Figure 1 shows a heated plate where the boundary conditions are held at constant temperatures. This is known as the Dirichlet boundary condition. Apply the Liebmann's method to solve for the temperatures at TA, TB, Tc and Tp with a relaxation factor of 1.1. Iterate till |ɛal < Ɛs = %3D 10.0% using initial values of TAo = 60 °C, TB0 60 °C, Tco = 35 °C and Tpo = 30 °C. 75 °C TA Тв 65 °C 70 °C 55 °C 45°C 80 °C 20 °C 55 °C Tc 30 °C Figure 1: Heated Plate
Q: For one mole of Van der Waals gas, find P, V, and Tc from the condition T, dP / dV = 0 d'P / dV 2= 0…
A: The Van-der-Waal's gas equation is (P+n2aV2)(V-nb)=nRT…
Q: A room temperature gas of non interacting HF molecules are confined to a bottle with dimensions of…
A:
Q: Different amounts of thermal energy are added to each of three isolated samples A, B, and C of lead.…
A: The energy transferred by the samples is given by,
Q: Suppose we have an ideal fermion gas of identical particles in a "box" at T = 0 K. Which of the…
A: a. True. At T=0 K, all fermions occupy the lowest available energy states in the box, which is the…
Q: An atom’s nucleus is a collection of fermions— protons and neutrons. (a) In calculating the Fermi…
A: (a) When stack protons and neutrons based on their energies, they will fall under different…
Q: The density of gray and white tin are 5.77 x 10³ kg/m³ and 7.37 × 10³ kg/m³. The latent heat for the…
A: We are given densities of gray and white tin. We are also given latent heat of transition. We are…
Q: Calculate the highest linear density (atoms/m) encountered in Vanadium (V)?
A: highest linear density
Q: Consider an isolated bismuth atom being held in its equilibrium lattice site position by the mutual…
A: Detailed solution is given below:
Q: Glasses are materials that are disordered – and not crystalline – at low temperatures. Here is a…
A:
Q: In the Van der Waals Equation of State, what is the effect of the empirical constant b (i.e., if the…
A: Van der waals equation of state is given as P+N2V2*a(V-Nb) = NkBT…
Q: The equilibrium number of vacancies for silver at 800 °C is 3.6 x 1023 vacancies per cubic meter.…
A:
Q: A sample of copper has a mass of 10.68 g when measured in air. It has a mass of 9.47 g when measured…
A: (1) The number of atoms present in the sample can be determined as follows. n=Amatomic×min…
Q: Homework 6 Problem 6: A rigid tank of volume V = 0.015 m3 contains carbon monoxide at a…
A: a. P≈9.697×105 Pab. ΔU≈1477.78 Jc. ΔS≈20.68 J/KExplanation:To solve this problem, we can use the…
Q: When a vibrational contribution is taken into account, the heat capacity of a gas increases with the…
A: The theorem of equipartition of energy states that molecules in thermal equilibrium have the same…
Q: The fundamental vibrational wavenumber ( ṽ) for 1H 127I molecule is 23096 cm-1 A. Determine the…
A: Part (A) Given: The wave number of molecule is v=23096 cm-1. The formula to calculate the reduced…
Q: what is the value of the Helmholtz free energy (defined as A = U - TS)?
