Answer the following questions related to measurement of atmospheric pressure:
(i) Explain why mercury is preferred over water in the construction of a barometer, referring to both column height and vapor pressure considerations.
(ii) Calculate the height of a water column that would correspond to standard atmospheric pressure of 1.013×105Pa. Discuss the practical difficulties of using water for a barometer.
(iii) Distinguish clearly between gauge pressure and absolute pressure, illustrating your answer with the working of a barometer.