EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Textbook Question
Chapter 4, Problem 4.1P
A temperature difference drives a heat transfer Does a similar concept apply to
Expert Solution & Answer
To determine
The similar concept for mass transfer like the heat transfer derived by the temperature difference.
Answer to Problem 4.1P
Mass transfer is derived by pressure difference.
Explanation of Solution
The temperature difference between two regions can lead to transfer of heat from high temperature region to lower temperature region to maintain the equilibrium of temperature between two regions.
The similar concept can be applied to the mass transfer, for instance if we consider a pipe having water flow inside it, the flow of water starts from high pressure region and flow to the lower pressure region.
The flow inside the pipe is due to the pressure difference. As water is incompressible fluid thus its density will remain same throughout the flow. Hence, the mass transfer is derived by Pressure difference.
Conclusion:
Thus, mass transfer is derived by pressure difference.
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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)
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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 4 Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Ch. 4 - A temperature difference drives a heat transfer...Ch. 4 - What is the effect can be felt upstream in a flow?Ch. 4 - Prob. 4.3PCh. 4 - Air at 500 kPa is expanded to l00 kPa in two...Ch. 4 - A windmill takes out a fraction of the wind...Ch. 4 - An underwater turbine extracts a fraction of the...Ch. 4 - A liquid water turbine at the bottom of a dam...Ch. 4 - You blow a balloon up with air. What kinds of work...Ch. 4 - Storage tanks of cryogenic liquids (O2,N2,CH4) are...Ch. 4 - A large brewery has a pipe of cross-sectional area...
Ch. 4 - A pool is to be filled with 60m3 water from a...Ch. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - A boiler receives a constant flow of 5000kg/h...Ch. 4 - Prob. 4.15PCh. 4 - Liquid water at 15°C flows out of nozzle straight...Ch. 4 - A nozzle receives an ideal gas flow with a...Ch. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - The wind is blowing horizontally at 30m/s in a...Ch. 4 - Prob. 4.21PCh. 4 - A meteorite hits the upper atmosphere at 3000m/s ,...Ch. 4 - Carbon dioxide is throttled from 20C,2000kPa to...Ch. 4 - Saturated liquid R-410A at 25°C is throttled to...Ch. 4 - Carbon dioxide used as a natural refrigerant flows...Ch. 4 - Liquid water at 180C,2000kPa is throttled into a...Ch. 4 - Methane at 1MPa,250K is throttled through a valve...Ch. 4 - Prob. 4.28PCh. 4 - A steam turbine has an n1et of 3kg/s water at 1200...Ch. 4 - Air at 20m/s,1500K,875kPa with 5kg/s flows into a...Ch. 4 - Solve the previous problem using Table A.7.Ch. 4 - A wind turbine can extract at most a fraction...Ch. 4 - Prob. 4.33PCh. 4 - A liquid water turbine receives 2kg/s water at...Ch. 4 - A small high-speed turbine operating on compressed...Ch. 4 - Prob. 4.36PCh. 4 - What is the specific work one can get from Hoover...Ch. 4 - Prob. 4.38PCh. 4 - R-410A in a commercial refrigerator flows into the...Ch. 4 - A compressor brings nitrogen from 100kPa,290K to...Ch. 4 - A refrigerator uses the natural refrigerant carbon...Ch. 4 - Prob. 4.42PCh. 4 - A compressor brings R-134a from...Ch. 4 - Prob. 4.44PCh. 4 - An exhaust fan in a building should be able to...Ch. 4 - Prob. 4.46PCh. 4 - The air conditioner in a house or a car has a...Ch. 4 - A boiler section boils 3kg/s saturated liquid...Ch. 4 - A superheater takes 3kg/s saturated water vapor in...Ch. 4 - Prob. 4.50PCh. 4 - Carbon dioxide enters a steady-state, steady-flow...Ch. 4 - Prob. 4.52PCh. 4 - A chiller cools liquid water for air-conditioning...