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FunctionThis barometer is most likely for demonstrational purposes, as it has no scale. It would be used to demonstrate how a barometer reacts to the evacuation of a chamber like the bell jar in which it is kept.
The barometer would have been set up uncovered, so that the mercury would rise inside the column up to the height corresponding to atmospheric pressure (about 760mmHg). If one then placed it inside the bell jar and started to evacuate it with a vacuum pump, the mercury level inside the glass column would move down. In a good vacuum (probably not attainable with this simple system) once evacuated the mercury level in the long tube would be the same as the one in the vessel.