To determine The plot for the final pressure and the boundary work against spring constant. Explanation Given: Mass of water, m = 50 kg . Initial pressure, P 1 = 250 kPa . Initial temperature, T 1 = 25 ° C . Cross sectional area of the piston, A = 0.1 m 2 . Volume at after initial expansion (state 2) is ν 2 = 0.2 m 3 . Spring constant ( k ) varies from 50 kN/m to 500 kN/m . Piston displacement, x = 20 cm . Calculation: From the Table A-4, “Saturated water-Temperature table”, obtain the value of initial specific volume at 25 ° C temperature. v 1 = v f @ 25 ° C = 0.001003 m 3 / kg The initial volume of water is, ν 1 = m v 1 ν 1 = ( 50 kg ) × ( 0.001003 m 3 / kg ) = 0.05 m 3 The total volume of the piston cylinder device is, ν 3 = ν 2 + x A ν 3 = ( 0.2 m 3 ) + [ ( 20 cm ) ( 0.1 m 3 ) ] = ( 0.2 m 3 ) + [ ( 20 cm × 1 m 100 cm ) ( 0.1 m 3 ) ] = 0.22 m 3 Here, the pressures P 1 and P 2 are equal. P 1 = P 2 = 250 kPa When, the spring constant is 100 kN/m . k = 100 kN/m The final pressure of the piston-cylinder device is given by, P 3 = P 2 + F s A = P 2 + k x A P 3 = ( 250 kPa ) + ( 100 kN / m ) × ( 0.2 m ) ( 0

5th Edition

ISBN: 9780078027680

Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

Videos

Question

Chapter 5, Problem 24P

To determine

The plot for the final pressure and the boundary work against spring constant.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 23P

Chapter 5, Problem 25P

Students have asked these similar questions

100 As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement: • Analytically (hand calculations) Creating Simulink Model Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph for the first 15 sec. The graph must be fully formatted by code.

Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and k₂ = 2 N/m. (y₁ = 0) www k₁ = 3 Jm₁ = 1 k2=2 www (Net change in spring length =32-31) (y₂ = 0) m₂ = 1 32 32 System in static equilibrium System in motion Figure Q3 - Coupled mass-spring system Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively: Analytically (hand calculations) Using MATLAB Numerical Functions (ode45) Creating Simulink Model Produce an animation of the system for all solutions for the first minute.

Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If, initially, tank A contains pure water and tank B contains 20 kg of salt. A 6 L/min 0.2 kg/L x(t) 100 L 4 L/min x(0) = 0 kg 3 L/min 1 L/min B y(t) 100 L y(0) = 20 kg 2 L/min Figure Q1 - Mixing problem for interconnected tanks Determine the mass of salt in each tank at time t≥ 0: Analytically (hand calculations) Using MATLAB Numerical Functions (ode45) Creating Simulink Model Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.

Chapter 5 Solutions

Fundamentals of Thermal-Fluid Sciences

Ch. 5 - Prob. 1P Ch. 5 - Nitrogen at an initial state of 300 K, 150 kPa,...Ch. 5 - Prob. 3P Ch. 5 - Prob. 4P Ch. 5 - A piston–cylinder device with a set of stops...Ch. 5 - A piston–cylinder device initially contains 0.07...Ch. 5 - A mass of 5 kg of saturated water vapor at 300 kPa...Ch. 5 - Prob. 8P Ch. 5 - Prob. 9P Ch. 5 - A mass of 1.5 kg of air at 120 kPa and 24°C is...

