition, revised and enlarged. Crown 8vo.

gs.

A TREATISE ON MAGNETISM.

Designed for the Use of

Students in the University. Crown 8vo. 95. 6d.

A

Ball (R. S., A.M.)—EXPERIMENTAL MECHANICS. Course of Lectures delivered at the Royal College of Science for Ireland. By Robert STAWELL BALL, A. M., Professor of Applied Mathematics and Mechanics in the Royal College of Science for Ireland (Science and Art Department). Royal 8vo. 16s.

"We have not met with any book of the sort in English. It elucidates instructively the methods of a teacher of the very highest rank. We most cordially recommend it to all our readers."Mechanics' Magazine.

[blocks in formation]

Bayma.-THE ELEMENTS OF MOLECULAR MECHANICS. By JOSEPH BAYMA, S.J., Professor of Philosophy, Stonyhurst College. Demy 8vo. cloth. IOS. 6d.

Boole.-Works by G. BOOLE, D.C.L, F.R.S., Professor of Mathematics in the Queen's University, Ireland :—

A TREATISE ON DIFFERENTIAL EQUATIONS. Third Edition. Edited by I. TODHUnter. Crown 8vo. cloth. 145.

66

A treatise incomparably superior to any other elementary book on the subject with which we are acquainted."-Philosophical Magazine. A TREATISE ON DIFFERENTIAL EQUATIONS. Supplementary Volume. Edited by I. TODHUNTER. Crown 8vo. cloth. 8s. 6d.

THE CALCULUS OF FINITE DIFFERENCES. Crown 8vo. cloth. IOS. 6d. New Edition revised.

Cheyne.

ΑΝ

ELEMENTARY TREATISE ON THE PLANETARY THEORY. With a Collection of Problems. By C. H. H. CHEYNE, M.A., F.R.A.S. Second Edition. Crown 8vo. cloth. 6s. 6d.

Clifford.-THE ELEMENTS OF DYNAMIC. An Introduction to the study of Motion and Rest in Solid and Fluid Bodies. By W. K. CLIFFORD, F. R.S., Professor of Applied Mathematics and Mechanics at University College, London. Part I.—Kinematic. Crown 8vo. 7s. 6d.

Cumming.-AN INTRODUCTION TO THE THEORY OF ELECTRICITY. With numerous Examples. By LINNEUS CUMMING, M. A., Assistant Master at Rugby School. Crown 8vo. 8s. 6d.

Cuthbertson.--EUCLIDIAN GEOMETRY. By F. CUTHBERTSON, M.A., Head Mathematical Master of the City of London School. Extra fcap. 8vo. 4s. 6d.

Ferrers. Works by the Rev. N. M. FERRERS, M. A., F.R. S., Fellow and Tutor of Gonville and Caius College, Cambridge :—

Crown 8vo.

6s. 6d.

AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDI-
NATES, the Method of Reciprocal Polars, and the Theory of
Projectors. Third Edition, revised.
SPHERICAL HARMONICS AND SUBJECTS CONNECTED
WITH THEM. Crown 8vo. 7s. 6d.

[blocks in formation]

Frost.-Works by PERCIVAL FROST, M.A., late Fellow of St. John's College, Mathematical Lecturer of King's Coll. Cambridge:THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA. With Notes and Illustrations. Also a Collection of Problems, principally intended as Examples of Newton's Methods. Third Edition. 8vo. cloth. 125.

AN ELEMENTARY TREATISE ON CURVE TRACING. 8vo. 125.

SOLID GEOMETRY. Being a New Edition, revised and enlarged, of the Treatise by FROST and Wolstenholme. Vol. I. 8vo. 16s. Godfray.-Works by HUGH GODFRAY, M.A., Mathematical Lecturer at Pembroke College, Cambridge :

A TREATISE ON ASTRONOMY, for the Use of Colleges and Schools. Svo. cloth, 12s. 6d.

It is a book

"It is a working book," says the Guardian, “taking Astronomy
in its proper place in the Mathematical Sciences.
which is not likely to be got up unintelligently."

AN ELEMENTARY TREATISE ON THE LUNAR
THEORY, with a Brief Sketch of the Problem up to the time of
Newton. Second Edition, revised. Crown 8vo. cloth. 5s. 6d.
As an elementary treatise and introduction to the subject, we think
it may justly claim to supersede all former ones."-London, Edin-
burgh, and Dublin Phil. Magazine.

Green (George).-MATHEMATICAL PAPERS OF THE LATE GEORGE GREEN, Fellow of Gonville and Caius College, Cambridge. Edited by N. M. FERRERS, M.A., Fellow and Tutor of Gonville and Caius College. 8vo. 15s.

"It has been for some time recognized that Green's writings are amongst the most valuable mathematical productions we possess."Athenæum.

Hemming. AN ELEMENTARY TREATISE ONTHE DIFFERENTIAL AND INTEGRAL CALCULUS. For the Use of Colleges and Schools. By G. W. HEMMING, M.A., Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo. cloth. 9s.

Jackson.-GEOMETRICAL CONIC SECTIONS.

An Ele

mentary Treatise in which the Conic Sections are defined as the
Plane Sections of a Cone, and treated by the Method of Projections.
By J. STUART JACKSON, M. A., late Fellow of Gonville and Caius
College. Crown 8vo. 4s. 6d.

A 2

« ForrigeFortsett »