EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 3, Problem 3.206EP
To determine
(a)
The missing properties and phase ofR-410A.
To determine
(b)
The missing properties of
To determine
(c)
The missing properties of
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If you have a spring mass damper system, given by m*x_double_dot + c*x_dot + kx = 0 where m, c, k (all positive scalars) are the mass, damper coefficient, and spring coefficient, respectively. x ∈ R represents the displacement of the mass.
Let us then discuss the stability of the system by using Lyapunov stability theorem. Consider the system energy as a candidate Lyapunov function shown in the image.
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Show the asymptotic stability of the system given in Eq. (1) by applying Theorem 2.
Homework#5
Chapter 3 Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Ch. 3 - What is 1cal in SI units and what is the name...Ch. 3 - A car engine is rated at 110kW . What is the power...Ch. 3 - Why do we write E or E2E1 , whereas we write 1Q2...Ch. 3 - If a process in a control mass increases energy...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - A thermopane window traps some gas between the two...Ch. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - The electric bill is calculating usage in kWh....Ch. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - You heat a gas 10K at P=C . Which one in Table A.5...Ch. 3 - You mix 20C water with 50C water in an open...Ch. 3 - A piston motion moves a 25kg hammerhead vertically...Ch. 3 - A pump pushes 1000m3 of liquid water at 15C up to...Ch. 3 - Prob. 3.26PCh. 3 - A 1200kg car accelerates from zero to 100km/h over...Ch. 3 - A hydraulic hoist raises a 1750kg car 1.8m in an...Ch. 3 - Prob. 3.29PCh. 3 - A hydraulic cylinder of area 0.01m2 must push a...Ch. 3 - A hydraulic cylinder has a piston cross-sectional...Ch. 3 - Prob. 3.32PCh. 3 - A bulldozer pushes 800kg of din l00m with a force...Ch. 3 - Two hydraulic cylinders maintain a pressure of...Ch. 3 - A motor delivers 50hp on a drive shaft at 1800rpm...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Heat transfer to a 1.5kg block of ice at -10C...Ch. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - A piston cylinder contains 2kg of water at 20C...Ch. 3 - A nitrogen gas goes through a polytropic process...Ch. 3 - Helium gas expands from 125kPa,350K and 0.25m3 to...Ch. 3 - Prob. 3.46PCh. 3 - A balloon behaves so that the pressure is P=C2V1/3...Ch. 3 - A 15cm thick concrete wall, k=1.28W/mK , has a...Ch. 3 - The brake shoe and steel drum of a car...Ch. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - A power plant condenser (heat exchanger) transfers...Ch. 3 - Prob. 3.53PCh. 3 - A steel Pot, with conductivity of 15W/m and a 50mm...Ch. 3 - Prob. 3.55PCh. 3 - A wall surface on a house is 30C with an...Ch. 3 - A radiant heat lamp is a rod, tong and in diameter...Ch. 3 - A radiant beating lamp has a surface temperature...Ch. 3 - Determine the phase of the following substances...Ch. 3 - Find the phase and the missing properties of P, T,...Ch. