As shown in the figure, a tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen (N₂), initially at 27°C, 0.1 MPa. Over a period of 20 minutes, electric power of 0.28 kW is provided to the resistor. During this same period, a heat transfer of magnitude 10.5 kJ occurs from the nitrogen to its surroundings. Assume ideal gas behavior, but do not assume constant specific heats. Step 1 Determine the final temperature, in °C, and the final pressure, in MPa. Determine the final temperature, in °C. T₂= i Save for Later Nitrogen, N₂ m = 2 kg T₁ = 27°C P₁ = 0.1 MPa °℃ Qout, 12 = 10.5 kJ É electric Attempts: 0 of 5 used Step 2 The parts of this question must be completed in order. This part will be available when you complete the part above. Submit Answer

As shown in the figure, a tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen (N₂), initially at 27°C, 0.1 MPa. Over a period of 20 minutes, electric power of 0.28 kW is provided to the resistor. During this same period, a heat transfer of magnitude 10.5 kJ occurs from the nitrogen to its surroundings. Assume ideal gas behavior, but do not assume constant specific heats. Step 1 Determine the final temperature, in °C, and the final pressure, in MPa. Determine the final temperature, in °C. T₂= i Save for Later Nitrogen, N₂ m = 2 kg T₁ = 27°C P₁ = 0.1 MPa °℃ Qout, 12 = 10.5 kJ É electric Attempts: 0 of 5 used Step 2 The parts of this question must be completed in order. This part will be available when you complete the part above. Submit Answer

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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A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is V1= 1.00 m3, the pressure is p1= 400.00 kPa, the temperature is T1= 300.00 K. An electric heater within the device is turned on for a time of Δt = 5.00 min. The current is I = 3.00 A, and the source voltage is V = 120.00 V. During the heating process, the gas expands, and a heat loss of Qout = 2.80 kJ occurs. The gas constant is R = 0.297 kPa·m3/(kg·K), and the room temperature specific heat at constant pressure is cp =1.039 kJ/(kg·K). Calculate the mass of the gas, m__________ (kg)
a) A rigid recovery cylinder has a volume of 0.02 m³, contains Refrigerant R-134a as shown in Figure Q1. Initially, the density and temperature of the refrigerant are 85 kg/m3 and 48°C, respectively. Due to heat transfer to the refrigerant, its pressure and temperature were observed to increase until it becomes saturated vapor. Show the process on a T-v diagram with respect to saturation lines, and determine, i) the final temperature of the refrigerant, °C, ii) the heat transfer to the refrigerant, kJ. R- 134a Qin 48°C 85 kg/m? 0.02 m Fig. Q1 b) The United States Environmental Protection Agency (US EPA) has specified that the temperature of recovered refrigerant inside the rigid recovery cylinder must not exceed 52°C for safety reasons. To satisfy this requirement, the saturated vapor in part a) above needs to be cooled to a mixture at 52°C by removing heat from the refrigerant. Determine the amount of heat (kJ) that needs to be removed from the refrigerant.
Krypton in a closed system is compressed adiabatically from 74 K and 1 bar to a final pressure of 24 bar. What is the final temperature in K? Assume krypton is an ideal gas. From Appendix B in the text, we can assume the heat capacity of krypton is independent of temperature and CP=2.5R , where R is the molar gas constant R=8.314 J/(mol K). For an ideal gas, recall CV=CP−R=1.5R. Report your answer in units of K using three decimal places.
b) As shown in Figure A2-b, an insulated rigid container holds 1.4 kg of saturated water and air. At the initial state, the temperature of the saturated water is 210°C and 75% of the volume is occupied by air and the rest by the saturated liquid. An electric heater inside the container heats the water and converts to saturated vapor after 0.333 hours. Air Water 1.4 kg, 210°C Figure A2-b Determine the volume of the container in m³. Determine the temperature of the saturated vapor (i) (ii) (iii) Determine the power of the resistor
A piston/cylinder system with a radius of 1m is filled with 0.75kg water at 50˚C and has an initial piston height of 2m (state 1). Heat was transferred to the system such that the water at state 2 became saturated vapor. Afterward, the piston is locked, and the system is heated to 165˚C (state 3).Given the data above, calculate the work, heat transfer, and height of the piston, and create a p-v diagram for the entirety of the process.
A vertical cylinder is fitted with a freely-moveable piston of 0.2 m diameter and contains 0.1 kg of (liquid) water. At the initial State 1, the water remains in equilibrium as saturated liquid at 15 "C with the piston applying a pressure of 7.0 bar on the water in the cylinder. The water is then slowly heated until the piston rises to a height of 0.6 m above its initial position to reach the equiliorium at State 2. The piston is now held fixed at this location and the cylinder contents are further heated to increase its pressure to 15 bar at State 3. (a) Find the volume of water at State 1. (b) Show that the cylinder contains saturated (wet) steam at State 2 and determine its dryness fraction at this state. (c) Find the steam temperature at State 3. On a T-v diagram, indicate the process undergone by the contents of the cylinder from State 1 to State 3.
Carbon dioxide (CO₂) fills a closed, rigid tank fitted with a paddle wheel, initially at 80°F, 50 lb/in², and a volume of 1.6 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.
3. Air is contained within a piston-cylinder assembly The cross sectional area of the piston is 0.01 m². Initially the piston is at 1 bar and 25°C, 10 cm above the base of the cylinder. In this state, the spring exerts no force on the piston. The system is then reversibly heated to 100°C. As the spring is compressed, it exerts a force on the piston according to: F=-kx where k= 50,000 N/m and x is the displacement length from its uncompressed position. Determine the work done. a. -166 J b. -216 J c. 166 J d. 216 J
Calculate the total work done (in J) by 2.19 mol of an ideal gas with a pressure of 4.85 MPa and a volume of 4.1 L that undergoes a process which includes the following steps: Isothermal expansion that doubles the volume Isochorical cool down until the pressure is 0.92 MPa Isothermal compression until the volume goes back to 4.1 L and the pressure is 2.03 MPa. Isochorical heating to return to the initial state
2) Two glass bulbs, one on the left with a volume of 2 liters and the other on the right with avolume of 6 liters, are connected to one another by a thin tube that is initially closed by astopcock. The bulb on the left has 0.1 moles of ideal gas, and the bulb on the right isevacuated. The system is in thermal equilibrium with the surroundings at 300K. When thestopcock is opened, the gas flows out to fill both bulbs. Calculate A for this process. If wewere to insert a propeller to extract work as the gas flows from left to right, what is themaximum amount of work that we could possibly extract?
Air as an ideal gas is contained in a piston/cylinder system constrained by a non-linear spring. Initially the gas in the cylinder is at 100 kPa, which is balanced by the atmospheric pressure outside of the cylinder (the weight of the piston is negligible). The force on the spring at the start is zero. The spring force is F=kx². k=600. kNt/m². The cross-sectional area of the piston is 1 m², the initial volume is 1 m³, and the initial temperature is 300 K. Heat is added until the volume of the gas has expanded to 1.5 m³. Find: (a) The work done by the gas on the face of the piston (kJ). (b) The final temperature (K). (c) The amount of heat added (kJ). Hint: This problem is easiest if you calculate the spring work and the atmospheric work separately. Air V₁=1.0 m³ Piston Area = 1.0 m² T₁=300 K P₁=100 kPa Atmospheric P on upper piston face= 100 kPa
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