What is pressure in pascals exerted by column of mercury 785mm high?

Question

What is pressure in pascals exerted by column of mercury 785mm high?

Answer 1

density of mercury is 13.534  g·cm−3

pascal is  one newton per square meter

13.534  g/cm³ x 1kg/1000g x 100³cm³/m³ = 13534 kg/m³

so on an area of 1 m² you have a height of 0.785 m.

this would weighmass:

13534 kg/m³ x  0.785 m³ = 10624 kg

which has a force of 104117 N

so a force of 104117 N applied over 1 m² = 104117 pascals.

Answer 2

assuming the density of mercury is 13,000kg/m^3

Pressure=pgh

Pressure=(13,000)(9.8)(0.785)

Pressure=100,009 Pascals

Answer 3

Using the equation: p= density x gravitational force x height

The density of Mercury is ~13.6 x 10³ kg/m³

gravity = 9.8 m kg m/s²

height=785 mm-> 0.785 m

p=(13.6 x 10³) (9.8) ( 0.785)

104,625 N/m²  = 104,625 Pascals