<h2><SPAN name="CHAPTER_XIII" id="CHAPTER_XIII"></SPAN>CHAPTER XIII.</h2>
<h3>THE CHEMICAL ELEMENTS CONTRASTED WITH THE ALCHEMICAL PRINCIPLES.</h3>
<p>It was known to many observers in the later
years of the 17th century that the product of
the calcination of a metal weighs more than the
metal; but it was still possible, at that time, to
assert that this fact is of no importance to one
who is seeking to give an accurate description
of the process of calcination. Weight, which
measures mass or quantity of substance, was
thought of, in these days, as a property like
colour, taste, or smell, a property which was
sometimes decreased, and sometimes increased,
by adding one substance to another. Students
of natural occurrences were, however, feeling
their way towards the recognition of some property
of substances which did not change in the
haphazard way wherein most properties seemed to
alter. Lavoisier reached this property at one
bound. By his experimental investigations, he
taught that, however greatly the properties of one
substance may be masked, or altered, by adding
another substance to it, yet the property we call
mass, and measure by weight, is not affected by
these changes; for Lavoisier showed, that the mass
of the product of the union of two substances is
always exactly the sum of the masses of these
two substances, and the sum of the masses of the
substances whereinto one substance is divided is
<SPAN name="Page_166" id="Page_166"></SPAN>always exactly equal to that mass of the substance
which is divided.</p>
<p>For the undefined, ever-changing, protean
essence, or soul, of a thing which the alchemists
thought of as hidden by wrappings of properties,
the exact investigations of Lavoisier, and those of
others who worked on the same lines as he, substituted
this definite, fixed, unmodifiable property
of mass. Lavoisier, and those who followed in
his footsteps, also did away with the alchemical
notion of the existence of an essential substratum,
independent of changes in those properties
of a substance which can be observed by the
senses. For the experimental researches of these
men obliged naturalists to recognise, that a change
in the properties of a definite, homogeneous substance,
such as pure water, pure chalk, or pure
sulphur, is accompanied (or, as we generally say,
is caused) by the formation of a new substance or
substances; and this formation, this apparent
creation, of new material, is effected, either by
the addition of something to the original substance,
or by the separation of it into portions
which are unlike it, and unlike one another. If
the change is a combination, or coalescence, of
two things into one, then the mass, and hence the
weight, of the product is equal to the sum of
those masses, and hence those weights, of the
things which have united to form it; if the
change is a separation of one distinct substance
into several substances, then the sum of the
masses, and hence the weights, of the products is
equal to that mass, and hence that weight, of the
substance which has been separated.<SPAN name="Page_167" id="Page_167"></SPAN></p>
<p>Consider the word <i>water</i>, and the substance
represented by this word. In Chapter IV., I gave
illustrations of the different meanings which have
been given to this word; it is sometimes used
to represent a material substance, sometimes a
quality more or less characteristic of that substance,
and sometimes a process to which that substance,
and many others like it, may be subjected. But
when the word <i>water</i> is used with a definite
and exact meaning, it is a succinct expression for
a certain group, or collocation, of measurable
properties which are always found together, and
is, therefore, thought of as a distinct substance.
