Consider the system shown in Fig. P3-51. If a change of 0.9 kPa in the pressure of air causes the brine-mercury interface in the ratio to right column to drop by 5 mm in the brine level in the right column while the pressure in the bine pipe remains constant, determine.
The ratio of
Answer to Problem 51P
The ratio of
Explanation of Solution
Given information:
The change in pressure is
The following figure shows the arrangement of the liquids in the differential tube.
Figure-(1)
Write the expression for equating the pressure of the fluids in both the limbs initially.
Here, the initial pressure of air is
Pressure in the left side of the limb is equal to the pressure in the right limb.
Write the expression for equating the pressure of the fluid in both the limbs after the pressure drop of air.
Here, the final pressure of the air is
Substitute
Here, the change in differential mercury height is
Write the equation for the volume of brine as it remains constant.
Write the expression change of mercury level in the arrangement.
Substitute
Substitute
Here, the pressure difference is
Calculation:
Substitute
Conclusion:
The ratio of
Want to see more full solutions like this?
Chapter 3 Solutions
Fluid Mechanics: Fundamentals and Applications
- In the system in the attached image, a pressure change of 35 kPa in pressure of air occurs. Here the brine-mercury interface in the right vertical tube drops by 6 mm in the brine level, while the pressue in the brine pipe remains constant. What is the ratio of A2/A1?arrow_forwardSolve the problem with a complete solution.The left limb of U-tube mercury manometer is connected to a pipe line conveying water. The level of the mercury in the left limb is 0.6 m below the centre of the pipe line and right limb is open to the atmosphere. The level of the mercury in the right limb is 0.45 m above that in the left limb and the space above the mercury in the right limb contains benzene of specific gravity 0.88 to a height of 0.3 m. Find the pressure of water in the pipe.arrow_forwardTwo tanks are linked together by a pipe and a tapfarm. The temperature of the gases they contain is equal while the pressures and volumes are as follows. Calculate the equilibrium pressure after opening the valve. Answer H = 3.26 marrow_forward
- Consider a differential manometer whose ends are connected to two different pipes A andB and containing different liquids at different levels. Let us assume that the pressure at point A is more than that at point B. Oil is in pipe A whose density 800 kg/m³ shows a difference in mercury levels as 100 mm. The height of oil between center of pipe A to the mercury level in left limb is 200 mm. Methanol (relative density 0.791) is in pipe B and the height of Methanol between center of pipe B and mercury level in the right limb is 5 cm. Calculate the difference in pressures at the two points A and B.arrow_forwardFind the difference in pressure between tanks A and B in kPa shown in Fig. 2-64 if d1, d2, d3, and d4 are equal to 320 mm,150 mm,494 mm, and 166 mm, respectively.arrow_forwardConsider the system shown below. If a change of 0.7 kPa in the pressure of air causes the brine-mercury interface in the right column to drop by 5 mm in the brine level in the right column while the pressure in the brine pipe remains constant, determine the ratio of A2/A1. Brine pipe SG= 1.1 Air Water Mercury SG = 13.56 Area, A₁ Area, A₂arrow_forward
- The left limb of a Simple U-tube manometer containing mercury is open to atmosphere, while the right limb is connected to a pipe in which a fluid of specific gravity 0.75 is flowing. The center of pipe is 9.5 cm below the level of mercury in the left limb. Find the pressure of fluid in the pipe if the difference of mercury level in the two limbs is 21.5 cm with the help of a diagram. Paragraph - BI IIarrow_forwardThe level of mercury in the right limb is 0.6m above that in the left limb and the space above mercury in the rightlimb contains benzene (SG=0.88) to a height of 0.4m. The left limb of a U-tube manometer is connected to a pipe conveying water, the level of mercury (SG=13.6) in the leg being 0.8m below the center of the pipeline and the right limb is open to atmosphere. Determine the pressure ofwater in the pipe.arrow_forwardA tank with a height of 1m contains equal volumes of waterliquid and vapor. The gauge pressure at the top of thetank is 200 kPa g.to. Determine the pressure at the vapor-liquid interface.b. Evaluate the pressure variation between the top and thetank bottom, as a percentage of measured pressure.Assume that Po (ambient atmospheric pressure) is 101 kPa andthat the densities of the liquid and vapor phases are 93 kg / m3and 1,655 kg / m ^ 3 respectively. see imgarrow_forward
- The right limb of a simple U-tube manometer containing mercury is open to the atmosphere while the left limb is connected to a pipe in which a fluid of SG = 0.9 is flowing. The center of the pipe is 12 cm below the level of mercury in the right limb. Find the pressure of fluid in the pipe if the difference of mercury level in the two limbs is 20 cm. Use SGHg = 13.6. P A 12 I 21K 20 cmarrow_forwardVisualize a fluid in a cylindrical tank of uniform cross sectional area sitting on the floor. As the elevation from the floor increases, the observed pressure at that point. increases decreases remains the same cannot be determinedarrow_forwardYou want to size a hollow sphere made of bronze with an outer radius re and an unknown inner radius ri, as shown in the attached figure. This hollow sphere must be immersed in water and must have a thickness e such that it can be suspended in the liquid. Determine the thickness of the hollow sphere for this condition to be met. To facilitate calculations, consider that the interior of the sphere is in a vacuum. The data needed to solve the problem are: re = 0.5 m rhow = 1000 kg / m3 rhobronze = 8300 kg / m3arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY