As shown in the figure below, 0.1 kg of water is contained within a piston-cylinder assembly at 100°C (Sate 1). The piston has a mass of 101.94 kg and isfree to move smoothly in the cylinder. Atmospheric pressure, 100 kPa, isacting on the top of the piston. Heat is added in a process until thetemperature is 500°C (State 2). Answer the following: (b)Determine quantitatively if this process is irreversible, reversible, orimpossible assuming the heat is transferred from a reservoir at 600°C. Nocredit will be given for this part unless you prove your answer withcalculations.g = 9.81 m/s?Patm = 100 kPaPistonWaterA = 0.01 m20.1 kg at 100°C

The mass of the water is mw=0.1 kg. The initial temperature is Ti=100°C. The final temperature is Tf=500°C. The mass of the piston is mp=101.94 kg. The atmospheric pressure is P=100 kPa. The area of the cylinder is 0.01 m2. Standard Values The gas constant for the water is R=0.461 kJ/kg·K.The properties of water at T=100°C. The specific enthalpy of the water is h1=419.24 kJ/kg. The specific volume of the water is v1=0.0014341 m3/kg. Similarly, the properties of water at T=500°C. The specific enthalpy of the water is h2=3487.7 kJ/kg. The specific volume of the water is v2=1.7814 m3/kg. The saturation temperature is Tsat=120.21°C. The saturated vapor volume is Vsat=0.8856 m3/kgThe heat transfer can be calculated as, W=m×h2-h1W=0.1 kg×3487.7 kJ/kg-419.24 kJ/kgW=306.846 kJ The expression for the change in entropy is given as, ∆s=∆sreservior+∆ssensible heat+∆slatent heat+∆svapor∆s=-QTreservior+mcplnTsatT1+latent heatTsat+mlnT2Tsat+mRlnV2Vsat Substitute the values, ∆s=-306.846 kJ600°C+273 K+0.1 kg×4.18 J/kg°C×ln120.21°C+273 K100°C+273 K+0.1 kg×2205.5 kJ/kg120.21°C+273 K+0.1 kg×ln500°C+273 K120.21°C+273+0.1 kg×0.461 kJ/kg·K×ln1.7814 m3/kg0.8856 m3/kg∆s=-0.3514 kJ/kg+0.7499 kJ/kg∆s=+0.3985 kJ/kg As the change in the entropy is positive, the process is irreversible. Thus, the process is irreversible.

Engineering

Mechanical Engineering

As shown in the figure below, 0.1 kg of water is contained within a piston- cylinder assembly at 100°C (Sate 1). The piston has a mass of 101.94 kg and is free to move smoothly in the cylinder. Atmospheric pressure, 100O kPa, is acting on the top of the piston. Heat is added in a process until the temperature is 500°C (State 2). Answer the following:

As shown in the figure below, 0.1 kg of water is contained within a piston- cylinder assembly at 100°C (Sate 1). The piston has a mass of 101.94 kg and is free to move smoothly in the cylinder. Atmospheric pressure, 100O kPa, is acting on the top of the piston. Heat is added in a process until the temperature is 500°C (State 2). Answer the following:

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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