3) a) Calculate energy change, AG", the size of the critical nucleus, r and the number of atoms in thecritical nucleus when solid copper forms by homogeneous nucleation.Given : T= 1358 K, AT 0.2Tm AHI = 1628 Joules/cm' = 1628 x 10' ergs/cm', y= 177 ergs/cmThe lattice parameter of face-centered cubic copper, Cu is a, = 0.3615 nm = 0.3615 x 10° m.b) Calculate the number of copper atoms that must come together to produce a heterogeneous%3!nucleus of a spherical cap of a volume:Ve- Th'/3 x (3r – h) where h = 0.2r

Tm = 1358K ∆T = 0.2Tm ∆Hf = 1628J/cm3 = 1628×107erg/cm3y = 177ergs/3ao = 0.36@5nm = 0.3615×10-9m

3) a) Calculate energy change, AG", the size of the critical nucleus, r" and the number of atoms in the critical nucleus when solid copper forms by homogeneous nucleation. Given: T=1358 K, AT=0.2T AHf=1628 Joules/cm³= 1628 x 10' ergs/cm³, y = 177 ergs/cm² The lattice parameter of face-centered cubic copper, Cu is a, = 0.3615 nm = 0.3615 x 10 m. b) Calculate the number of copper atoms that must come together to produce a heterogeneous nucleus of a spherical cap of a volume: Vomh²/3 x (3r-h) where h = 0.2r

3) a) Calculate energy change, AG", the size of the critical nucleus, r" and the number of atoms in the critical nucleus when solid copper forms by homogeneous nucleation. Given: T=1358 K, AT=0.2T AHf=1628 Joules/cm³= 1628 x 10' ergs/cm³, y = 177 ergs/cm² The lattice parameter of face-centered cubic copper, Cu is a, = 0.3615 nm = 0.3615 x 10 m. b) Calculate the number of copper atoms that must come together to produce a heterogeneous nucleus of a spherical cap of a volume: Vomh²/3 x (3r-h) where h = 0.2r

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

3 Rubidium (Rb) adopts a body-centred cubic, BCC, structure at a pressure of 1 atm. Upon application of high pressure (of the order of 30,000 atm), Rb undergoes a structural phase transition to a face-centred-cubic, FCC, structure. (i) Describe what could be the main factor that induces the phase transformation. (ii) Describe how the diffraction patterns of the two forms would differ.
(b) Chromium has the iron (monoatomic body-centered cubic) structure. Its density is 7.19 g.cm³, and the length of the edge of the unit cell is 288.4 pm. Use these data to calculate a value for the Avogadro constant. (4)
An element with density 2.8 g cm-3 forms a fee unit cell with edge length 4 X 10-8 cm. Calculate the molar mass of the element. (Given: N. = 6.022 X 1023 mol-1).
The P=T phase diagram of iron(Fe) is shown below, where the - Fe and -Fe phases are in body-centered cubic(bcc) structure, while the - Fe is in Face-centered cubic(fcc) structure. (a) Draw schematic G-T diagrams of Fe at 1 and 10^-8 atm and the G-P diagram at 1500 C. (b) Please draw schematic H-T and S-T diagrams of Fe at 1 atm. (d) Please draw schematic G-T and G-P diagrams of Fe at the fcc-liquid-Vapor triple point. (e) Please estimate the enthalpy change and entropy change of one mole of Fe being heated from 30 to 1500 °°℃. (f) Please estimate the enthalpy changes of one mole of fe under the → phase transformation at 500 and 1200 °C. (e) Please calculate the heat of evaporation of Fe at the normal boiling temperature. (h) Please explain why the phase boundaries of,, and /liquid equilibria are much steeper than those with the vapor phase in the phase diagram. Note: Please make sure the slopes and curvatures are with physical meanings
At a certain temperature and pressure an element has the simple body-centred cubic unit cell, depicted below. The corresponding atomic radius is 1.241 Å and the density is 7.875 g cm-3. Calculate (and enter) the atomic mass for this element (in amu).
Clausthalite is a mineral composed of lead selenide (PbSe). The mineral adopts the rock salt structure. The length of an edge of the PbSe unit cell is 6.13 ÅÅ= at 25 ∘C. Determine the density of PbSe in g/cm3. Express the density in grams per cubic centimeter to four significant figures.
Find the planer density (Po) in (atom/mm) of (100) in a face centered cubic unit cell with lattice constant of 3.5 A, and determined the atomic radius
estion Four Explain why the average density of metals is higher than that of ceramics or polymers i.e pmetals > (a) Peramics > Ppolymers. (b) Copper crystallises as FCC (face centred cubic). Given that the atomic radius and mass of a given copper sample are 1.28 x 10:10 m and 64.15 g respectively, calculate the density of the copper sample. Take Avogadro's number, NA = 6.023 x 1023 atoms/mole. (c) The linear density, LD, of an atom is given by the equation = Natoms where Natoms is the Ldv number of atoms and Lav is the unit length of the direction vector, both taken on a particular plane. Calculate the linear density of an aluminium atom with a lattice parameter of 4.05 x 1010 m and in a [110] direction. (d) Using neat sketches, show the difference between a triclinic and hexagonal crystal systems.
Sodium hydride (NaH) crystallizes in the rock-salt structure, with four formula units of NaH per cubic unit cell. A beam of monoenergetic neutrons, selected to have a velocity of 2.639 × 103 ms-1 , is scattered in second order through an angle of 2u= 36.26° by the parallel faces ofthe unit cells of a sodium hydride crystal.(a) Calculate the wavelength of the neutrons.(b) Calculate the edge length of the cubic unit cell.(c) Calculate the distance from the center of an Na+ ion to the center of a neighboring H- ion.(d) If the radius of an Na+ ion is 0.98 Å, what is the radius of an H- ion, assuming the two ions are in contact?
(b) A sample of titanium monoxide has a unit cell dimension of 4.182 A, a Ti/O ratio of 1.005 and an experimental density of 5.764 x10° kg m. Determine whether the defect in this sample is due to Ti cation excess or oxide vacancies.
Which liquid samples: Heated or unheated magma (=honey) has the lowest viscosity and the highest viscosity? State the reason why, and discuss the effect of temperature in the polymerization Si-O bonds in silica.
Coordination number in ceramics crystal structure refers to the number of_1 surrounding alan 1 = electrons ; 2 = proton 1 = cation ; 2 = anion 1 = anion ; 2 = cation 1 = protons ; 2 = electron