=177. Specific Heat.=--In the study of density and specific gravity it
is made clear that different substances differ widely in the amount of
matter contained in equal volumes, _e.g._, lead is much denser than
water. The study of the relative densities of substance is usually
considered under the subject of _specific gravity_.
_Specific heat_ as distinguished from specific gravity is concerned with
the _capacity_ for heat possessed by different substances. The
definition for specific heat is: _The ratio of the amount of heat
required to change the temperature of a given mass of a substance 1 C.
degree to the amount of heat required to change the temperature of the
same mass of water 1 C. degree._ By definition, it requires 1 calorie to
raise the temperature of the gram of water 1°C. The _specific heat_
therefore of water is taken as one. The specific heat of most substances
except hydrogen, is _less_ than that of water, and as a rule, the denser
the body the less its specific heat, as may be observed in the following
table:
---------+----------+----------
| Specific | Specific
| gravity | heat
---------+----------+----------
Gold | 19.3 | 0.032
Mercury | 13.6 | 0.033
Copper | 8.9 | 0.093
Brass | 8.4-8.9 | 0.094
Nickel | 8.57 | 0.11
Iron | 7.5+ | 0.1125
Aluminum | 2.67 | 0.218
Glass | 2.5-3.6 | 0.19
Ice | 0.918 | 0.504
Air | 0.00129 | 0.237
Steam | 0.00061 | 0.480
Hydrogen | 0.00009 | 3.409
---------+----------+----------
=178. Method of Determining Specific Heat.=--The specific heat of a body
is usually determined by what is called the _method of mixtures_.
For example, a definite weight of a substance, say a 200-g. iron
ball, is placed in boiling water until it has the temperature of
the hot water, 100°C. Suppose that 300 g. of water at 18°C. be
placed in a calorimeter, and that the hot iron ball on being placed
in the water raises its temperature to 23.5°C. The heat received by
the water equals 5.5 × 300 = 1650 calories. This must have come
from the heated iron ball. 200 g. of iron then in cooling 76.5°C.
(100°-23.5°) gave out 1650 calories. Then 1 g. of iron in cooling
76.5°C. Would give out 8.25 calories or 1 g. of iron cooling 1°C.
would yield about 0.11 calorie. The specific heat of the iron is
then 0.11. For accurate determination the heat received by the
calorimeter must be considered.
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