A large plane wall is subjected to specified heat flux and temperature on the left surface and no conditions on the right surface. The mathematical formulation, the variation of temperature in the plate, and the right surface temperature are to be determined for steady one-dimensional heat transfer. k=2.5 W/m-°C. k =700 W/m? Tj=80°C L=0.3 m
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- A plane wall 15 cm thick has a thermal conductivity given by the relation k=2.0+0.0005T[W/mK] where T is in kelvin. If one surface of this wall is maintained at 150C and the other at 50C, determine the rate of heat transfer per square meter. Sketch the temperature distribution through the wall.2.2 A small dam, which is idealized by a large slab 1.2 m thick, is to be completely poured in a short Period of time. The hydration of the concrete results in the equivalent of a distributed source of constant strength of 100 W/m3. If both dam surfaces are at 16°C, determine the maximum temperature to which the concrete will be subjected, assuming steady-state conditions. The thermal conductivity of the wet concrete can be taken as 0.84 W/m K.A metallic container of fixed volume of 2.5 × 10−3 m3 immersed in a large tank of temperature 27 °C contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.
- hi, can you solve this ? The temperature of the engine of an armored personnel carrier returning from an exercise from 100 ° C drops to 80 ° C after 10 minutes in an environment where the air temperature is 20 ° C. What will the engine temperature be after 40 minutes?How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that has properties similar to water with a density of = 1000 kg/m3 and thermal conductivity of k = 0.606 Watts/(mC) and specific heat of c = 4182 J/(kg C). Suppose that an egg is fully cooked when the temperature at the center reaches 70 C. Initially the egg is taken out of the fridge at 4 C and placed in the boiling water at 100 C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100 C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes.How do I set up equations for a mass connected to a wall by a spring and a damping pot, which then has a force applied to it?
- Air is trapped in the piston in the cylinder. A spring is connected to the upper portion of the piston and returns the force upon compression by the F = -kx equation. k = 50,000 N/m and x is the distance traveled when the piston is compressed. The piston is located 10 cm above the bottom of the cylinder with a cross-sectional area of 0.01 m2 and an initial condition of 1 bar and 25°C. In this state, the spring does not apply force to the piston. At this time, the system was reversibly heated and the temperature rose to 100°C. (a) What happened was (b) What is the heat transferred?A gas vessel 1.5m x 1.5m x 2m containing Carbon Dioxide (CO2) with a temperature of -3°C. The right vessel wall is fixed to the wall, as shown in Figure Q1 (a). A minimum force of 10kN is required to split/open the gas vessel. Calculate: i. Vacuum pressure of CO2.ii. Mass of the CO2. Take molecular weight for Oxygen= 16, Carbon = 12, atmosphericpressure 100kPa, and universal gas constant = 8314 J⋅kmol−1⋅K−1Air is contained in a piston cylinder arrangement as shown in Fig.(Refer attachment). The piston can be assumed to be massless, frictionless, and perfectly insulated. 10 kg of dry ice (solid CO2) is placed on top of the piston. The initial conditions for air inside the cylinder are P1=121 kPa, T1= 300 K. Dry ice sublimates gradually, and its mass reduces to 5 kg. Ambient air is always at room temperature (27oC) and atmospheric pressure. (Given: R=287 J/kg ·K, g = 9.8 m/s2, CP/CV for air = 1.4; Neglect all heat transfer to the dry ice block.) a)Assuming the cylinder to be perfectly insulated, calculate the specific work done for the process. b)Assuming the cylinder to be perfectly conducting, what is the heat required per unit mass of air to complete the process? c) Plot the processes described in (a) and (b) together on a P-V diagram. From this plot, which process appears to have more work? Explain.
- 2. I just need the graph of this. A certain ideal gas (unknown) inside a close piston-cylinder assembly undergoes a set of processes that composed of Isothermal expansion from State point 1 to state point 2, Isometric heat rejection from state point 2 to state point 3, and Isentropic compression from state point 3 back to the initial condition. If the maximum pressure is 3000kPa and maximum and minimum volume is 200cm3 and 50cm3An electric heater producing 260 W of heat is used to warm up a room containing 7 m3 of air. If we assume the room is perfectly sealed and there is no heat loss through the room boundaries, such that all of the heater output goes into increasing the air temperature, how long will it take to heat up the air in the room from 5.0 °C to 24.1 °C? Give your answer to the nearest minute and assume that the specific volume (v = 0.85 m3/kg) and specific heat capacity at constant volume (cv = 1.005 kJ/(kg K)) remain constant throughout the heating process.Hi, can you help me with the following problem? A thermally insulated tank of water 2 m x 2 m, depth 1 m is stirred with a paddle for threehours. If the paddle is driven by a motor whose shaft power is 8 kW determine the rate ofchange of temperature in degrees C per hr and the increase in temperature of the water.The specific heat of water is 4200 J/kgC. Identify a system and start your analysis from anappropriate form of the Fist Law of Thermodynamics