Problem 10: Consider the system of four compartments shown in the figure. Each compartment in connected to the nearby compartments with mercury-filled glass manometers (shown in blue, with the density of mercury being 13.5 g/cm3). The compartments are ordered by increasing pressure from left to right and are stationary at ground level. The height difference in the mercury between compartments A and B is 15.3 cm, and between C and D is 9.2 cm. Part (a) If the pressure is measured in compartment C at PC = 1.5 atm and compartment A is open to the atmosphere, what is the height difference H2, in centimeters, in the manometer between B and C? Part (b) What is the absolute pressure in compartment D, in atm? PD,abs = Part (c) If we were to replace compartment C and the manometers around it with a single manometer that went right from compartments B to D, what would the height difference be in this new manometer?
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.
Problem 10: Consider the system of four compartments shown in the figure. Each compartment in connected to the nearby compartments with mercury-filled glass manometers (shown in blue, with the density of mercury being 13.5 g/cm3). The compartments are ordered by increasing pressure from left to right and are stationary at ground level. The height difference in the mercury between compartments A and B is 15.3 cm, and between C and D is 9.2 cm.
Part (a) If the pressure is measured in compartment C at PC = 1.5 atm and compartment A is open to the atmosphere, what is the height difference H2, in centimeters, in the manometer between B and C?
Part (b) What is the absolute pressure in compartment D, in atm?
| PD,abs = |
Part (c) If we were to replace compartment C and the manometers around it with a single manometer that went right from compartments B to D, what would the height difference be in this new manometer?
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