This substance can be separated into two other
substances very unlike it, and can be formed by
causing these to unite. One hundred parts, by
weight, of pure water are always formed by the
union of 11.11 parts of hydrogen, and 88.89
parts of oxygen, and can be separated into these
quantities of those substances. When water is
formed by the union of hydrogen and oxygen, in
the ratio of 11.11 parts by weight of the former
to 88.89 of the latter, the properties of the two
substances which coalesce to form it disappear,
except their masses. It is customary to say that
water <i>contains</i> hydrogen and oxygen; but this
expression is scarcely an accurate description of
the facts. What we call <i>substances</i> are known
to us only by their properties, that is, the ways
wherein they act on our senses. Hydrogen has
certain definite properties, oxygen has other
definite properties, and the properties of water
are perfectly distinct from those of either of the
substances which it is said to contain. It is,
<SPAN name="Page_168" id="Page_168"></SPAN>therefore, somewhat misleading to say that water
<i>contains</i> substances the properties whereof, except
their masses, disappeared at the moment when
they united and water was produced. Nevertheless
we are forced to think of water as, in a
sense, containing hydrogen and oxygen. For,
one of the properties of hydrogen is its power to
coalesce, or combine, with oxygen to form water,
and one of the properties of oxygen is its ability
to unite with hydrogen to form water; and these
properties of those substances cannot be recognised,
or even suspected, unless certain definite
quantities of the two substances are brought
together under certain definite conditions. The
properties which characterise hydrogen, and
those which characterise oxygen, when these
things are separated from all other substances,
can be determined and measured in terms of the
similar properties of some other substance taken
as a standard. These two distinct substances
disappear when they are brought into contact,
under the proper conditions, and something
(water) is obtained whose properties are very
unlike those of hydrogen or oxygen; this new
thing can be caused to disappear, and hydrogen
and oxygen are again produced. This
cycle of changes can be repeated as often
as we please; the quantities of hydrogen and
oxygen which are obtained when we choose
to stop the process are exactly the same as
the quantities of those substances which disappeared
in the first operation whereby water
was produced. Hence, water is an intimate union
of hydrogen and oxygen; and, in this sense,
<SPAN name="Page_169" id="Page_169"></SPAN>water may be said to contain hydrogen and
oxygen.</p>
<p>The alchemist would have said, the properties
of hydrogen and oxygen are destroyed when
these things unite to form water, but the essence,
or substratum, of each remains. The chemist says,
you cannot discover all the properties of hydrogen
and oxygen by examining these substances
apart from one another, for one of the most
important properties of either is manifested only
when the two mutually react: the formation of
water is not the destruction of the properties of
hydrogen and oxygen and the revelation of their
essential substrata, it is rather the manifestation
of a property of each which cannot be discovered
except by causing the union of both.</p>
<p>There was, then, a certain degree of accuracy
in the alchemical description of the processes
we now call chemical changes, as being the removal
of the outer properties of the things which react,
and the manifestation of their essential substance.
But there is a vast difference between this description
and the chemical presentment of these
processes as reactions between definite and
measurable quantities of elements, or compounds, or
both, resulting in the re-distribution, of the
elements, or the separation of the compounds into
their elements, and the formation of new compounds
by the re-combination of these elements.</p>
<p>Let us contrast the two descriptions somewhat
more fully.</p>
<p>The alchemist wished to effect the transmutation
of one substance into another; he despaired
of the possibility of separating the Elements
<SPAN name="Page_170" id="Page_170"></SPAN>whereof the substance might be formed, but he
thought he could manipulate what he called the
<i>virtues</i> of the Elements by a judicious use of some
or all of the three Principles, which he named
Sulphur, Salt, and Mercury. He could not state
in definite language what he meant by these
Principles; they were states, conditions, or qualities,
of classes of substances, which could not be
defined. The directions the alchemist was able
to give to those who sought to effect the change
of one thing into another were these. Firstly,
to remove those properties which characterised
the thing to be changed, and leave only the
properties which it shared with other things like
it; secondly, to destroy the properties which the
thing to be changed possessed in common with
certain other things; thirdly, to commingle the
Essence of the thing with the Essence of something
else, in due proportion and under proper conditions;
and, finally, to hope for the best, keep
a clear head, and maintain a sense of virtue.</p>
<p>If he who was about to attempt the transmutation
inquired how he was to destroy the specific
properties, and the class properties, of the thing
he proposed to change, and by what methods he
was to obtain its Essence, and cause that Essence
