use tableTableDerive expressions for the heat absorbed by the system for each of the following classes of reversibleprocesses for one mole of an idea gas:(a) Case 1: Isothermal change in pressure(b) Case 2: Isobaric change in volumeHint: Case 1 with S = S(T,P); Case 2 with S = S(P,V)(c) Case 3: Isochoric (constant volume) change in temperaturedV=Va dT-VB APdS=CT dT-Va dPdU= (Cp-PVα) dT + V(PB - Ta) dPdH=Cp dT +V(I-Ta) dPdF=-(S+PVa) dT + VPB dPdG=-S dT + V dP

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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One mole of an ideal gas is heated slowly so that it goes from the PV state (P, V;) to (2P;, 2V;) in such a way that the pressure is directly proportional to the volume. (a) How much work is done on the gas in the process? (Use any variable or symbol stated above along with the following as necessary: n and R.) W = (b) How is the temperature of the gas related to its volume during this process? (Do not substitute numerical values; use variables only. Use the following as necessary: n, R, V, Vi, and P.) T = Need Help? Read It
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Carbon Dioxide is contained in a piston-cylinder assembly and undergoes a cycle made of the fol- lowing processes: • Process 1-2: Constant volume from 1 bar, 300 K to 600 K • Process 2–3: Polytropic expansion with n=k until P3 = P1 • Process 3-1: Isobaric compression (a) Sketch the cycle on p-v and T-v coordinates (b) Determine the work and heat transfer in each process, in kJ/kg (c) Determine the type of cycle that this is. If it is a power cycle, compute the thermal efficiency. Otherwise, compute the coefficient of performance for a heat pump cycle.
Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
Q. - one kg of um ideal gas (R = 287 K irreversible process from Stelte - 0 [1 bar, 300 k] to State - [2 bar, 300k] The entropy change (S2-S1) J kgk
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for steam, the specific ideal gas constant = 461.5 J/kg K A closed system is comprised of pure water substance initially at a temperature of 500 oC and a pressure of 20 MPa (state 1). The system undergoes an isochoric process whereby its pressure drops to 0.1 Mpa (state 2). For state 1 evaluate the specific volume assuming the steam behaves as an ideal gas and comment on your result.
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A phase change, or transition, occurs when a substance undergoes a change in state on a molecular level. In most substances, changes in temperature or pressure result in a substance phase change. There are several processes of phase changes, including fusion, solidification, vaporization, condensation, sublimation and physical vapor deposition. A vapour compression cycle is used in most household refrigerators, refrigerator-freezers and freezers. The performance of the refrigerators heavily depends on the phase change properties of the refrigerant used. Thus, it is of primary importance to any industrial designer to have a good understanding of the phase change behaviour of substances which will allow them for design modifications and optimisations. In our problem, a cylinder is initially filled with saturated liquid-vapour mixture of R-134a (a common refrigerant) at a specified pressure, 250 kPa and vapour quality of 0.25. A constant heat input, Q, is transferred to the cylinder until…
V. W. Th To %3D Room temperature T = 293 K V V. Vp The gas volume changes from Vp to Va at constant temperature T. The cartoon on the right shows a piston of gas undergoing this compression while submerged in a container of room temperature water, which acts as a reservoir. The initial state of this process is a piston containing 2 moles of a monatomic gas at Tc = 293 K (room temperature water) and volume V = a 1.0 m. The gas is compressed until V, = 0.2 m. During the compression, the heat bath of room temperature water maintains the temperature of the gas at T 293 K. Calculate the work done in joules by the gas during this process. Do not include units in your answer. Be careful to use the standard sign convention for work done by the gas. Write your numerical answer in normal form as described above in the instructions to this worksheet.
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 gas constant to 3 decimal places. Assume nitrogen to be a perfect gas and take cv = 0.63 k J / k g K.

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