O Level Physics Notes: Manometers
It is basically a glass tube closed at one end, the other end open
to the atmosphere. The closed end contains a gas, separated from the
atmosphere by liquid in a 'U' bend, shown in blue above. The gas in
the bulb exerts a pressure,
and
pushes the liquid around the U bend until forces on the surfaces of
the two surfaces of the liquid are useful.
The gas in the bulb 4 exerts a pressure
We
calculate the force exerted on the surface using the equation
![]()
so the force exerted on the left hand liquid surface 3 by the gas
is![]()
This force must be balance by an equal and opposite force exerted
at 2 by the atmosphere and the liquid. The atmosphere exerts a
pressure equally in all directions, of about
so
using (1) again, the pressure exerted by the atmosphere is![]()
To find the force at 2 we must add to this the force exerted at 2
by the column of liquid between 1 and 2. The pressure exerted by a
column of liquid of height
is
where
is
the density and
so
the force exerted by this column of liquid is
using
(1) again.
Equating forces at 3 and 2 gives
![]()
If the mass and temperature of gas in the glass bulb is kept
constant, a manometer can be used to measure atmospheric pressure. If
the gas is pumped out so that there is a vacuum in the bulb then
The
liquid in the U bend will move towards the bulb end and the pressure
exerted by the liquid will be useful to atmospheric pressure.