Starting with the multiplicity expression for an Einstein solid
in the limit ? ≫ ?, i.e.,...
Starting with the multiplicity expression for an Einstein solid
in the limit ? ≫ ?, i.e., Ω ≈ -./10, and the expression ? = ??
where ? is the smallest discrete energy unit, derive the energy U
as a function of temperature.
Consider a case in which we have an Einstein solid that is
neither at high or low temperature. In this case, we cannot use
either the N>>q or q>>N approximation. In this case
both N and q are >> 1. Derive an expression for the chemical
potential then discuss how this more general result differs from
and/or could correlate to the low and high temperature cases.
Thermodynamics
einstein model take that in solid state, there are 3N normal
mode vibration that all have the same mode frequency of ω0. the
density of states σ(ω) for this model is
σ(ω) = δ(ω − ω0) .
a. with the given information, and by neglecting the zero point
energy, calculate the total energy and the heat capacity Cv in this
solid state model.
b. when the temperture is high, show that Cv → 3N kB. this value
is often called...
1) finding the volume of solid whose upper limit is the surface
f (x, y) = 4xe^y and which lower limit is the region r. where r is
the triangle limited by y = 2x; y = 2; x = 0.
List the possible levels of gene expression
control in the typical embryo, i.e., from the DNA itself
to the final functional protein product. Explain, briefly, how each
step could be a control point for gene expression
answer key for all of the question below
A. Number expression (i.e., word of figure forms or symbols
B) punctuation other than commas or semicolon, hyphens,
apostrophes, periods and question marks).
C )Commas or semicolons
D) capitalization
Martha budgeted 750 dollars for books next semester.
Carmen is going to work but she will stop at the store on the
way home.
Is your sisters car in the parking lot?
Finals are scheduled to start on May 18th.
Tim said he...
Starting from the general expression of the Navier-Stokes
equations in cylindrical coordinates, provide the form of the
equations for an axisymmetric, steady flow. Explicitly write down
the continuity equation as well as the momentum equation in all
relevant directions in terms of partial derivatives. (Hint: How
much is uθ for this flow? Explain why. How much is ∂/∂θ ?
IMPORTANT NOTE: Please have the answer complete,
clear and computer generated!!