Thermodynamics: We need to purify some mercury that has been contaminated in our labs. We intend to do this by distillation at 100 C. The distillation apparatus will operate at the boiling pressure of mercury at this temperature. What is your best estimate of this pressure? The following data for mercury are available:

The normal boiling point of mercury is 357 C. The heat of vaporization is 70.4 cal/g. The molar mass is 200.6.

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You are working as a research assistant for a professor whose research area is thermodynamics. He points out to you that Daniel Fahrenheit used the best estimate of normal human body temperature as one of the points in defining the original Fahrenheit temperature scale. On the revised scale we now use, normal human body temperature is 98.6°F. Your professor proposes a new scale on which normal human body temperature would be exactly 100°N, where the unit °N is a degree on the New scale. The temperature of freezing water would be 0°N, as on the Celsius scale. Your professor asks you to determine the following temperatures on his new scale:

(a) absolute zero,

(b) the melting point of mercury (−37.9°F),

(d) the highest recorded air temperature on the Earth’s surface. 134.1°F on July 10, 1913, in Death Valley, California.