At
very low temperatures, the molar specific heat of many solids is
(approximately)
proportional to
|
Solution: Click For PDF Version Let us assume that change of temperature of the sample of aluminium from 5.0 to 10 K is by a quasi-static process. In this situation the entropy change can be calculated from the specific heat at constant volume, which varies with temperature as
where n
is the amount of the substance in moles. The change in entropy when
the temperature of the sample is raised from
and
|
;
that is
,
where A depends on the particular substance. For aluminium,
.
We have to find the entropy change of 4.8 mol
of aluminium when its temperature is raised
from 5.0 to
10 K.
to
will be given by the integral
