Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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Chapter 3, Problem 3.8CU
To determine
If the expression for work done in a polytropic process is restricted to ideal gases.
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A gas undergoes isobaric expansion at 0.05 bar from 0.1 m³ to 1.0 m³ when 2.0 KiloJoules of heat is applied to it. Which of the following is true regarding the work, heat and the change in internal energy involed in this change (all quantities in KiloJoules)?
A. +4.5, -2.0, +2.5
B. -4.5, +2.0, -2.5
C. +4.5, +2.0, +6.5
D. -4.5, -2.0, -6.5
Water with a quality of 50% is contained in a piston/cylinder arrangement at state 1.
It is heated at constant pressure until it is superheated vapor, at state 2.
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until state 3. Draw this two-step process on a P-v diagram and on a T-s diagram.
Carbon dioxide (molar mass 44 kg/kmol) expands reversibly in a perfectly thermally insulated cylinder from 3.7 bar, 220 0C to a volume of 0.085 m3. If the initial volume occupied was 0.02 m3, calculate the work input in kJ to 3 decimal places. Assume nitrogen to be a perfect gas and take cv = 0.63 k J / k g K.
Chapter 3 Solutions
Fundamentals Of Engineering Thermodynamics
Ch. 3 - Prob. 3.1ECh. 3 - Prob. 3.2ECh. 3 - Prob. 3.3ECh. 3 - Prob. 3.4ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - Prob. 3.9ECh. 3 - Prob. 3.10ECh. 3 - Prob. 3.11E
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- p62,#13 with illustration and explanationarrow_forwardAs shown in the figure below, a piston-cylinder assembly contains 10 g of air holding the piston against the stops, where the mass of the piston is 75 kg. The air, initially at 3 bar, 600 K, is slowly cooled until the piston just begins to move downward in the cylinder. The air behaves as an ideal gas, g = 9.81 m/s², and friction is negligible. Patm = 1 bar Piston Stops A=9.75 x 103 m² T₁=600 K P₁ 3 bar Determine the heat transfer, in kJ, between the air and its surroundings. No gpt,only Handwrittenarrow_forwardA piston-cylinder assembly contains 1kg of water, initially occupying a volume of 0.25mm^3 at3 bar. Energy transfer by heat to the water results in a process at constant pressure to a finalvolume of 0.6058m^3. You may assume that any kinetic and potential energy effects arenegligible.Question:(a) Sketch the process on a T-V diagram with all the features clearly labelled(b) Evaluate the work for the process(c) Evaluate the heat transferarrow_forward
- Carbon dioxide (CO₂) fills a closed, rigid tank fitted with a paddle wheel, initially at 80°F, 30 lb-/in², and a volume of 1.8 ft³. The gas is stirred until its temperature is 500°F. During this process heat transfer from the gas to its surroundings occurs in an amount 2.6 Btu. Assume ideal gas behavior, but do not assume constant specific heats. Kinetic and potential energy effects can be ignored. Determine the mass of the carbon dioxide, in lb, and the work, in Btu.arrow_forwardA gas with specific volume v₁ 1 m³/Kg and pressure p₁=6bar in a closed system undergoes a thermodynamic cycle which consists of the following three separate processes: 1->2: Isobaric compression to V₂=0.25 m³/Kg 2->3: Isometric heating. 3->1: Isothermal expansion (pV constant) to the initial volume. - Calculate the specific work produced by the gas per cycle. Present your answer in kJ/kg. =arrow_forwardA piston-cylinder assembly contains 0.5 lb of air initially at a pressure of 30 lb/in² and a temperature of 300°F. The air is heated at constant pressure until its volume is doubled. Assume the ideal gas model with constant specific heat ratio, k = 1.4. Determine the work and heat transfer, in Btu. Step 1 Determine the work, in Btu. W12= i Save for Later Btu Attempts: 0 of 4 used Submit Answer Step 2 The parts of this question must be completed in order. This part will be available when you complete the part above.arrow_forward
- A 2 kg of steam occupying 0.3 m at 15 bar is expanded according to the law pvl3 = constant to a pressure of %3D 1.5 bar. The work done during the expansion will bearrow_forwardp/atm 2.0 1.0 EXERCISE 3 (c) 3 1 thermal (b) Ⓡ One mole of an ideal gas undergoes a cyclic three-step process according to Figure 2: (a) 1->2: reversible and adiabatic expansion starting at T₁, and pressure = 2 atm. pl (b) 2->3: reversible isothermal compression up to p3 = 1 atm and (c) 3->1: heating under constant volume, at final temperature Ti, and pressure p1 = 2 atm. Calculate the entropy changes of the gas for the three steps and for the cycle. The heat capacity under constant volume is given: cx= 12.47 J mol-¹ K-¹. V Enter your results (with units) in the Table below AS₁1+2 AS2+3 AS3+1 AS1+2+3+1arrow_forwardAn ideal gas is taken through a cyclic thermodynamic process through four steps. The amounts of heat involved in these steps are Q1-2 = 5960J. Q2-3 = - 5.585 KJ. Q3-4 = - 2980J and Q+1= 3645 J respectively. The corresponding quantities of work involved areWi-2 = 2.2 KJ, W23= - 825 J, W34 = - 1100 J and W41 respectively. What is the value of W41? Select one: O a. 1000 J O b. 76.5J O c. 765J d. 7.65 KJarrow_forward
- Two pounds of gas, R= 26 ft-lb /lb-R and k=1.10, undergo a polytropic from 15 psia, 100 F to 75 psia, 3.72 ft0. Determine the value of “n”, ΔH, ΔS, Q and Work.arrow_forwardA piston cylinder assembly containing 1.3 kg n-Hexane gas at 146 kPa with an initial volume of 5.74 m3 undergoes a thermodynamics cycle containing three processes as follows: Process 1-2 Isobaric compression until its volume becomes half the original volume Process 2-3 Polytropic expansion that obeys PV^n= C where n=-1.9 until original volume Process 3-1 Constant volume cooling Assuming n-Hexane behaves as ideal gas, calculate the net work transfer of the cycle (in kJ).arrow_forwardI need the answer as soon as possiblearrow_forward
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