Question: Consider a system of N particles that has only two possible energy states, E 1 = 0 and E 2 = . The distribution function

Consider a system of N particles that has only two possible energy states, E1 = 0 and E2 = ∈. The distribution function is fi = Ce-Ei/kT.

(a) What is C for this case?

(b) Compute the average energy (E) and show that (E) → 0 as T → 0 and (E) → ∈/2 as T → ∞. 

(c) Show that the heat capacity is

2 Cy= x = N( 7) (1 + @ +/) Nk KT)

(d) Sketch CV versus T.

2 Cy= x = N( 7) (1 + @ +/) Nk KT) e/kr)

Step by Step Solution

★★★★★

3.55 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b c d N2n f ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Physics Questions!

Q:

Consider a system of two infinite queues in series, where each of the two service facilities has a single server. All service times are independent and have an exponential distribution, with a mean...

Q:

Consider a system of components in which there are five independent components, each of which possesses an operational probability of 0.92. The system does have a redundancy built in such that it...

Q:

Consider a system of three linear equations in three variables. Give examples of two reduced forms that are not row-equivalent if the system is (A) Consistent and dependent (B) Inconsistent

Q:

HW #8 (Fault Simulation) EE 623 1. Assume you have developed an efficient table-driven event-directed logic simulation system. Consider a fan-out free circuit C having n input lines, m output line, g...

Q:

Consider a system of distinguishable particles having only three no degenerate energy levels separated by an energy which is equal to the value of kTat 25.0 K. Calculate (a) The ratio of populations...

Q:

Consider a system that can be in one of two possible states, S={0,1}. In particular, suppose that the transition matrix is given by 1/2 1/2 Suppose the system in state 0 at time n= 0, L.e, Xo = 0....

Q:

1. Evaluate the grand-canonical partition function of a gas of indistinguishable, non-interacting relativistic particles contained in a volume V. (The relativistic dispersion relation (i.c. en- ergy)...

Q:

4. In the dilute limit, there are many more accessible states than particles. This implies that the average occupation n of any state should be very small. We call the distribution Mail-Jul in this...

Q:

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Q:

Consider a system of N distinguishable particles which can exist in 3 energy states, with energies: e, 0, +6 (an example of such a system could be N distinguishable spin 1 particles in a magnetic...

Q:

The sequence of a sampled signal is given as M = 9 1 2 3 3+0.2xM 4.8 Sample Sampled value/V 1.2 2+0.1xM = 2.9 If DPCM is used to encode the sampled sequence with 7-bit. (a) V and step size of the...

Q:

Last digit of registration number is 3. Q Die Superprslion Approach for the calculation of general solufion for the given differershind Equate. g- Sy'+Sy-y= (uz-6 Sinx) S xepresents et dijit of...

Q:

If a bond has a market price of $ 4 , 9 8 5 . 8 4 and a face value of $ 5 , 0 0 0 . 0 0 , it is described as a _ _ _ _ _ _ _ _ _ _ _ _ _ bond . discount premium vanilla par

Q:

If you select an individual stock from this population, what is the probability that it would have a return. a. Less than 0 (i.e., a loss)? b. Between -10 and -20? c. Greater than -5? If you selected...

Q:

Wild geese are known for their lack of manners. One goose is flying northward at a level altitude of = 30.0 m above a north-south highway, when it sees a car ahead in the distance moving in the...

Q:

You are at the mall on the top step of a down escalator when you lean over laterally to see your 1.80-m-tall physics professor on the bottom step of the adjacent up escalator. Unfortunately, the ice...

Q:

A basketball player practices shooting three-pointers from a distance of 7.50 m from the hoop, releasing the ball at a height of 2.00 m above the floor. A standard basketball hoops rim top is 3.05 m...

Q:

solve without using excel pls 13. Colgate-Palmolive Company has just paid an annual dividend of $1.76. Analysts are predicting dividends to grow by $0.12 per year over the next five years. After...

Q:

Find three banks that have retail branches in Los Angeles. For each, find the interest rate offered on a (1) regular savings account, (2) money market deposit account, (3) CD with a maturity of a...

Q:

In 2021, a standard 30-year fixed mortgage in the US could be had for somewhere around 3%. Following a series of interest rate increases by the Federal Reserve, today in Ocber 2022 that number is...