Consider a classical gas of very weakly interacting molecules of different species. There are… 1 answer below »

Consider a classical gas of very weakly interacting molecules of different species. There are Ni molecules of species number i, i = 1, 2, …, m. The molecules of different species may have different masses and different internal degrees of freedom (such as vibrational or rotational modes), however you may assume that the molecules do not interact with each other. The molecules of a given species are indistinguishable from each other. (a) Show that the canonical partition function for the gas has the form Q = Q(1)Q(2)….Q(m)

where Q(i) = [Q 1 (i)]NiiNi !

and Q1(i) is the single particle partition function for molecules of species i. (b) Using the result in (a), show that the total pressure of the gas is the sum of the pressures that each of the species of molecule would have on its own (total pressure is the sum of the “partial pressures”). Similarly show that the total entropy of the gas is the sum of the entropies that each species would have on its own. (c) By taking the appropriate derivative of the total Helmholtz free energy of the gas, compute the chemical potential Ili of species i. Express your answer in terms of Q1(i). (d) Assume that the molecules are free (i.e. not in any external potential, except for their confinement to a box of volume V). Show that WO can be written as WO = Vcii(i)(T) where T(i) depends only on temperature T.

Attachments:

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

What are some of your views on rationalism versus empiricism? Some main points of interest, why each

What are some of your views on rationalism versus empiricism? Some main points of interest, why each point is interesting How would you summarize it? Is it considered congruent or incongruent information and why?

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

A harmonic wave with a frequency of 80Hz and an amplitude of 0.025m travels along a string to the…

A harmonic wave with a frequency of 80Hz and an amplitude of 0.025m travels along a string to the right with a speed of 12m/s.

a) Write a suitable wave function for this wave.

b) Find the maximum speed of a point on the string.

c) Find the maximum acceleration of a point on the string.

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

What are some of the major ethical issues faced by the business industry in general? What are some o

What are some of the major ethical issues faced by the business industry in general? What are some of the ethical issues faced by the organizations themselves? Provide examples of the issues and discuss how organizations are addressing them

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

ACC 230 CHECKPOINT DIFFERENTIATING DEPRECIATION METHODS

ACC 230 CHECKPOINT DIFFERENTIATING DEPRECIATION METHODS

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

1. Salem Corporation uses the calendar year as its financial and tax annual accounting period….

1. Salem Corporation uses the calendar year as its financial and tax annual accounting period. Management, because of the seasonality of sales, wants to change to a fiscal year beginning April 1st through March 31st. You have been asked to review the tax law criteria for making this change. Write a memo (750-1,000) to your CFO indicating the outcome of such a change on current taxes and outlining the requirements for making this change.

2. Salem realizes the importance of being a good corporate citizen and makes general contributions to worldwide charitable organizations. For 2009, Salem wants to contribute $1,500,000 to various charities. Based on 2008 tax laws, if Salem’s taxable income before charitable contributions is $11,500,000 in 2009, calculate the charitable contribution allowance for 2009. Provide a recommendation (500-750 word memo) to Salem management regarding tax implications of this contribution.

3. Corporate ethics and fraud have received much media attention through reporting of scandals at major corporations. Salem wants to make sure that its financial reporting and tax reporting responsibility is of the highest ethical standards. So that you understand the types of ethical misconducts that corporations are subject to and the penalties that can be given when uncovered, use the Internet to research and find the following: • Ethical standards for corporations • Recent changes to financial and reporting laws • Cases where corporations have committed unethical business practices and the resulting consequences The final write-up should be approximately 750-1000 words. Make sure to mention the SOX act and perhaps the IMA ethical code of standards.

Attachments
taxition assignment.doc

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

provide the name of 5 countries that were colonies of britain and identify what britain materially g

provide the name of 5 countries that were colonies of britain and identify what britain materially gained from them.

 

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

From the scenario for Katrina’s Candies, determine the relevant costs for the expansion decision, an

From the scenario for Katrina’s Candies, determine the relevant costs for the expansion decision, and distinguish between the short run and the long run costs. Recommend the key decision-making criteria that Katrina’s Candies should use for expansion decisions in the short run and in the long run. Determine under what conditions, a company should or should not continue to produce the good or service.

    • Posted: 4 years ago
    • Due: 30/01/2016
    • Budget: $3
     

    "Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

    The three stages of the stress response or general adaptation syndrome, in order of occurrence,…

    The three stages of the stress response or general adaptation syndrome, in order of occurrence, are_______ ,_________ , and _______________.
     

    "Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"