Br2 is a liquid with a density of 3.03 g/mL.?

Question

Determine the pressure in atm exerted by a column containing Br2 at a height of 1000 mm. The density of mercury is 13.6 g/mL.

Please explain.. thanks

Answer 1

Br2 is a liquid with a density of 3.03 g/mL, or 3.03 g/cm^3.  hence the pressure exerted by a column containing Br2 at a height of 1000 mm, or 100 cm, is:

(3.03 g/cm^3)* (100 cm) = 303 g/cm^2.

The mercury at the same pressure would have a height of:

(303 g/cm^2)/(13.6 g/cm^3) = 22.3 cm = 223 mm

Since one atm is 760 mm Hg, 223 mm Hg is:

(223/760) atm = 0.293 atm