I know how to use a thermometer to determine the pressure (the Klayperon-Clausius equation) or to conduct an experiment with heating water to a boil, and look at the table of the dependence of the boiling point on the pressure, but how to use a barometer to determine the temperature?
The density of mercury will change with an increase or decrease in temperature, so reading must be adjusted for the temperature of the instrument. For this purpose, a mercury thermometer is usually mounted on the instrument. Temperature compensation of an aneroid barometer is accomplished by including a bi-metal element in the mechanical linkages. Aneroid barometers sold for domestic use typically have no compensation under the assumption that they will be used within a controlled room temperature range.