A: We can start by using the Boltzmann distribution to find the probability of finding a mole in each…
Q: A rigid tank of volume V = 0.02 m3 contains carbon monoxide at a temperature of T0 = 25° C and a…
A:
Q: A white dwarf star is essentially a degenerate electron gas, with a bunch of nuclei mixed in to…
A: We know that at absolute zero temperature, the Fermi energy is the energy of the highest occupied…
Q: T Einstein, z = 100 cm ¹ Einstein, : = 500 cm 1 1K 1.4021 3.8991 10 K 50 K 100 K 500 K 2.434E-4 1000…
A: Given thatCv=3NkτkT2eτkT(eτkT-1)2 T (K) Cv (KJ/mol) when τ = 100cm-1 Cv (KJ/mol) when τ =…
Q: For a sample of helium, the hard sphere radius is 257 pm, the mean speed of atoms is 1200 m s-1, the…
A: In the following problem, we have a sample of helium. Radius of hard sphere, r=257 pm Mean speed of…
Q: An ideal rectifying contact is formed by depositing gold on n-type silicon doped at 1015 cm-3. At T…
A:
Q: QUESTION 1 A radio wave travels with speed 3.00 x 10 8 m/s. It has frequency 94.3 MHz. What is its…
A:
Q: A white dwarf star is essentially a degenerate electron gas, with a bunch of nuclei mixed in to…
A: Consider there is some spherical mass and spherical shells added to it. Mass of sphere is "m"=4πr3ρ3…
Q: gc (E) = (m*n/π2*ћ3 )*sqrt(2m*n (E-Ec)) Note: Dimension of gc (E) = 1/m3*J Effective mass = m*n…
A:
Q: In solid KCI the smallest distance between the centers of a. potassium ion and a chloride ion is 314…
A: The crystalline structure of KCl is face-centred cubic. The total number of ions present in one unit…
Q: Lattice specific heat of a 1D crystal of inert gas atoms. Consider a one-dimensional crystal of…
A: Consider a one-dimensional crystal of inert gas atoms. Let L be the length of the crystal and N the…
Q: 2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. Initially the helium…
A: We will first write an expression for thermal energy of gas in terms of the temperature. Then we use…
Q: One description of the potential energy of a diatomic molecule is given by the Lennard–Jones…
A:
Q: The density of gray and white tin are 5.77×103 kg/m3 and 7.37×103 kg/m3. The latent heat for the…
A: We are given densities of white and gray tin. We are also given mass of tin. We are also given the…
Q: The fundamental frequency is 2230 cm−1 for the molecule 1H127I. If the H atom is replaced with D (an…
A:
Q: Question 4: Suppose that we want to think of energy as a function of temperature and volume, E(T,V).…
A:
Q: roblem 2: Helium is a very important element for both industrial and research applications. In its…
A: P=pressureV=volumeT=tempratureR=gas constantn=moles
Q: A pinhole is made in a hollow sphere of radius 5 cm whose inner wall is at temperature 727°C. Find…
A: To find- Power radiated per unit area PA=? Given- Temperature (T)= 727+273=1000 K σ=5.7×10-8…
Q: In interstellar space it is estimated that atomic hydrogen exists at a concentration of one particle…
A:
Q: (a) Consider nodal configuration shown below. (a) Derive the finite-difference equations under…
A: In this question we have to find the value of T(m,n). Please give positive feedback if the answer…
Q: The vibrational wavenumber of HBr is 264 cm-1 Evaluate the vibrational partition function of HBr at…
A: In physics, the partition function refers to the statistical properties of a system in thermodynamic…
Q: Silver has an electrical conductivity of 6.30 x 107Ω-1*m-1 at 293 K. Use the Wiedemann-Franz law…
A: Given, σ=6.30×107 Ω.m-1T=293 K
Q: A system consists of 1 mol of identical and non-interacting molecules. Determine (a) the population…
A: (a) Given: The temperature of the gas is 25∘C. The energy levels are separated by a distance of 100…
Q: The following figure shows how the ratio of AsH3 to Ga(CH3)3 partial pressures in MOCVD affects the…
A:
Q: 10 109 10-10 B 10-11 10-12 A 10-13 10-14 10-15 10-16 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 1000/T (K-)…
A:
Q: The potential energy of two atoms in a diatomic molecule is approximated by U(r) = a/r12-b/r6, where…
A: The objective of the question is to find the dissociation energy of a diatomic molecule in terms of…
Q: In a certain physical system, there are two energy states available to a particle: the ground state…
A: Energy of the ground state E1 = 0 eVEnergy of the excited state E2 = 1.5 eVTemperature of the system…
Q: the vibrational frequency of I2 is 214.5 cm-1. (i) Using the harmonic oscillator model, evaluate the…
A: ) Using the harmonic oscillator model, the vibrational partition function of I2 at 1000K can be…
Q: A gas consists of three atoms with access to three different quantum states with the same energy.…
A:
Q: Assume that most of the electromagnetic energy from the sun is in the visible region near 500 nm.…
A:
Q: In the Van der Waals Equation of State, what is the effect of the empirical constant a (i.e., if the…
A: In the above given van der waals equation the constant "a" signifies that if the value of "a" is…
Step by step
Solved in 2 steps with 2 images