Ch. 5 - Prob. 11P Ch. 5 - Prob. 13P Ch. 5 - Prob. 14P Ch. 5 - During an expansion process, the pressure of a gas...Ch. 5 - Prob. 17P Ch. 5 - Prob. 18P Ch. 5 - Prob. 19P Ch. 5 - Prob. 20P Ch. 5 - 0.75-kg water that is initially at 0.5 MPa and 30...Ch. 5 - Prob. 22P Ch. 5 - A piston–cylinder device contains 50 kg of water...Ch. 5 - Reconsider Prob. 5–23. Using an appropriate...Ch. 5 - Prob. 25P Ch. 5 - A closed system undergoes a process in which there...Ch. 5 - Prob. 27P Ch. 5 - Prob. 28P Ch. 5 - Prob. 29P Ch. 5 - Prob. 30P Ch. 5 - A fixed mass of saturated water vapor at 400 kPa...Ch. 5 - Prob. 32P Ch. 5 - Prob. 33P Ch. 5 - Prob. 34P Ch. 5 - Prob. 36P Ch. 5 - A 40-L electrical radiator containing heating oil...Ch. 5 - Prob. 38P Ch. 5 - Saturated R-134a vapor at 100°F is condensed at...Ch. 5 - Prob. 40P Ch. 5 - Prob. 41P Ch. 5 - Prob. 42P Ch. 5 - Prob. 43P Ch. 5 - Prob. 44P Ch. 5 - Prob. 45P Ch. 5 - Prob. 46P Ch. 5 - Prob. 47P Ch. 5 - Prob. 48P Ch. 5 - Prob. 49P Ch. 5 - Prob. 50P Ch. 5 - Prob. 51P Ch. 5 - Prob. 52P Ch. 5 - Prob. 53P Ch. 5 - Prob. 54P Ch. 5 - Is it possible to compress an ideal gas...Ch. 5 - Prob. 56P Ch. 5 - Prob. 57P Ch. 5 - A rigid tank contains 10 lbm of air at 30 psia and...Ch. 5 - Prob. 59P Ch. 5 - Prob. 60P Ch. 5 - Prob. 61P Ch. 5 - Prob. 62P Ch. 5 - Prob. 63P Ch. 5 - Prob. 64P Ch. 5 - Prob. 65P Ch. 5 - Prob. 66P Ch. 5 - Prob. 67P Ch. 5 - Air is contained in a variable-load...Ch. 5 - A mass of 15 kg of air in a piston–cylinder device...Ch. 5 - Prob. 70P Ch. 5 - Prob. 72P Ch. 5 - Prob. 73P Ch. 5 - Air is contained in a cylinder device fitted with...Ch. 5 - Air is contained in a piston–cylinder device at...Ch. 5 - Prob. 76P Ch. 5 - Prob. 77P Ch. 5 - Prob. 78P Ch. 5 - Prob. 79P Ch. 5 - Prob. 80P Ch. 5 - Prob. 81P Ch. 5 - Prob. 82P Ch. 5 - Prob. 83P Ch. 5 - Prob. 85P Ch. 5 - Prob. 86P Ch. 5 - Repeat Prob. 5–86 for aluminum balls. 5-86. In a...Ch. 5 - Prob. 88RQ Ch. 5 - Prob. 89RQ Ch. 5 - Air in the amount of 2 lbm is contained in a...Ch. 5 - Air is expanded in a polytropic process with n =...Ch. 5 - Nitrogen at 100 kPa and 25°C in a rigid vessel is...Ch. 5 - A well-insulated rigid vessel contains 3 kg of...Ch. 5 - In order to cool 1 ton of water at 20°C in an...Ch. 5 - Prob. 95RQ Ch. 5 - Prob. 96RQ Ch. 5 - Saturated water vapor at 200°C is condensed to a...Ch. 5 - A piston–cylinder device contains 0.8 kg of an...Ch. 5 - A piston–cylinder device contains helium gas...Ch. 5 - Prob. 100RQ Ch. 5 - Prob. 101RQ Ch. 5 - Prob. 102RQ Ch. 5 - Prob. 103RQ Ch. 5 - Prob. 104RQ Ch. 5 - Prob. 105RQ Ch. 5 - Prob. 106RQ Ch. 5 - A 68-kg man whose average body temperature is 39°C...Ch. 5 - An insulated rigid tank initially contains 1.4-kg...Ch. 5 - Prob. 109RQ Ch. 5 - Prob. 111RQ Ch. 5 - Prob. 112RQ Ch. 5 - Prob. 114RQ Ch. 5 - Prob. 115RQ Ch. 5 - An insulated piston–cylinder device initially...Ch. 5 - Prob. 118RQ Ch. 5 - Prob. 119RQ Ch. 5 - Prob. 120RQ

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.