Consider an isolated and closed system that comprises two subsystems (1 and 2). The subsystems 1 and 2 are separated by a fixed membrane that allows particle and heat exchange. Both subsystems consist of a mixture of A and B gases. Derive the condition of equilibrium between the subsystems 1 and 2.
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- NUMBER 4 A food product wants to be produced in a small round shape (pellet) by freezing it in a water blast freezer freezer. Air freezer operates at -30 ° C. The initial product temperature is 25 ° C. The pellet has a diameter of 1.2 cm, and a density of 980 kg / m³. The initial freezing temperature is -2.5 ° C. The latent heat of freezing of the product is 280 kJ / kg. The thermal conductivity of the frozen product is 1.9 W / (m ° C). The convective heat transfer coefficient is 50 W / (m² K). Calculate the freeze time. t f = hourhnen't For 1 mole of a gas, the van der Waals equation is where R is the gas constant (0.0821 L atm K mol ') and 7 is the Kelvin temperature 1The constants a and h are constants particular to a given gas and correct for the attractive forces between gas molecules, and for the volume occupied by the gas molecules, respectively. For methane (CH), the constants are a 2.253 L'atm and b4.278 x 10 L. Using the rearranged form of the van der Waals equation RT V -b v? calculate the pressure of 1 mole of methane as a function of container volume 0°C (273 K) at suitable volumes from 22.4 L to 0.05 L. Use one of the at custom functions described in this chapter to calculate the first and second derivatives of the P-V relationship. Compare with the exact expressions dP RT 2a dV (v - b)?v3 d? P 2RT 6a dv? (V -b)Hello. Can you please help answer the question shown in the photo? It is a 3-part question which I have attempted many times. I was able to calculate the correct answer for part 2, but part 1 and part 3 still says I am incorrect. Please show how to properly solve the problem. The topic is heat transfer. Thank you.
- Experiment: A cooling tower uses forced air and column packing to cool downward-flowing water. Inlet water temperature and water flow rate are varied to investigate effects on outlet water temperature, outlet air temperature, and outlet air humidity. The system is first observed operating with ambient room temperature water. A heat load is then applied to the water tank, and the system response is observed. This is to simulate a power plant starting up and placing a cooling load on the cooling water supply. The aim is to compare the system response with and without the load. Data from the Experiment and the make-up water mass flow rate are both shown in the following tables below. For the load cases, determine the net rate of water evaporation from the cooling water to the air using the equation for air flow rate. Compare this with the rate at which make-up water enters the system. For the load cases, determine the rate of work supplied by the pump and compare it to the pump power…The nuclear fuel in cylindrical shape of length L at radius R is covered with aluminum shell at radius RC. The heat energy (Sn) that emerges as a result of splitting in nuclear fuel is per unit volume and is in the form of a parabolic function. Determine the temperature distribution in both regions for the steady state by taking the outer surface temperature of the cylinder. 1/2 Sn = Sn. [a + b(r)] "d 5. RC (cal/cm³ s) ToAn electrical resistance wire made of tungsten dissipates heat to the surroundings at a constant rate. Which of the following equations are you going to use to compute for the temperature at any point within the wire when the temperature throughout the whole wire no longer changes with time? Assume that the wire can be approximated as a thin cylinder. a. Fourier-Biot equation b. Poisson equation c. Diffusion equation d. Laplace equation
- Choose the correct answer for heat: Select one: O a. Path Function O b. Intensive properties O C. Point Function O d. Extensive propertiesQ1 Passage of an electric current through a long conducting rod of radius r; and thermal conductivity k, results in uniform volumetric heating at a rate of ġ. The conduct- ing rod is wrapped in an electrically nonconducting cladding material of outer radius r, and thermal conduc- tivity k, and convection cooling is provided by an adjoining fluid. Conducting rod, ġ, k, 11 To Čladding, ke For steady-state conditions, write appropriate forms of the heat equations for the rod and cladding. Express ap- propriate boundary conditions for the solution of these equations.A food product to produced in the form of small round (pellet) with frozen in the freezer water blast freezer. Air freezer operates at temperature -30 °C. The temperature of the products the beginning is 25 °C. Pellet has a diameter of 1.2 cm, and the density of 980 kg/m³. Temperature frozen beginning is -2.5 °C. The latent heat of freezing product is 280 kJ/kg. Conductivity thermal the frozen product is 1.9 W/(m °C). Coefficient displacement convective heat is 50 W/(m²K). Calculate the time freezing. a. tf =
- Problem 3 The air above the surface of a freshwater lake is at temperature TA while the water is at its freezing point T,(T,< T,). After a time t elapsed, ice of thickness y has formed. Ássuming that the heat, which is liberated when the water freezes, flows through the ice by conduction and then into the air by natural convection, prove y T, – T, pl h 2K where h is the convection coefficient per unit area and is assumed constant while ice forms, K is the thermal conductivity of ice, I is the latent heat of fusion of ice, and p is the density of ice (Hint: the temperature of the upper surface is variable. Ássume that the ice has a thickness y and imagine an infinitesimal thickness dy to form in time dt.)The schematic below illustrates a tank formed from two zones, i.e. liquid and solid. The tank is heated from the left-side with a time-varying solar heat radiation g,ol =f(t) (Wim), while the right-side is kept at a low temperature T. The top surface of the tank is subjected to the ambient conditions, i.e. (hair & Tair ), while its bottom is thermally insulated. Conjugate heat transfer takes place between the two-physically different zones through the fluid-solid interface separating them, while fluid flow is induced due to buoyancy effects where the buoyancy force is approximated according to Boussinesq formulation Fiuoyaney=P0 Bg(T-To). Explain the following: 1- The assumptions required to simulate the below problem. 2- The conservation equations governing the transport phenomena in each zone. 3- The boundary conditions closing the mathematical model. 4- The discretized form of each conservation equation stated in (point 2) above. 5- The appropriate differencing scheme to be used for…Finite Element Modeling The most uncommon mathematical solution used to perform computational simulation Involves idealization of a physical structure, its support conditions, and its applied loading, in a mathematical framework, to determine the structural behavior of the structure. Loads and boundary constraints are applied at locations except at the nodes The primary unknowns are called degrees of freedom (DOFS), at each node. Individual components of a structure are mathematically idealized as discrete (finite) line, surface, and volumetric elements.