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Problem 3. (5 points) For understanding the molecular character of matter and properties of materials, Boltzmann's...
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milk and Ar 4. A 010 (part 1 of 3) 10.0 points The molecular mass of helium is 4 g/mol, the Boltzmann's constant is 1.38066× How 10-23 J/K, the universal gas constant is ice c 8.31451 J/K mol, and Avogadro's number The s is 6.02214 x 1023 1/mol. Given: 1 atmspeci 101300 Pa. speci How many atoms of helium gas are required to fill a balloon to diameter 27 cm at 24 C and of va 1.879 atm? heat...
Problem 3 (5 Points) Using the Laplace transform properties and starting from the Laplace transform of u(t) find the Laplace transform of te-atu(t) +58"(t)
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5. Let T R3 > R3 be the linear transform defined by the following properties: T(0,0,1) = (0,0,0), If v is in the ry-plane, then v is reflected across the x + y = 0 plane There is a matrix A such that T(x) = Ax. The goal of this problem is to understand A. (a) (3 points) Find...
. (40 points) Consider an insulated container of volume V2. N idea gas molecules are initially confined within volume V, by a piston and the remaining volume V2 - Vi is in vacuum. Let T,, P1, E1, S, Al, Hi, G, be the temperature, pressure, energy, entropy, Helmholtz free energy, enthalpy, and Gibbs free energy of the ideal gas at this state, respectively V1 V2-V Using Sackur-Tetrode equation for the entropy of ideal gas where kB R/NA is Boltzmann's constant...
Experiment 11: Investigating Bandgap Energies, Materials, and Design of Light-Emitting Diodes (LED) 3. For a device to be a good conductor, there must be a significant electron population in the conduction band. When no energy is supplied to a semiconductor, the relative population of the conduction band follows Boltzmann's population law. In the case of a diode, the equation is: CB Population = e /RT VB Population Where CB and VB population are the respective electron populations in the conduc-...
(5) Problem 5: Mechanical Properties of Materials (7 Points). The plug has a diameter of 30 mm and fits within a rigid sleeve having an inner diameter of 32 mm. Both the plug and the sleeve are 50 mm long. Determine the axial pressure p that must be applied to the top of the plug to cause it to contact the sides of the sleeve. Also, how far must the plug be compressed downward in order to do this? The...
Problem 4: Heat Exchangers Analysis (25 points) A counterflow plate-type heat exchanger as shown in the figure below is used to cool propane fuel W 50 mm H 25 mm Saturated Vapor propane Thickness t =5 mm H 25 mm Cooling water Length L The flow rate of the cooling water is 0.2 kg/s, while the flow of the propane is 0.1 kg/s. The water enters the heat exchanger at a temperature of 20°C while the propane enters at its...
Problem 3 (10 points). Continuation of Problem 1. [1] (Work 5 points, answer 5 points.) Let X1, X2, X3, X4 be the irreducible characters of D5, where X1 is the trivial character, and X2, X3 are the charac- ters of representations that you found in Problem 2. Compete the character table. Work: Character Table: Char C(1) C(x) C(y) C( ) 1 1 X1 1 X2 Problem 1 (10 points). Let G = D5 be the dihedral group of order 10,...
PROBLEM 3 (45 points) The condenser of a large steam power plant is a heat exchanger in which steam is condensed to liquid water. Assume the condenser to be a parallel flow shell-and-tube heat exchanger consisting of a single shell and 1x10 tubes, each executing two passes. The inner diameter of tubes is D = 50 mm and its thickness is 5 mm (Do not ignore the thickness). The steam condenses on their outer surface. Thermal conductivity of the tube...
5. A. What characteristics describe a traditional elastomer? Be sure to consider transition temperatures, molecular configurations, and conformational morphology. (6 pts) B. How does rubber elasticity differ from elasticity in thermoplastics such as polyethylene or polystyrene? Be sure to describe the molecular-level origin of elasticity for both rubbers and thermoplastics (1.e. what produces the restoring force when strained)? (6 pts) C. The theoretical stress-strain relationship for rubber elasticity is described by o=nRT1a-a) where o is stress, RT is the gas...