to produce the new thing, he would be told to
travel along "the road which was followed by
the Great Architect of the Universe in the
creation of the world." And if he demanded
more detailed directions, he would be informed
that the substance wherewith his experiments
began must first be mortified, then dissolved,
then conjoined, then putrefied, then congealed,
<SPAN name="Page_171" id="Page_171"></SPAN>then cibated, then sublimed, and fermented, and,
finally, exalted. He would, moreover, be warned
that in all these operations he must use, not
things which he could touch, handle, and weigh,
but the <i>virtues</i>, the <i>lives</i>, the <i>souls</i>, of such things.</p>
<p>When the student of chemistry desires to effect
the transformation of one definite substance into
another, he is told to determine, by quantitative
experiments, what are the elements, and what
the quantities of these elements, which compose
the compound which he proposes to change, and
the compound into which he proposes to change
it; and he is given working definitions of the
words <i>element</i> and <i>compound</i>. If the compound
he desires to produce is found to be composed of
elements different from those which form the
compound wherewith his operations begin, he is
directed to bring about a reaction, or a series of
reactions, between the compound which is to be
changed, and some other collocation of elements
the composition of which is known to be such
that it can supply the new elements which are
needed for the production of the new compound.</p>
<p>Since Lavoisier realised, for himself, and those
who were to come after him, the meaning of the
terms <i>element</i> and <i>compound</i>, we may say that
chemists have been able to form a mental picture
of the change from one definite substance to
another, which is clear, suggestive, and consistent,
because it is an approximately accurate description
of the facts discovered by careful and penetrative
investigations. This presentment of the
change has been substituted for the alchemical
conception, which was an attempt to express
<SPAN name="Page_172" id="Page_172"></SPAN>what introspection and reasoning on the results
of superficial investigations, guided by specious
analogies, suggested ought to be the facts.</p>
<p>Lavoisier was the man who made possible the
more accurate, and more far-reaching, description
of the changes which result in the production of
substances very unlike those which are changed;
and he did this by experimentally analysing the
conceptions of the element and the compound,
giving definite and workable meanings to these
conceptions, and establishing, on an experimental
foundation, the generalisation that the sum of the
quantities of the substances which take part in
any change is itself unchanged.</p>
<p>A chemical element was thought of by Lavoisier
as "the actual term whereat analysis has arrived,"
a definite substance "which we cannot subdivide
with our present knowledge," but not necessarily
a substance which will never be divided. A
compound was thought of by him as a definite
substance which is always produced by the union
of the same quantities of the same elements, and
can be separated into the same quantities of the
same elements.</p>
<p>These conceptions were amplified and made
more full of meaning by the work of many who
came after Lavoisier, notably by John Dalton,
who was born in 1766 and died in 1844.</p>
<p>In Chapter I., I gave a sketch of the atomic
theory of the Greek thinkers. The founder of
that theory, who flourished about 500 B.C., said
that every substance is a collocation of a vast
number of minute particles, which are unchangeable,
indestructible, and impenetrable, and are
<SPAN name="Page_173" id="Page_173"></SPAN>therefore properly called <i>atoms</i>; that the differences
which are observed between the qualities
of things are due to differences in the numbers,
sizes, shapes, positions, and movements of atoms,
and that the process which occurs when one substance
is apparently destroyed and another is
produced in its place, is nothing more than a
rearrangement of atoms.</p>
<p>The supposition that changes in the properties
of substances are connected with changes in
the numbers, movements, and arrangements of different
kinds of minute particles, was used in a
general way by many naturalists of the 17th and
18th centuries; but Dalton was the first to show
that the data obtained by the analyses of compounds
make it possible to determine the relative
weights of the atoms of the elements.</p>
<p>Dalton used the word <i>atom</i> to denote the
smallest particle of an element, or a compound,
which exhibits the properties characteristic of
that element or compound. He supposed that
the atoms of an element are never divided in
any of the reactions of that element, but the
atoms of a compound are often separated into
the atoms of the elements whereof the compound
is composed. Apparently without knowing that
the supposition had been made more than two
thousand years before his time, Dalton was led
by his study of the composition and properties
of the atmosphere to assume that the atoms of
different substances, whether elements or compounds,
are of different sizes and have different
weights. He assumed that when two elements
unite to form only one compound, the atom of
<SPAN name="Page_174" id="Page_174"></SPAN>that compound has the simplest possible composition,
is formed by the union of a single atom
of each element. Dalton knew only one compound
of hydrogen and nitrogen, namely, ammonia.
Analyses of this compound show that it
is composed of one part by weight of hydrogen
and 4.66 parts by weight of nitrogen. Dalton
said one atom of hydrogen combines with one
atom of nitrogen to form an atom of ammonia;
hence an atom of nitrogen is 4.66 times heavier
than an atom of hydrogen; in other words, if
the <i>atomic weight</i> of hydrogen is taken as unity,
the <i>atomic weight</i> of nitrogen is expressed by the
number 4.66. Dalton referred the atomic weights
of the elements to the atomic weight of hydrogen
as unity, because hydrogen is lighter than any
other substance; hence the numbers which tell
how much heavier the atoms of the elements are
than an atom of hydrogen are always greater
than one, are always positive numbers.</p>
<p>When two elements unite in different proportions,
by weight, to form more than one compound,
Dalton supposed that (in most cases at
any rate) one of the compounds is formed by the
union of a single atom of each element; the next
compound is formed by the union of one atom of
the element which is present in smaller quantity
with two, three, or more, atoms of the other
element, and the next compound is formed by
the union of one atom of the first element with
a larger number (always, necessarily, a whole
number) of atoms of the other element than is
contained in the second compound; and so on.
From this assumption, and the Daltonian conception
<SPAN name="Page_175" id="Page_175"></SPAN>of the atom, it follows that the quantities by
weight of one element which are found to unite
with one and the same weight of another element
must always be expressible as whole multiples of
one number. For if two elements, A and B, form
a compound, that compound is formed, by supposition,
of one atom of A and one atom of B;
if more of B is added, at least one atom of B
must be added; however much of B is added the
quantity must be a whole number of atoms; and
as every atom of B is the same in all respects as
every other atom of B, the weights of B added to
a constant weight of A must be whole multiples
of the atomic weight of B.</p>
<p>The facts which were available in Dalton's
time confirmed this deduction from the atomic
theory within the limits of experimental errors;
and the facts which have been established since
Dalton's time are completely in keeping with the
deduction. Take, for instance, three compounds
of the elements nitrogen and oxygen. That one
of the three which contains least oxygen is composed
of 63.64 <i>per cent.</i> of nitrogen, and 36.36
<i>per cent.</i> of oxygen; if the atomic weight of
nitrogen is taken to be 4.66, which is the weight
of nitrogen that combines with one part by
weight of hydrogen, then the weight of oxygen
combined with 4.66 of nitrogen is 2.66 (63.64:36.36 = 4.66:2.66).
The weights of oxygen
which combine with 4.66 parts by weight of
nitrogen to form the second and third compounds,
respectively, must be whole multiples of 2.66;
these weights are 5.32 and 10.64. Now 5.32 =
2.66 x 2, and 10.64 = 2.66 x 4. Hence, the
<SPAN name="Page_176" id="Page_176"></SPAN>quantities by weight of oxygen which combine
with one and the same weight of nitrogen are
such that two of these quantities are whole
multiples of the third quantity.</p>
<p>Dalton's application of the Greek atomic
theory to the facts established by the analyses
of compounds enabled him to attach to each
element a number which he called the atomic
weight of the element, and to summarise all the
facts concerning the compositions of compounds
in the statement, that the elements combine
in the ratios of their atomic weights, or in the
ratios of whole multiples of their atomic weights.
