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- A rigid insulated tank is divided into 2 equal compartments by athin rigid partition. One of the compartments contains air, assumedto be an ideal gas at 800 kPa and 250◦C. The other compartment isunder a vacuum. The partition is suddenly broken and the air rushesinto the evacuated compartment. The tank pressure and temperatureeventually equilibrate. (a) what is the final temperature of the gas ◦C?(b) what is the final pressure, kPa?(c) how much work is done by the system, kJ/kg?(d) how much heat is transferred to the system kJ/kgA mixture of 1 kmol of gaseous methane and 2 kmol of oxygen initially at 258C and 1 atm burns completelyin a closed, rigid container. Heat transfer occurs until the products are cooled to 900 K. If the reactants andproducts each form ideal gas mixtures, determine (a) the amount of heat transfer, in kJ, and (b) the finalpressure, in atm.A mixture of gaseous reactants is put into a cylinder, where a chemical reaction turns them into gaseous products. The cylinder has a piston that moves in or out, as necessary, to keep a constant pressure on the mixture of 1 atm. The cylinder is also submerged in a large insulated water bath. (See sketch at right.) The temperature of the water bath is monitored, and it is determined from this data that 252. kJ of heat flows out of the system during the reaction. The position of the piston is also monitored, and it is determined from this data that the piston does 337. kJ of work on the system during the reaction.
- 6. As shown in Figure, a gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series: Process 1-2: Compression with U 2 =U 1 . Process 2-3: Constant-volume cooling to p 3 =140 kPa,; V 3 =0.028 m^ 2 . Process 3 - 1 : Constant-pressure expansion with W 31 =10.5 kJ. For the cycle, W eycle =28.3 kJ . There are no changes in kinetic or potential energy. Determine (a) the volume at state 1, in m ^ 3 . (b) the work and heat transfer for process 1-2, each in kJ. (e) Can this be a power cycle? A refrigeration cycle? Explain.1 kg of Air was heated at constant temperature from 0.03 m3 and 101 kPa to 0.01 m3. By how much did the internal energy change? Assume (cv = 0.7177 kJ/kg.K)A smelting plant that extracts copper from ore uses a fuel analyzing 25% methanol and 75% 1-propanol to produce heat. This fuel costs $2.7 per liter. In order to reduce costs, the fuel was switch to a 50% methanol and 50% 1-propanol blend which is at $2.2 per liter. Calculate for the %CV loss due to sensible heatb. %CV loss due to unburnt COc. %CV loss due to uncondensed waterd. Thermal efficiency of the combustion
- A piston/cylinder setup contains 1 kg of air at 20°C with an initial volume of V1=0.1 m3, as shown in Fig. Q7. Initially, the piston rests on some stops, but it is possible for it to move within the cylinder without friction. To lift the piston and start such motion, an air pressure of 1400 kPa is required. Now, heat is transferred to the system so that the temperature of the air reaches to a final value of 300°C. Fig. Q7 A. Which statement is true? The air can lift the piston before the temperature reaches to 300°C The air cannot lift the piston before the temperature reaches to 300°CConsider an equimolar mixture of oxygen and nitrogen. Determine the critical temperature, pressure, and density for stagnation temperature and pressure of 580 K and 350 kPa. The specific heat ratio and molar mass are k = 1.395 and M = 32 kg/kmol for oxygen and k = 1.4 and M = 28 kg/kmol for nitrogen.Q1) A constant volume tank contain 1 mole ofC7H14and 12 mole of O2 gas at a temperature of 25 °C and 1 bar. The contents of the tank is ignited and C7H14 is burned completely and final products temperature is found to be 1700 K. Determine the heat transfer during this process. ( take daltaHo = -47800 kJ/kg).
- Determine the theoretical flame temperature that can beobtained by the combustion of methane with 25% excess air.Air and methane enter at 298K and a pressure of 1 atm. Thereaction is complete. Standard heat of formation at 298 inkJ/kmol are: Methane (g) = -74520, CO2 (g) = -393500, Watervapor (g) = - 241813.A mixture of gaseous reactants is put into a cylinder, where a chemical reaction turns them into gaseous products. The cylinder has a piston that moves in or out, as necessary, to keep a constant pressure on the mixture of 1atm . The cylinder is also submerged in a large insulated water bath. (See sketch at right.) From previous experiments, this chemical reaction is known to absorb 201.kJ of energy. The position of the piston is monitored, and it is determined from this data that the system does 121.kJ of work on the piston during the reaction.a sample of 98g of pure sulfuric acid is dissolved in 2.0 kg of water in an insulated vessel at 15°C, and thetemperature rises rapidly because of the process of forming the solution. The reaction is summarized in theequation H2SO4(l) -> H+(aq) + HSO4 –(aq). Estimate the temperature change assuming that the heat capacityof the solution is 4.0 J/gK and the heat capacity of the vessel is 300 J/K.