The electrical conductivity and the electron mobility for copper
at room temperature are 6.0 X 107...
The electrical conductivity and the electron mobility for copper
at room temperature are 6.0 X 107 (W.m)-1 and
0.003 m2/V-s, respectively. Compute the number of free
electrons per copper atom.
The Fermi energy for Cu is 7.0 eV and its conductivity at room
temperature is measured to be sigma = 5.9x10^7 omega ^-1 m^-1 a.(5
pts) What is the Fermi speed, in absolute units and as a fraction
of the speed of light?b.(5 pts) What is the mean free path?
An electron with a speed of 3.5 x 107 m/s travels upwards into a
3.0 T magnetic field directed into the page. After the particle is
deflect it enters a circular path. What direction is the particle
deflected? What is the radius of the circular path the electron
travels through? Include a diagram.
A 20.0 m long wire is carrying a 150.0 mA current parallel to a
second wire that is extremely long which carries a current of 250.0
mA...
3. Consider the following concerning use of single electron
tunneling devices at room temperature:
a. The charging energy needs to be larger than the thermal
energy (kT). Calculate the minimum capacitance needed to meet this
criteria for a single electron.
b. Based on this, calculate the area of a capacitor with this
capacitance assuming a that the relative dielectric constant is 10
and the distance between capacitor plates (d) is 1 nm.
c. Given current lithographic techniques (may require a...
The conductivity of aluminum is 4.1×10^7 Ω−1 m−1 at room
temperature. Calculate the following optical properties at 500 nm
according to the Drude model. (v1 = 3.82 × 10^15 s-1 .)[1] ε1 (real
parts of the complex dielectric constant)
[2] ε2 (imaginary parts of the complex dielectric constant)
[3] n (refractive index)
[4] k (damping constant)
[5] R (reflectivity)
1. A large copper tank is 3 m long when it’s at room temperature
20 oC. When the tank is partially filled with hot water, its
temperature rises to 95 oC. What is the length of the copper tank
at this temperature? The coefficient of linear expansion for copper
is 17×10-6 /oC. (5pts)
2. When you press on the brake pedal of a car the car slows
down. This means that the car’s kinetic energy decreases. You might
ask where...
For Si single crystals: ni = 1.45 x 1010 cm-3 ; electron
mobility µn = 1400 cm2 V-1 s-1 ; hole mobility µp = 450 cm2 V-1 s-1
. (a) A single crystal of Si is highly doped with B (a p-type
dopant). It has a measured resistivity of 1.5 x 10-3 W-cm.
a) What are the free hole (p) and free electron (n) concentrations
(in carriers/cm3 ) in the material?
b) If a quantum dot (diameter = 5 nm)...
For the reaction A + B 2C, Kc = 1.7 x 10?3 at room temperature
If the initial concentration of A = 2.24 M, B = 0.56 M, what is the
equilibrium concentration of C? *Do you need to use the quadratic
equation or can you assume that x is negligible?*
An uncatalyzed reaction has a rate of 4.4 x 10-7 s–1 at room
temperature (25 °C). When an enzyme is added the rate is 3.3 x 104
s–1. If the height of the activation barrier for the uncatalyzed
rate is 28 kcal/mol, what is the height of the activation barrier
for the catalyzed rate? Report your answer in terms of kcal/mol to
the nearest tenths. Also, assume the pre-exponential terms for the
uncatalyzed and catalyzed reactions are the same.
Solid Mg(OH)2 has a Ksp value of 1.8 x
10-11 at room temperature. You are given a 0.150L
solution of a 0.100M MgCl2 solution to mix with 0.150L
of 0.100M NH3.
How many grams of (NH4)2(SO4)
would you need to add to this solution to keep Mg(OH)2
from precipitating?
The Kb (NH3) = 1.8x10-5