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A gallium thermometer is used to measure the temperature of the steel. It consists of a quartz glass bulb completely full of liquid gallium

A gallium thermometer is used to measure the temperature of the steel. It consists of a quartz glass bulb 

A gallium thermometer is used to measure the temperature of the steel. It consists of a quartz glass bulb completely full of liquid gallium (gallium has a melting point of 302.9 K) with a volume of 0.5 cm. This is connected to a vertical glass cylinder. If the volume expansivity of gallium is 1.2 104 K and for quartz glass is 1.0 106 K, and the top of the gallium rises 2.1 cm for a 10 K increase in temperature, calculate the diameter of the cylinder. State any assumptions that you make to simplify your calculation.

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