A metal piston is placed in the top of a cylinder containing a gas and a liquid, as shown in the figure below, compressing the gas. Assume that the interface between the piston-cylinder is frictionless and forms a perfect seal so that none of the gas can escape. (a) Derive the equation for the absolute pressure of the gas. Identify each variable and use the subscripts P, G, and L to variables specific the cylinder, gas or liquid. State any and all assumptions. (b) Calculate the absolute pressure of the gas (in kPa) for the case where the disc is made of copper, the gas is air, the liquid is water, the diameter of the cylinder is 10cm and the height of the piston is 3cm. Values for needed constants can be found in Chapter 1 of your text, along with Tables A-1 and A-3. piston

A metal piston is placed in the top of a cylinder containing a gas and a liquid, as shown in the figure below, compressing the gas. Assume that the interface between the piston-cylinder is frictionless and forms a perfect seal so that none of the gas can escape. (a) Derive the equation for the absolute pressure of the gas. Identify each variable and use the subscripts P, G, and L to variables specific the cylinder, gas or liquid. State any and all assumptions. (b) Calculate the absolute pressure of the gas (in kPa) for the case where the disc is made of copper, the gas is air, the liquid is water, the diameter of the cylinder is 10cm and the height of the piston is 3cm. Values for needed constants can be found in Chapter 1 of your text, along with Tables A-1 and A-3. piston

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: 6. You are a researcher at a company that makes pressure cookers, and you are in charge of designing…

A: Given Gauge pressure = 100kpa = 100 × 103 Pa Cross-sectional area = 5 mm2 = 5 × 10–6 m2 Mexico city…

Q: The figure below shows a liquid-level system in which two tanks have cross-sectional areas, A₁ and…

A: To Find:A. The differential equation model for the system behavior in terms of the liquid heights…

Q: 951 mol of N2 gas is in a constant volume 235.6 L turbine at 25 °C. If 11.36 MJ of heat energy is…

A: Given: No. of moles of N2, n = 951 mol heat added , ΔH = 11.36 MJ T1 = 25 °C T2 = 600 °C To find:…

Q: 4. A pocket dosimeter (Air wall chamber) of volume 9.02 cm³is filled with air at atmospheric…

A: Given:- The given charge is calculated by: Q = CV…

Q: In addition to filling in the blanks below, show all of your work for this problem on paper for…

A: In general, fluids can exist in three different phases as liquid, gas and solid. During the phase…

Q: Engineering students are often asked to design a "concrete boat" as part of a design project to…

Q: The object shown below is stable and floating in the water. (1) Please match center of gravity cg,…

A: Centre of gravity = Point B

Q: 1. A rope holds up a rectangular, hinged gate, as shown in the figure. Derive expressions for the…

A: For solution refer below images

Q: Mississippi Jane is at it again! The big bad evil one has trapped her on an accelerating conveyor…

A: The mass of the pipe is .The mean radius of the pipe is .The acceleration of the conveyor belt is…

Q: rive an expression for the centre of pressure for a plane immersed in water and inclined by an angle…

A: To drive an expression for the centre of pressure for a plane immersed in water and inclined by an…

Q: A tank is divided in two compartments as shown in Figure A1-1. The left compartment contains a fluid…

A: Given:Density of sea water, ρsw=1035 kg/m3Depth of water on right side, Hw=100 cm=1 mDepth of…

Q: The object shown below is stable and floating in the water. (1) Please match center of gravity cg,…

A: CENTRE OF GRAVITY = POINT B

Q: A nitrogen cylinder has a volume of 1 cu ft and a pressure of 100 psig @ 25 degrees C. What is the…

Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

A metal piston is placed in the top of a cylinder containing a gas and a liquid, as shown in the
figure below, compressing the gas. Assume that the interface between the piston-cylinder is
frictionless and forms a perfect seal so that none of the gas can escape.
(a) Derive the equation for the absolute pressure of the gas. Identify each variable and use
the subscripts P, G, and L to variables specific the cylinder, gas or liquid. State any and
all assumptions.
(b) Calculate the absolute pressure of the gas (in kPa) for the case where the disc is made of
copper, the gas is air, the liquid is water, the diameter of the cylinder is 10cm and the
height of the piston is 3cm. Values for needed constants can be found in Chapter 1 of
your text, along with Tables A-1 and A-3.
piston
gas
liquid
piston
gas
liquid

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

EGMN 301 - Fluid Mechanics
Parts A-C and Label them Question : Water flows downward in a pipe at 45°, as shown in figure below. The pressure drop p1 − p2 is partly due to gravity and partly due to friction. The mercury manometer reads a 6-in height difference. Part [A] - What is the total pressure drop p1 − p2 in lbf/in2? Part [B] - What is the pressure drop due to friction only between 1 and 2 in lbf/in2? Part [C] - What is the pressure drop due to gravity only between 1 and 2 in lbf/in2?
Problem 8.01**. An underwater microphone has a volume of 0.0140 cubic meters. Its mass is 8.50 kg. It is tethered to the ocean floor by a thin cable. The specific gravity of the ocean water at that location is 1.03. Calculate the magnitude of the tension in the cable. [1330 N (-3)]
Need help with the following problem involving calorimetry!
A child takes a helium balloon on a plane from Denver (with an air pressure of 0.83 atm) on a cool day when the temperature is 20.0oC to Boston (at sea level, with an air pressure of 1.0 atm) where the temperature is 5.0oC. Assume that no gas escapes from the balloon during the flight. What is the volume of the balloon in Boston, relative to its size in Denver? Group of answer choices The volume in Boston is 0.79 times the volume in Denver. The volume in Boston is 0.20 times the volume in Denver. The volume in Boston is 0.87 times the volume in Denver The volume in Boston is 1.3 times the volume in Denver. The volume in Boston is the same as the volume in Denver.
2. Water at standard atmospheric pressure and temperature fills a sealed, rigid container. If the temperature of the water is increased by 50°C, what is the pressure? Assume that the coefficients of compressibility and thermal expansion are constant and take on the values given in the notes/text
Q1(b) A multi fluid manometer is shown in Figure Q1(b). Determine the following: (i) Determine height 'h' if the difference in pressure between the two pipes is 15.38 kPa; [6] (ii) Difference in pressure between the two pipelines if both pipes are in the same level. [6] Take density of air = 1kg/m3 and density of water = 1000kg/m3. Oil SG = 0.79 Gasoline SG =0.70 PIPE Air 45 cm hcm Pipe 22 cm 10 cm `Mercury SG= 13.6 Water Figure Q1(b)