Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly ExplainedMarcet, Mrs. (Jane Haldimand)
Science
Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly Explained
Marcet, Mrs. (Jane Haldimand)
Physics
You must observe, that when you weigh a body in water, in order to
ascertain its specific gravity, you must not sink the dish of the
balance in the water; but either suspend the body to a hook at the
bottom of the dish, or else take off the dish, and suspend to the arm of
the balance a weight to counterbalance the other dish, and to this
attach the solid to be weighed, (fig. 7.) Now suppose that a cubic inch
of gold, weighed 19 ounces out of water, and lost one ounce of its
weight by being weighed in water, what would be its specific gravity?
_Caroline._ The cubic inch of water it displaced, must weigh that one
ounce; and as a cubic inch of gold, weighs 19 ounces, gold is 19 times,
as heavy as water.
_Emily._ I recollect having seen a table of the comparative weights of
bodies, in which gold appeared to me to be estimated at 19 thousand
times, the weight of water.
_Mrs. B._ You misunderstood the meaning of the table. In the estimation
you allude to, the weight of water was reckoned at 1000. You must
observe, that the weight of a substance when not compared to that of any
other, is perfectly arbitrary; and when water is adopted as a standard,
we may denominate its weight by any number we please; but then the
weight of all bodies tried by this standard, must be signified by
proportional numbers.
_Caroline._ We may call the weight of water, for example, one, and then
that of gold, would be nineteen; or if we choose to call the weight of
water 1000, that of gold would be 19,000. In short, specific gravity,
means how many times more a body weighs, than an equal bulk of water.
_Mrs. B._ It is rather the weight of a body compared with a portion of
water equal to it in bulk; for the specific gravity of many substances,
is less than that of water.
_Caroline._ Then you cannot ascertain the specific gravity of such
substances, in the same manner as that of gold; for a body that is
lighter than water, will float on its surface, without displacing any of
it.
_Mrs. B._ If a body were absolutely without weight, it is true that it
would not displace a drop of water, but the bodies we are treating of,
have all some weight, however small; and will, therefore, displace some
quantity. If the body be lighter than water, it will not sink to a level
with its surface, and therefore it will not displace so much water as is
equal to its bulk; but only so much, as is equal to its weight. A ship,
you must have observed, sinks to some depth in water, and the heavier it
is laden, the deeper it sinks, as it always displaces a quantity of
water, equal to its own weight.
_Caroline._ But you said just now, that in the immersion of gold, the
bulk, and not the weight of body, was to be considered.
_Mrs. B._ That is the case with all substances which are heavier than
water; but since those which are lighter, do not displace so much as
their own bulk, the quantity they displace is not a test of their
specific gravity.
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