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Find the missing property of P, T, y, u, h, and x...Ch. 3 - Find the missing properties for carbon dioxide at...Ch. 3 - Find the missing property of P, T, y, u, h, and x...Ch. 3 - Saturated liquid water at 20C is compressed to a...Ch. 3 - Prob. 3.67PCh. 3 - Consider a steel bottle as a CV. It contains...Ch. 3 - A piston cylinder contains water with quality 75...Ch. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Saturated vapor R410A at 0C in a rigid tank is...Ch. 3 - A constant-pressure piston/cylinder assembly...Ch. 3 - A container is split in two equal volumes by a...Ch. 3 - Prob. 3.75PCh. 3 - A cylinder fined with a frictionless piston...Ch. 3 - A piston/cylinder contains 1.5kg of water at...Ch. 3 - Prob. 3.78PCh. 3 - Ammonia (0.5kg) in a piston cy1tnde at 200kPa,10C...Ch. 3 - Prob. 3.80PCh. 3 - A rigid 1kg steel tank holds 0.75kg ammonia at 70C...Ch. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - A rigid steel tank contains 0.5kgR410A at 0°C with...Ch. 3 - Redo the previous problem when you also consider...Ch. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Supetheated refrigerant R-134a at 20°C and 100 kPa...Ch. 3 - In a sink, 5 L of water at 70°C is combined with 1...Ch. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - A car with mass 1275 kg is driven at 60 km h when...Ch. 3 - A piston cylinder (0.5 kg steel altogether)...Ch. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Use the ideal gas air A.7 to evaluate the specific...Ch. 3 - Prob. 3.100PCh. 3 - Find the change in u for carbon dioxide between...Ch. 3 - Nitrogen at 300 K. 3 MPa is heated to 500 K Find...Ch. 3 - Prob. 3.103PCh. 3 - Prob. 3.104PCh. 3 - Find the change in enthalpy for carbon dioxide...Ch. 3 - Water at 20°C and 100 kPa is brought to l00 kPa...Ch. 3 - Prob. 3.107PCh. 3 - A rigid container has 2 kg of oxygen gas at l00...Ch. 3 - Prob. 3.109PCh. 3 - Prob. 3.110PCh. 3 - Prob. 3.111PCh. 3 - A cylinder with a piston restrained by a linear...Ch. 3 - A constant pressure container is filled with 1 kg...Ch. 3 - A spring-loaded piston cylinder contains 1.5kg of...Ch. 3 - Prob. 3.115PCh. 3 - Prob. 3.116PCh. 3 - Helium gas expands from 125 kPa, 350 K and 0.25m3...Ch. 3 - A piston cylinder device contains 0.1 kg of air at...Ch. 3 - A gasoline engine has a piston/cylinder with 0.1...Ch. 3 - Solve the previous problem using Table A.7.Ch. 3 - Prob. 3.121PCh. 3 - Prob. 3.122PCh. 3 - A piston/cylinder assembly has 1 kg of propane gas...Ch. 3 - A piston cylinder arrangement of initial volume...Ch. 3 - Prob. 3.125PCh. 3 - Prob. 3.126PCh. 3 - Air goes through a polytropic process with n=1.3...Ch. 3 - Saturated vapor R410A at 10°C of mass 0.6 kg is in...Ch. 3 - A helium gas heated at constant volume from 100...Ch. 3 - Prob. 3.130PCh. 3 - Prob. 3.131PCh. 3 - Prob. 3.132PCh. 3 - Prob. 3.133PCh. 3 - Prob. 3.134PCh. 3 - Prob. 3.135PCh. 3 - Prob. 3.136PCh. 3 - Prob. 3.137PCh. 3 - Prob. 3.138PCh. 3 - Prob. 3.139PCh. 3 - Prob. 3.140PCh. 3 - Prob. 3.141PCh. 3 - Prob. 3.142PCh. 3 - Prob. 3.143PCh. 3 - As fresh-poured concrete hardens, the chemical...Ch. 3 - A 1.2-kg pot of water at 20°C is put on a stove...Ch. 3 - A computer in a closed room of volume 200m3...Ch. 3 - A 500-W heater is used to melt 2 kg of solid ice...Ch. 3 - A 3-kg mass