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6.3. The determinationofatmospheric pressure andits influence onanalytical weighings
The demands in respect to the accuracy of analytical and especially of micro-analytical weighings are
often extreme. Even though the accuracy required for the end result is usually only 1 %, the require-
ment of a much higher accuracy is conditioned by the necessity of also having to weigh the mass of
the tare which often exceeds to a considerable degree that of the proper sample.
In Order to improve accuracy, it is necessary to systematically eliminate all sources of errors. One of
the most critical factors in this respect is the elimination of the influence of the air buoyancy. To what
extent it may be necessary to take this factor into account, depends — aside from the required toler-
ances - on the specific weight of the sample in relation to that of the weights used.
Felgentraeger1) in “Feine Waagen, Waegungen und Gewichte" draws attention to the fact that most
chemists either are not aware of the significance of air buoyancy or fall to do anything about it because
the procedure seems too complicated.
The tables provided by that author furnish the necessary information for all respective calculations up
to the most exacting requirements. Lately, H. Ulbricht has published two papers on the significance of
air buoyancy2). These publications give information only on the importance of air buoyancy without
furnishing data on how to determine it. It is exactly this point, however, which causes difficulties.
The tables found in Kohlrausch and D'Ans/Lax3) can be used only for a coarse reduction of mass rela-
tive to vacuum at normal air pressures. They cannot be used for determining changes in buoyancy
caused by variations of atmospheric pressure.
This paper presents an attempt at furnishing to the chemist information which will enable him in a sim-
ple manner to determine atmospheric pressure and to use this information for analytical weighings. lt is
hoped that in this way a contribution is being made towards the full utilization of the inherent accuracy
of modern analytical balances by those who need it.
One must first distinguish between the determination of the absolute mass i.e. the reduction of the
found values to vacuum atmosphere and the determination of the influence of changes of air buoy-
ancy. The latter are significant also in „relative" weighings.
Usually, only the second case will be of practical interest. Since the required corrections in this case
amount to only 1/10th of those required in the first instance, it may, sometimes, be unnecessary to ap-
ply these corrections at all. This does not mean that one should not be aware of the magnitude of cor-
rection and consider the questions of its application.
Calculating variations of atmospheric pressure
The atmospheric pressure is governed by the barometer reading, which in turn depends on tempera-
ture and absolute air humidity. The latter can be determined from the relative humidity and tempera-
ture. The following equation indicates the relation between the change of air pressure UD in % and
these factors. Herein, Ub is the Variation of the barometer reading in mm of mercury, Ut the change
in temperature, t the temperature in °C and Uf the change of the relative humidity in %.
(1) UD = 0,13 Ub - 0,35 Ut – 0,0005 t ∙Uf [%]
Thus, a change of air buoyancy of 0.1 % is caused at t = 20° by a change in air pressure of Ub = + 0.8
mm Hg or a temperature Variation of Ut = - 0.29° or a change in humidity of Uf = -10%.
This equation applies in the range from 5 to 30°C. The tables, fig. 1 facilitates the use of this equation
since the three factors can easily be found there.
One can see at first glance that the effect of humidity changes is relatively small for which reason it
can often be disregarded. The following example is indicative of the actually possible conditions: