Answer:
100.71 cm H2O
Explanation:
In a fluid column barometer, the height of the fluid column is proportional to the pressure. The pressure is by definition:
, where F is a force and A is the area.
In a column barometer the force is given by the weight of the fluid:
, and the mass may be expressed as
, where
is the density and V is the volume.
Replacing this in the pressure definition:
In a constant cross section area column, the volume may be calculated as:
where A is the area and h the height. Replacing this in the previous equation:
Different columns may be over the same pressure, so:
Dividing each part for gravity constant:
And isolating hw:
mm
It is equal to 1007,1 cm.