Question

A cube of silver (density = 10.5 g/cm^3) has a mass of 90.0 g a resistivity of 1.59x10^-8. The atomic number of silver is 47 and its molar mass is 107.87 g/mol

a.) find the length of the cubne on each side.

b.)What is the resistance between opposite faces of the cube?

c.) assume each silver atom contributes one conduction electron. average drift speed of electrons when potential difference of 10^-5 V is applied to the opposite faces

Answer #1

a) A 4.7 g wire has a density of 4.8 g/cm^3 and a resistivity of
9 × 10^−8 Ω · m . The wire has a resistance of 66 Ω . How long is
the wire? Answer in units of m.
b) The wire is made up of atoms with molecular mass 75 g/mol.
What is the drift speed of the electrons when there is a voltage
drop of 132 V across the wire? Assume there is one conduction
electron...

Calculate the radius of an silver atom in cm, given that Ag has
an FCC crystal structure, a density of 10.5 g/cm3, and
an atomic weight of 107.87 g/mol.

A chunk of aluminum has density of 2.7 g/cm3 and atomic mass of
26.98 g/mole; where each atom in the chunk contributes one
conduction electron. Calculate the following:-
1) the Fermi energy.
2) the Fermi temperature and
3) the degeneracy pressure.

The atomic mass of silver is 107.9. A cube of silver weighs
30.3g, and its density is 10.6 g/cm3.
Calculate
(i) the volume of the sample.
(ii) The number of silver atoms in the sample
(iii) If we consider the sample is composed of spherical atom
each with radius r and volume vatom=4/3 pi * R^3 ,and if we assume
that the total volume of the spheres in the sample is 74.0 % of the
total volume of the sample,...

a) Calculate the number of electrons in a small, electrically
neutral silver pin that has a mass of 6.3 g. Silver has 47
electrons per atom, and its molar mass is 107.87 g/mole.
b) Imagine adding electrons to the pin until the negative charge
has the very large value 1.10mC. How many electrons are added for
every 10^9 electrons already present?

A copper wire that has a diameter of 2.00 mm carries a current
of 10.0 A. Assuming that each copper atom contributes one free
electron to the metal, calculate the drift speed of the electrons
in the wire. The molar mass of copper is 63.5 g/mol and the density
of copper is 8.95 g/cm3.

A metal has a mass density ρ = 8.95 g/cm3 . Assuming the
effective mass of electron in the metal m*=0.5m0. The electron rest
mass m0 = 9.11×10-31 kg. The atomic mass is 63.5, Avogadro’s number
is 6.022×1023 . The Boltzmann constant kB = 1.38×10-23 J/K =
8.62×10-5 eV/K. The reduced Planck constant ћ = 1.55×10-34 J·s.
Calculate the following assuming the periodic boundary
condition.
(a) the concentration of the conduction electrons (assume that
each Copper atom has one electron...

an aluminium wire having a cross-sectional area A = 4 x 10^-6
m^2 carries a current I = 5 A. find the drift speed (vD) of the
electrons in the wire. The density of aluminium is 2.7 g/cm^3 and
its molar mass = 27 g/mol. Assume that one conduction electrons is
supplied by each atom. Avogadro's constant is 6.023 x 10^23
atom/mole and e = 1.6 x 10^-19 C.

Calculate the average drift speed of electrons traveling through
a copper wire with a crosssectional area of 30 mm2 when carrying a
current of 30 A (values similar to those for the electric wire to
your study lamp). Assume one electron per atom of copper
contributes to the current. The atomic mass of copper is 63.5 g/mol
and its density is 8.93 g/cm3 . Avogadro’s number is 6.022 × 1023
and the fundamental charge is 1.602 × 10−19 C. Answer...

A cylindrical capacitor of length 1 cm, inner radius 0.010 cm,
and outer radius 0.015 cm is ﬁlled with water, which has dielectric
constant K = 80.10 at 20◦C. Assume the capacitor has been connected
to an ideal 6V battery for a long enough time for the system to
have reached equilibrium.
a). Find the surface charge densities in the water on both the
inner and outer surface. What is the ﬁeld ~ D as a function of r
inside...

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