Problem 10.1 moles of an ideal gas at pressure p= 1.000 bar is confined to a cylinder by a piston. The apparatus is thermostatted at T= 300 K. A weight of mass m is placed on the piston, and the gas expands until its pressure has dropped to 0.9600 bar, liftingthe mass through a height of 0.500 m.(1) What is the largest value that the mass m can have in this process?(2) After the expansion is complete, we remove the mass m and replace it with a weight of larger mass m'. The piston nowfalls back through 0.500 m, compressing the gas, and returning the gas to its initial thermodynamic state. What is the smallestvalue that m' can have in this process?(3) Assuming that m has its maximum value, and m' its minimum value, compute the total thermodynamic work for thiscyclical process. Is net work done by the system, or on the system, or is no work done? Draw a qualitative graph on a pV plotthat illustrates what you have found. We will see later that your result is a consequence of the Second Law of Thermodynamics.

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Answered: 0.1 moles of an ideal gas at pressure…

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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Nine moles of a monatomic ideal gas at (7 MPa, 7 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 7 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four processes in the pV plane. p( MPa) p( MPa) p( MPa) 4 14 7 7 1 2 4 7 2 4 2 2 2 1 1 3 V (L) V (L) V (L) 7 7 14 7 14 p( MPa) 2 14 7 4 V (L) 7 (b) Find the total work done by the gas (in J).
P1.3 A mass of gas at a temperature of 40°C and pressure of 2 bar is trapped in a cylinder behind a leak-proof piston. The temperature of the gas is to be increased to 65°C while its pressure is to be decreased to 1.25 bar Describe how this change of state could be brought about in a quasi-èquilibrium manner. You may make use of any external devices required and also make any assumptions about the walls of the cylinder.
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A rigid vessel of volume 0.5m 3 (Vessel X) containing hydrogen at 200K and a pressure of 60kPa is connected to a second rigid vessel of volume 0.8m 3 (Vessel Y) containing Argon at 300K at a pressure of 40kPa. A valve separating the two vessels is opened and both are cooled to a temperature of 150K. What is the final pressure (kPa) in the vessels?
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43.0 g of 40Ar gas are sealed in a container at an initial pressure of 1.50 atm and an initial volume of 0.0500 m3 (state 1). The gas is then made to expand very, very quickly until its volume doubles (state 2). Then it is compressed very, very slowly back to its initial volume (state 3). Show the two processes on a pV diagram, and fill out the table below. p1 = p2 = p3 = V1 = V2 = V3 = T1 = T2 = T3 =
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A chamber is divided equally into two parts by a membrane. One side contains Hydrogen, H2, at a pressure of 200 kPa and temperature of 300 K, and the other side is evacuated (a perfect vacuum). The total chamber volume is 0.005 m3. At time t = 0, the membrane ruptures and the hydrogen expands freely into the evacuated side. The chamber can be considered adiabatic (i.e. perfectly insulated). Find the final values of the temperature and pressure.

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