of nitrogen gas at 2000 K, V=C , cools...Ch. 3 - Prob. 3.149PCh. 3 - Electric power as volts times amperes (P=Vi) ....Ch. 3 - A copper wire of diameter 2 mm is 10m long and...Ch. 3 - Prob. 3.152PCh. 3 - A battery is well insulated while being charged by...Ch. 3 - Prob. 3.154PCh. 3 - Assume a balloon material with a constant surface...Ch. 3 - A soap bubble has a surface tension of =3104N/cm...Ch. 3 - According to Table 3.4 residential buildings in US...Ch. 3 - total energy use in the US from Table 3.4 for 2011...Ch. 3 - Prob. 3.159PCh. 3 - A wind turbine with 20m diameter rotors spins at...Ch. 3 - Prob. 3.161PCh. 3 - Prob. 3.162PCh. 3 - A house is being designed to use a thick concrete...Ch. 3 - A solar pond with 20°C salt water, Cp=3.8kJ/kg-K...Ch. 3 - Prob. 3.165PCh. 3 - Prob. 3.166PCh. 3 - Prob. 3.167PCh. 3 - Prob. 3.168PCh. 3 - Prob. 3.169PCh. 3 - Prob. 3.170PCh. 3 - Prob. 3.171PCh. 3 - Prob. 3.172PCh. 3 - A piston cylinder has 0.1 kg water at x=0.5 ,...Ch. 3 - Prob. 3.174PCh. 3 - A piston/cylinder arrangement has the piston...Ch. 3 - Prob. 3.176PCh. 3 - Prob. 3.177PCh. 3 - Prob. 3.178PCh. 3 - Prob. 3.179PCh. 3 - Prob. 3.180PCh. 3 - Prob. 3.181PCh. 3 - Prob. 3.182PCh. 3 - A spherical balloon contains 2 kg of R-410A at 0°C...Ch. 3 - Prob. 3.184PCh. 3 - Prob. 3.185EPCh. 3 - Work as Fx has units of lbf ft. What is that in...Ch. 3 - Work in the expression in Eq. 3.18 or Eq. 3.22...Ch. 3 - Prob. 3.188EPCh. 3 - Prob. 3.189EPCh. 3 - You heat a gas 20 R at P=C . Which gas in Table...Ch. 3 - A piston motion moves a 50-lbm hammerhead...Ch. 3 - A pump pushes 35000ft3 of liquid water at 60 F up...Ch. 3 - Prob. 3.193EPCh. 3 - Prob. 3.194EPCh. 3 - Prob. 3.195EPCh. 3 - Prob. 3.196EPCh. 3 - Prob. 3.197EPCh. 3 - A car with tires of outer radius 12 in. drives...Ch. 3 - Prob. 3.199EPCh. 3 - Prob. 3.200EPCh. 3 - A nitrogen gas goes through apolytropic process...Ch. 3 - Prob. 3.202EPCh. 3 - Find the rate of conduction heat transfer per unit...Ch. 3 - The sun shines on a 1500-ft2 road surface so that...Ch. 3 - Prob. 3.205EPCh. 3 - Prob. 3.206EPCh. 3 - Prob. 3.207EPCh. 3 - Saturated vapor R-410A at 60 F in a rigid tank is...Ch. 3 - A containeris split in two equal volumes by a...Ch. 3 - Saturated vapor R-410A at 200 psia in a...Ch. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - Prob. 3.212EPCh. 3 - Prob. 3.213EPCh. 3 - Prob. 3.214EPCh. 3 - Prob. 3.215EPCh. 3 - Prob. 3.216EPCh. 3 - Prob. 3.217EPCh. 3 - Prob. 3.218EPCh. 3 - Prob. 3.219EPCh. 3 - Prob. 3.220EPCh. 3 - Prob. 3.221EPCh. 3 - Prob. 3.222EPCh. 3 - A closed rigid container is filled with 3 lbm...Ch. 3 - Prob. 3.224EPCh. 3 - Prob. 3.225EPCh. 3 - Helium gas expands from 20 psia, 600 R, and 9ft3...Ch. 3 - Prob. 3.227EPCh. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - Prob. 3.229EPCh. 3 - Prob. 3.230EPCh. 3 - Prob. 3.231EPCh. 3 - Prob. 3.232EPCh. 3 - A force of 300 lbf moves a truck at a speed of 40...Ch. 3 - Prob. 3.234EPCh. 3 - Water is in a piston/cylinder maintaining constant...Ch. 3 - A mass of 6 lbm nitrogen gas at 3600 R, V=C ,...Ch. 3 - Prob. 3.237EPCh. 3 - Prob. 3.238EPCh. 3 - Ammonia is contained in a sealed, rigid tank at 30...Ch. 3 - Prob. 3.240EP
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