Response to the following problem:
The length of the mercury column in the old-fashioned mercury-in-glass thermometer is 15.00em when the thermometer is in contact with water at its triple point. Consider the length of the mercury column as the thermometric property X and let θ be the empirical temperature determined by this thermometer.
(a) Calculate the empirical temperature when the length of the mercury column is 19.00cm.
(b) If X can be measured with a precision of 0.01 em, can this thermometer distinguish between the normal freezing point of water and the triple point of water?