Fundamentals Of Thermodynamics
10th Edition
ISBN: 9781119494966
Author: Borgnakke, C. (claus), Sonntag, Richard Edwin, Author.
Publisher: Wiley,
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Chapter 4, Problem 4.11P
A pool is to be filled with
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A distillation column with a total condenser and a partial reboiler is separating ethanol andwater at 1.0 atm. Feed is 0.32 mol fraction ethanol and it enters as a saturated liquid at 100mol/s on the optimum plate. The distillate product is a saturated liquid with 80 mol% ethanol.The condenser removes 5615 kW. The bottoms product is 0.05 mol fraction ethanol. AssumeCMO is valid.(a) Find the number of equilibrium stages for this separation. [6 + PR](b) Find how much larger the actual reflux ratio, R, used is than Rmin, i.e. R/Rmin. [3]Note: the heats of vaporization of ethanol and water are λe = 38.58 and λw = 40.645
We have a feed that is a binary mixture of methanol and water (60.0 mol% methanol) that issent to a system of two flash drums hooked together. The vapor from the first drum is cooled,which partially condenses the vapor, and then is fed to the second flash drum. Both drumsoperate at 1.0 atm and are adiabatic. The feed to the first drum is 1000 kmol/hr. We desire aliquid product from the first drum that is 35.0 mol% methanol. The second drum operates at afraction vaporized of (V/F)2 = 0.25.(a) Find the liquid flow rate leaving the first flash drum, L1 (kmol/hr). [286 kmol/hr](b) Find the vapor composition leaving the second flash drum, y2. [0.85]
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The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. The
radius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of
207,000 MPa and G = 79.3(103) MPa, repectively.
elasticity and shear modulus E =
Find the vertical deflection at point B. Use Castigliano's method for a curved flexural member and since R/h > 10,
neglect the effect of shear and axial load, thereby assuming that deflection is due to merely the bending moment.
Note the inner and outer radii of the curves bar are:
r = 80 + ½ (6) = 83 mm, r₁ = 80 − ½ (6) = 77 mm
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Sπ/2 sin² 0 d = √π/² cos² 0 d0 =
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Chapter 4 Solutions
Fundamentals Of Thermodynamics
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 - Natural gas, CH4 , flowing in a 5cm -diameter pipe...Ch. 4 - A boiler receives a constant flow of 5000kg/h...Ch. 4 - A 0.6m -diameter household fan takes air in at...Ch. 4 - Liquid water at 15°C flows out of nozzle straight...Ch. 4 - A nozzle receives an ideal gas flow with a...Ch. 4 - In a jet engine a flow afar at 1000K,200kPa, and...Ch. 4 - The wind is blowing horizontally at 30m/s in a...Ch. 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 - 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 - A liquid water turbine receives 2kg/s water at...Ch. 4 - A small high-speed turbine operating on compressed...Ch. 4 - Hoover Dam across the Colorado River dams up Lake...Ch. 4 - What is the specific work one can get from Hoover...Ch. 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 - A factory generates compressed air from l00kPa,17C...Ch. 4 - A compressor brings R-134a from...Ch. 4 - An exhaust fan in a building should be able to...Ch. 4 - Prob. 4.39PCh. 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 - Carbon dioxide enters a steady-state, steady-flow...Ch. 4 - Find the heat transfer in Problem 4.13.Ch. 4 - A chiller cools liquid water for air-conditioning...Ch. 4 - Saturated liquid nitrogen at 600 kPa enters a...Ch. 4 - Prob. 4.47PCh. 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 - A cutting tool uses a nozzle that generates a...Ch. 4 - An adiabatic steam turbine in a power plant...Ch. 4 - Prob. 4.55PCh. 4 - A steam turbine receives steam from two boilers...Ch. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - A condenser (heat exchanger) brings 1kg/s water...Ch. 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 - An energy recovery heat exchanger, shown in Fig....Ch. 4 - Do the previous problem if the water is heated to...Ch. 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. 4.67PCh. 4 - Two air flows are combined to a single flow. One...Ch. 4 - An open feedwater heater in a power plant heats...Ch. 4 - A de-superheater has a flow of ammonia of 1.5kg/s...Ch. 4 - A mixing chamber with heat transfer receives 2kg/s...Ch. 4 - A geothermal supply of hot water at 500kPa,150C is...Ch. 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. 4.76PCh. 4 - A modern jet engine has a temperature after...Ch. 4 - A proposal is made to use a geothermal supply of...Ch. 4 - Prob. 4.79PCh. 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 - 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 - A nitrogen line at 300K,0.5MPa , shown in Fig....Ch. 4 - Prob. 4.88PCh. 4 - A 200L tank (see Fig. P4.89) initially contains...Ch. 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 - In a glass factory a 2m -wide sheet of glass at...Ch. 4 - Assume a setup similar to that of the previous...Ch. 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 - An insulated spring-loaded piston/cylinder device,...Ch. 4 - A piston/cyl. setup like Fig. 4.96 is such that at...Ch. 4 - A mass-loaded piston/cylinder shown in Fig. P4.98,...Ch. 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 - Liquid water at 60 F flows out of a nozzle...Ch. 4 - Prob. 4.103EPCh. 4 - Prob. 4.104EPCh. 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 - 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. 4.111EPCh. 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 - An exhaust fan in a building should be able to...Ch. 4 - Carbon dioxide gas enters a steady-state,...Ch. 4 - Prob. 4.117EPCh. 4 - Liquid glycol flows around an engine, cooling t as...Ch. 4 - Prob. 4.119EPCh. 4 - Prob. 4.120EPCh. 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. 4.124EPCh. 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 - A two-stage compressor takes nitrogen n at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.129EPCh. 4 - Prob. 4.130EPCh. 4 - A tank contains l0ft3 of air at 15psia,540R . A...Ch. 4 - Prob. 4.132EPCh. 4 - In a glass factory a 6 ft-wide sheet of glass at...Ch. 4 - A mass-loaded piston/cylinder containing air is at...
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