Pyrometry: A Practical Treatise on the Measurement of High TemperaturesDarling, Charles R. (Charles Robert)
Science
Pyrometry: A Practical Treatise on the Measurement of High Temperatures
Darling, Charles R. (Charles Robert)
Pyrometry
_Example._—Le Chatelier found that a junction at the
temperature of melted aluminium (657° C.) gave 6200
microvolts; at the melting point of copper in air (1062° C.)
the figure was 10580. Applying in the above formula
log 6200 = A log 657 + B
and log 10580 = A log 1062 + B,
the value of A is 1·2196 and of B 0·302, as may be found
by taking logarithms and solving for A and B.
The values of the constants A and B vary for different junctions, and
also for different melts of what are reputed to be the same materials.
When once determined for a quantity of homogeneous wires, to which
the formula applies with sufficient accuracy, it is evident that an
indicator with a millivolt scale may be made to read temperatures
directly without any necessity for further experiment, although it is
always advisable to take one check reading at a fixed point in the
working range.
[Illustration: FIG. 16.—POTENTIOMETER METHOD OF MEASURING E.M.F.]
In order to determine the E.M.F. of a junction at different
temperatures, the potentiometer method is used, in which the E.M.F.
of the test-couple is balanced against the known E.M.F. furnished by
a constant cell. The circuit is shown in fig. 16, in which B is an
accumulator which sends a current through the resistances R_{1}, R_{2},
and the calibrated wire DE. The cold ends of the couple are attached
at P so as to be in opposition to B, and in this branch of the circuit
are included a sensitive galvanometer G and a portion of the wire DE. A
standard cadmium cell, S, is connected between R_{1} and R_{2} at one
end, and may be put in circuit with the galvanometer through the switch
A. In commencing, S is connected to the galvanometer and R_{1} adjusted
until no deflection is obtained on G. The switch A is now moved over
to the circuit of the couple, and the terminal F moved along the wire
until zero deflection is again obtained. The E.M.F. of the couple is
determined from the relation
E of junction Resistance of DF
────────────────── = ───────────────── .
E of standard cell R_{2}
By exposing the hot end of the junction to successive standard
temperatures, and maintaining the cold ends at a known constant
temperature, the necessary data for inclusion in a formula may be
obtained.
In fixing a permanent temperature scale, calculated from the formula,
to a millivoltmeter, it must be remembered that the values given by
the experiment are absolute, and independent of the resistance of the
circuit composed of the thermo-element and galvanometer. On the other
hand, a millivoltmeter is marked to read difference of potential at
its terminals; and if in series with a junction and leads of notable
resistance, its indications will not be the E.M.F. of the junction. An
example will make this point clear.
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