Q. A constant volume gas thermometer works on

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Solution:

A constant volume gas thermometer ususally consists of a bulb filled with a fixed amount of a dilute gas which is attached to a mercury manometer.
The manometer is used to measure variation in pressure.
This thermometer works on the principle of Law of Gay-Lussac.
The law states that when the temperature of an ideal gas increases, there is a corresponding increase in pressure.
Also, when the temperature decreases, the pressure too decreases correspondingly.
This is how constant volume gas thermometers traces the increase in temperature with the change in pressure while the volume remains constant.
These types of thermometers are used in calibration of various other thermometers.