When a certain ideal gas thermometer is immersed in a water-ice mixture at (273.15 mathrm{~K}), the mercury

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When a certain ideal gas thermometer is immersed in a water-ice mixture at \(273.15 \mathrm{~K}\), the mercury level in the right arm is \(102 \mathrm{~mm}\) above the reference mark. When this thermometer is then immersed in a liquid of unknown temperature, the mercury level is \(29 \mathrm{~mm}\) above the reference mark.

(a) What is the temperature of the liquid?

(b) What is a potential source of error in this measurement?

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