A tall cylinder with a cross-sectional area 15 cm 2 is partially filled with mercury; the surface of the mercury is 6.00 cm above the bottom of the cylinder. Water is slowly poured in on top of the mercury, and the two fluids don’t mix. What volume of water must be added to double the gauge pressure at the bottom of the cylinder?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A tall cylinder with a cross-sectional area 15 cm 2 is partially filled with mercury; the surface of
the mercury is 6.00 cm above the bottom of the cylinder. Water is slowly poured in on top of
the mercury, and the two fluids don’t mix. What volume of water must be added to double the
gauge pressure at the bottom of the cylinder?
Step by step
Solved in 2 steps with 2 images
