Show by derivatives that two phases are in thermal equilibrium
only if their temperatures are the...
Show by derivatives that two phases are in thermal equilibrium
only if their temperatures are the same. Show that two phases are
in mechanical equilibrium only if their pressures are
equal.
Two objects, A and B, at initial temperatures TA and TB are
placed into thermal contact. If TA > TB, cA > cB, and mA >
mB, why is the equilibrium temperature of both objects closer to TA
than TB?
a) Less heat flows out of object A than flows into object B, and
so TA changes less than TB changes
b) The same amount of heat flows out of A as flows into B, but
it takes more heat...
The thermal decomposition of NO2 gas at elevated
temperatures occurs according to the following reaction:
2 NO2 (g) → 2 NO (g)+O2 (g)
Experimental data for this reaction at 330°C are listed in the
table: Concentration of NO2 as a Function of Time at
330°C
Time (s)
[NO2] (M)
0
1.00 × 10−2
60
6.83 × 10−3
120
5.18 × 10−3
180
4.18 × 10−3
240
3.50 × 10−3
300
3.01 × 10−3
360
2.64 × 10−3
Prepare and turn...
Consider a system of particles in a volume V and in
equilibrium with a thermal bath at temperature T.
a) What is the assembly that represents the statistical properties
of the system? Give the name of the assembly and define it.
b) If the microstates of the system are classically described by
the ϕ phases in the Γ space. What is the
probability density p(ϕ) of finding the system in the microstate
phi?
c) Write the appropriate partition function to...
This program is broken down into phases for your convenience
only. Please turn in only the final phase. Before turning in your
program, please make sure that it does something reasonable if the
user enters a negative number the first time.
Phase I: Write a program for a theater that
will keep track of how many people in each of 5 age categories
attended a particular movie. Use the 5 age categories listed below
in the sample screen output. The...
Explain why derivatives are, as Partnoy says, "a horror show."
How can we make derivatives less dangerous and frightening? Or
should they be abolished altogether?
A solid surface is in diffusive and thermal equilibrium with a
monatomic ideal gas at temperature t and chemical potential μ. An
adsorption site on the solid surface can be either empty (energy ε0
= 0), singly occupied (ε1 = ε), or doubly occupied (ε2 = 2ε) by an
atom from the gas. If two atoms adsorb onto the same site, they
also interact by a vibrational mode of frequency w. Thus, the
energy of a doubly occupied site can...
A solid surface is in diffusive and thermal equilibrium with a
monatomic ideal gas at temperature t and chemical potential μ. An
adsorption site on the solid surface can be either empty (energy ε0
= 0), singly occupied (ε1 = ε), or doubly occupied (ε2 = 2ε) by an
atom from the gas. If two atoms adsorb onto the same site, they
also interact by a vibrational mode of frequency w. Thus, the
energy of a doubly occupied site can...