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Liquid nitrogen at 90K,400kPa flows into a probe...Ch. 4 - Liquid glycol flows around an engine, cooling it...Ch. 4 - An irrigation pump takes water from a river at...Ch. 4 - A pipe from one building to another flows water at...Ch. 4 - A river flowing at 0.5m/s across a 1-m-high and...Ch. 4 - Prob. 4.62PCh. 4 - A cutting tool uses a nozzle that generates a...Ch. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Steam at 500kPa,300C is used to heat cold water at...Ch. 4 - A dual-fluid heat exchanger has 5kg/s water...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - In a co-flowing (same-direction) heat exchanger,...Ch. 4 - An a water counter flowing heat exchanger has one...Ch. 4 - An automotive radiator has glycol at 95°C enter...Ch. 4 - Prob. 4.79PCh. 4 - Prob. 4.80PCh. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Prob. 4.83PCh. 4 - A de-superheater has a flow of ammonia of 1.5kg/s...Ch. 4 - Prob. 4.85PCh. 4 - A geothermal supply of hot water at 500kPa,150C is...Ch. 4 - Prob. 4.87PCh. 4 - Prob. 4.88PCh. 4 - A flow of 5kg/s water at l00kPa,20C should be...Ch. 4 - A two-stage compressor takes nitrogen ri at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.92PCh. 4 - A modern jet engine has a temperature after...Ch. 4 - Prob. 4.94PCh. 4 - Prob. 4.95PCh. 4 - Prob. 4.96PCh. 4 - An initially empty canister of volume 0.2m3 is...Ch. 4 - Repeat the previous problem but use the line...Ch. 4 - A tank contains 1m3 air at 100kPa,300K . A pipe...Ch. 4 - Prob. 4.100PCh. 4 - A 2.5L tank initially is empty, and we want to...Ch. 4 - An insulated 2m3 tank is to be charged with R-134a...Ch. 4 - Repeat the previous problem if the valve is closed...Ch. 4 - A 3m3 ? cryogenic storage tank contains nitrogen...Ch. 4 - Prob. 4.105PCh. 4 - Prob. 4.106PCh. 4 - Prob. 4.107PCh. 4 - A 1-L can of R-410A is at room temperature, 20°C,...Ch. 4 - Steam at 3MPa,400C enters a turbine with a...Ch. 4 - Prob. 4.110PCh. 4 - Assume a setup similar to that of the previous...Ch. 4 - Prob. 4.112PCh. 4 - Three a flows, all at 200 kPa, e connected to the...Ch. 4 - A 1m3,40kg rigid steel tank contains air at 500...Ch. 4 - Prob. 4.115PCh. 4 - Prob. 4.116PCh. 4 - Prob. 4.117PCh. 4 - Prob. 4.118PCh. 4 - Prob. 4.119PCh. 4 - A flow of 2kg/s of water at 500kPa,20C is heated...Ch. 4 - Refrigerant R-410A at l00psia,60F flows at...Ch. 4 - A pool is to be filled with 2500ft3 water from a...Ch. 4 - Prob. 4.123EPCh. 4 - Liquid water at 60 F flows out of a nozzle...Ch. 4 - Prob. 4.125EPCh. 4 - Prob. 4.126EPCh. 4 - Prob. 4.127EPCh. 4 - Nitrogen gas flows into a convergent nozzle at...Ch. 4 - A meteorite hits the upper atmosphere at 10000ft/s...Ch. 4 - Refrigerant R-410A flows out of a cooler at...Ch. 4 - Prob. 4.131EPCh. 4 - Saturated vapor R-410A at 75 psia is throttled to...Ch. 4 - A wind turbine can exact at most a fraction 16/27...Ch. 4 - A liquid water turbine receives 4Ibm/s water at...Ch. 4 - Prob. 4.135EPCh. 4 - What is the specific work one can get from Hoover...Ch. 4 - A small-speed turbine operating on compressed air...Ch. 4 - R.410A in a commercial refigerator flows into the...Ch. 4 - Prob. 4.139EPCh. 4 - An exhaust fan in a building should be able to...Ch. 4 - Carbon dioxide gas enters a steady-state,...Ch. 4 - Prob. 4.142EPCh. 4 - Prob. 4.143EPCh. 4 - Liquid glycol flows around an engine, cooling t as...Ch. 4 - Prob. 4.145EPCh. 4 - Prob. 4.146EPCh. 4 - Prob. 4.147EPCh. 4 - Do the previous problem if the water is just...Ch. 4 - A dual-fluid heat exchanger has l0Ibm/s water...Ch. 4 - Steam at 80psia,600F is used to heat cold water at...Ch. 4 - Prob. 4.151EPCh. 4 - Two flows of air are both at 30 psia one has...Ch. 4 - A de-superheater has a flow of ammonia of 3Ibm/s...Ch. 4 - Prob. 4.154EPCh. 4 - A two-stage compressor takes nitrogen n at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.157EPCh. 4 - Prob. 4.158EPCh. 4 - A tank contains l0ft3 of air at 15psia,540R . A...Ch. 4 - Prob. 4.160EPCh. 4 - Prob. 4.161EPCh. 4 - Prob. 4.162EPCh. 4 - Prob. 4.163EPCh. 4 - Prob. 4.164EP
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