All the investigations which have been made
into the compositions of compounds, since
Dalton's time, have confirmed the generalisation
which followed from Dalton's application of the
atomic theory.</p>
<p>Even if the theory of atoms were abandoned,
the generalisation would remain, as an accurate
and exact statement of facts which hold good in
every chemical change, that a number can be
attached to each element, and the weights of the
elements which combine are in the ratios of these
numbers, or whole multiples of these numbers.</p>
<p>Since chemists realised the meaning of Dalton's
book, published in 1808, and entitled, <i>A New
System of Chemical Philosophy</i>, elements have been
regarded as distinct and definite substances,
which have not been divided into parts different
from themselves, and unite with each other in
definite quantities by weight which can be
accurately expressed as whole multiples of
certain fixed quantities; and compounds have
<SPAN name="Page_177" id="Page_177"></SPAN>been regarded as distinct and definite substances
which are formed by the union of, and can be
separated into, quantities of various elements
which are expressible by certain fixed numbers
or whole multiples thereof. These descriptions
of elements and compounds are expressions of
actual facts. They enable chemists to state the
compositions of all the compounds which are, or
can be, formed by the union of any elements. For
example, let A, B, C, and D represent four
elements, and also certain definite weights of
these elements, then the compositions of all the
compounds which can be formed by the union of
these elements are expressed by the scheme
A<sub><i>n</i></sub> B<sub><i>m</i></sub> C<sub><i>p</i></sub> D<sub><i>q</i></sub>, where <i>m</i> <i>n</i> <i>p</i> and <i>q</i> are whole
numbers.</p>
<p>These descriptions of elements and compounds
also enable chemists to form a clear picture to
themselves of any chemical change. They think
of a chemical change as being; (1) a union of
those weights of two, or more, elements which
are expressed by the numbers attached to these
elements, or by whole multiples of these numbers;
or (2) a union of such weights of two, or
more, compounds as can be expressed by certain
numbers or by whole multiples of these numbers;
or (3) a reaction between elements and compounds,
or between compounds and compounds, resulting
in the redistribution of the elements concerned,
in such a way that the complete change of composition
can be expressed by using the numbers,
or whole multiples of the numbers, attached to
the elements.</p>
<p>How different is this conception of a change
<SPAN name="Page_178" id="Page_178"></SPAN>wherein substances are formed, entirely unlike
those things which react to form them, from the
alchemical presentment of such a process! The
alchemist spoke of stripping off the outer properties
of the thing to be changed, and, by operating
spiritually on the soul which was thus laid bare,
inducing the essential virtue of the substance to
exhibit its powers of transmutation. But he was
unable to give definite meanings to the expressions
which he used, he was unable to think
clearly about the transformations which he tried to
accomplish. The chemist discards the machinery
of virtues, souls, and powers. It is true that he
substitutes a machinery of minute particles; but
this machinery is merely a means of thinking
clearly and consistently about the changes which
he studies. The alchemist thought, vaguely, of
substance as something underlying, and independent
of, properties; the chemist uses the
expression, this or that substance, as a convenient
way of presenting and reasoning about certain groups
of properties. It seems to me that if we
think of <i>matter</i> as something more than properties
recognised by the senses, we are going back on
the road which leads to the confusion of the
alchemical times.</p>
<p>The alchemists expressed their conceptions in
what seems to us a crude, inconsistent, and very
undescriptive language. Chemists use a language
which is certainly symbolical, but also intelligible,
and on the whole fairly descriptive of the facts.</p>
<p>A name is given to each elementary substance,
that is, each substance which has not been decomposed;
the name generally expresses some
<SPAN name="Page_179" id="Page_179"></SPAN>characteristic property of the substance, or tells
something about its origin or the place of its
discovery. The names of compounds are formed
by putting together the names of the elements
which combine to produce them; and the relative
quantities of these elements are indicated either
by the use of Latin or Greek prefixes, or by
variations in the terminal syllables of the names
of the elements.</p>
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