Question

Problem 8-7. Find the volume of the first Brillouin Zone in sodium (Na) and in copper (Cu).

Answer #1

Problem (M-1). The dispersion along the first band of a material
is given by:
E(k) = 0.03k6 - 0.36k^4 + 1.95k^2 on the [110] axis
of the Brillouin Zone. If k = 3 Å^-1, graph the dispersion. Then
graph the velocity of the given electrons as a function of k along
the [110] direction.

Problem 7-5. Find the Fermi energy and Fermi velocity of the
induction electrons in a sodium metal.

Problem: You weigh out a piece of copper wire (AW=63.546):
Weight of copper standard....................0.2992 g Dissolve it
in a slight excess of concentrated nitric acid. Add to the solution
the required amount of concentrated ammonia. Transfer this
quantitatively to a 100 mL volumetric flask, dilute to volume, and
mix thoroughly. 10.00 mL of this is pipetted into a 100 mL
volumetric flask, the required amount of concentrated ammonia is
added and diluted to volume. This is Standard 1. Standard 2...

Preparation of Copper(I) Chloride
Reactions:
1) Cu(S) + 4HNO3(aq) ->
Cu(NO3)2(aq) + 2NO2(g) +
2H2O(l)
2) 2HNO3(aq) + Na2CO3(s) ->
H2O(l) + CO2(g) + 2NaNO3(aq)
3)Cu(NO3)2(aq) + Na2CO3(s)
-> CuCO3(s) + 2NANO3(aq)
4)CuCO3(s) + 2HCL(aq) -> CuCl2(aq) +
H2O(l) + CO2(g)
5)CuCl2(aq) + Cu(s) -> 2CuCl(s)
Report:
Weight of Copper: 1.067g
Volume of Added Nitric Acid: 5.0mL
Total weight of added Sodium Carbonate: 3.929g
Weight of watch glass and filter paper: 51.204g
Weight of watch glass, filter paper, and CuCl...

Apply Lagrange multipliers to solve the problem. Find the
dimensions of the box with a volume of 8 ?3 that has minimal
surface area.

the first four coils are made of copper with resistivity of p=1.72
E-8. the fifth coil is made of an alloy called German silver of p=
28.0 E-8 ohmes. the first second and fifth coils are 10 m long. the
third and fourth are 20 m. the diameters of the first third and
fifth are .0006439 m and the diameter of Second and fourth coils
are .0003211. how do you calculate the resistance for each of the
five coils. pl/a

Find the solution to the boundary value problem:
d2y/dt2−4dy/dt+3y=0, y(0)=7,y(1)=8
y=

a)
Given the region bounded by y=1/x, x=7, y=7 and rotating around
x=7, find the volume.
b) Find the volume of the solid given by y=2x-x^2, while
rotating around the y-axis.

A 7.54 m long copper wire (ρcopper =
1.69×10-8 Ω.m) has a cross sectional area 6.96
mm2. If the wire is reshaped to twice its original
length with no change of volume, find its new wire resistance.

To find the volume of a flask, it is first evacuated so it
contains no gas. Next, 3.3 g CO2 is
introduced into the flask. On warming to 30 °C,
the gas exerts a pressure of 810.0 mm Hg. What is
the volume of the flask in milliliters?

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