The barometer shown in the figure below contains mercury If

The barometer shown in the figure below contains mercury. If the local atmospheric pressure is 100 kPa and g = 9.81 m/s^2, determine the height of the mercury column, L, in mm of Hg and in. of Hg. The density of mercury is 13.59 g/cm^3. Show all unit conversions!

Solution

Here Patm = P mercury

100kpa = density*9.81*L

L = 100000/13.59*1000*9.81=0.7500 m= 750 mm of hg

L = 29.52 in of hg