Thermodynamics and Statistical Mechanics
problem:
Write the formula for the partition function Z of an electron...
Thermodynamics and Statistical Mechanics
problem:
Write the formula for the partition function Z of an electron in
a hydrogen atom. If the sum is finite, to what value does it
converge? If the sum is infinite, prove it
Thermodynamics and Statistical Mechanics
problem:
(a) Derive the Maxwell speed distributions in
one and two dimensions.
(b) What is most likely speed in each case?
(c) What is average speed in each case?
(d) What is root-mean-square speed in each
case?
Thermodynamics and Statistical Mechanics
Problem:
You have just microwaved a cup of tea for too long and it is
boiling, too hot to drink. You look around and see a punchbowl
containing ice floating in water. You thoroughly mix one cup of
water (no ice) from the punchbowl with your cup of tea in a thermos
bottle. What is the change in entropy of the pint of liquid? Does
the sign of the change make sense? Explain.
Thermodynamics and Statistical Mechanics
problem:
A system comprises three distinguishable marbles (red, white,
and blue) each of mass m which may be found on any step of a
staircase whose steps are a distance h apart, the energy is not
specified but the temperature is.
(a) What kind of ensemble is this?
(b) What temperature T of a heat bath will maximize the
probability of finding all three marbles on the first step above
ground level?
(c) What is this...
Thermodynamics and Statistical Mechanics
problem:
n regard to the Maxwell speed distribution, you might wonder why
all the molecules in a gas in thermal equilibrium don’t have
exactly the same speed. After all, when two molecules collide,
doesn’t the faster one always lose energy and the slower one always
gain energy? And if so, wouldn’t repeated collisions eventually
bring all the molecules to some common speed? Describe an example
of an elastic billiard ball collision in which this is not...
Task1: Ternary Partition
Write a function ternary partition(lst) that partitions an
unsorted list into three sections: smaller than pivot, equal to
pivot, larger than pivot.
Input: an unsorted list containing one or more integers.
Output: a pair of integers, where the first integer is the index
of the final position of the pivot, and the second integer is the
index of the first element that is larger than the pivot. The pivot
should be the element in the 0th position...
write the definition and the formula for each
statment
9. HEAT:
heat and laws of thermodynamics;? methods for temperature
measurement;? internal energy;?
effects of heat;?
energy requirement of people;? thermoregulation;?
heat transfer;?
convection;?
radiation;?
evaporation;?
heat application in medicine ?
Statistical Mechanics Problem Counting Configurations ?
A certain protein molecule consists of a one-dimensional chain
of six molecular sub-units, or monomers. Each monomer can take a
short or a long structural form, with lengths L and 2L,
respectively, but with the same energy in each case. A particular
configuration of the protein with total length 8L is il- lustrated
below, with a short monomer represented using a dot and a long
monomer represented as a dash.
How many configurations of...
1b) Suppose z is any positive even integer. Write a formula in
terms of z that gives the total number of palindromes of length z
using characters from a set that contains 40 different symbols. A
palindrome is a string of characters that are the same from left to
right and right to left.
1c) Suppose z is any positive odd integer. Write a formula in
terms of z that gives the total number of palindromes of length z
using...