Show that for a system in the grand canonical ensemble [ {overline{(N E)}-bar{N} bar{E}}=left(frac{partial U}{partial N}ight)_{T, V}
Question:
Show that for a system in the grand canonical ensemble
\[
\{\overline{(N E)}-\bar{N} \bar{E}\}=\left(\frac{\partial U}{\partial N}ight)_{T, V} \overline{(\Delta N)^{2}}
\]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
From eqn 451 we get leftfracpartial barNpartial betaightalpha VoverlineN EbarN ...View the full answer
Answered By
Daniel Kimutai
I am a competent academic expert who delivers excellent writing content from various subjects that pertain to academics. It includes Electronics engineering, History, Economics, Government, Management, IT, Religion, English, Psychology, Sociology, among others. By using Grammarly and Turnitin tools, I make sure that the writing content is original and delivered in time. For seven years, I have worked as a freelance writer, and many scholars have achieved their career dreams through my assistance.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Find f(x) = a(x - h) 2 + k so that f models the data exactly. x-2 2 A -1 0 2 1 -4-14 2
-
The probability that a system in the grand canonical ensemble has exactly \(N\) particles is given by \[ p(N)=\frac{z^{N} Q_{N}(V, T)}{\mathcal{Q}(z, V, T)} \] Verify this statement and show that in...
-
Prepare adjusting journal entries, as needed, considering the account balances excerpted from the unadjusted trial balance and the adjustment data. A. depreciation on buildings and equipment, $17,500...
-
An iron bar can be easily magnetized by aligning it with the magnetic field lines of Earth and striking it lightly a few times with a hammer. This works best if the bar is tilted down to match the...
-
Evaluate the limit and justify each step by 2r? + 1 3. lim (3x + 2.x x + 1) 4. lim -2 * + 6.r --2 5. lim (x - 4)(x' + 5x - 1) 6. lim (f + 1)'(t + 3) 1+ 3x I+ 4x2 + 31 7. lim 8. lim Vut + 3u + 6 --2...
-
In 2014, Air Asia Flight No. 8501 crashed in the Java Sea while flying from Indonesia to Singapore. The crash resulted in the deaths of all passengers and crew on board. The plane involved in the...
-
The following were selected from among the transactions completed during the current year by Danix Co., an appliance wholesale company: Jan. 21. Sold merchandise on account to Black Tie Co., $28,000....
-
3. Design NAND-NAND implementation for following functions: a) F1(x, y, z) = (x + y + z)(x' + y' + z') b) F2(x, y) = xy + x'y
-
Define a quantity \(J\) as \[ J=E-N \mu=T S-P V \] Show that for a system in the grand canonical ensemble \[ \overline{(\Delta J)^{2}}=k T^{2} C_{V}+\left\{\left(\frac{\partial U}{\partial...
-
Study the state of equilibrium between a gaseous phase and an adsorbed phase in a singlecomponent system. Show that the pressure in the gaseous phase is given by the Langmuir equation \[...
-
Explain the relationship between a firm's short-run production function and its short-run cost function. Focus on the marginal product of an input and the marginal cost of production.
-
Why are global value chains so important to emerging markets and their development? Select two GVCs, and discuss to what extent emerging market firms and governments can respond to the opportunities...
-
What role, if any, can the government or even the private sector play in correcting the positive externality of vaccination against contagious diseases include intext citations: The private sector...
-
Suppose that demand for railroad travel is low (and expected to stay low for many years) so that companies that invested in buying passenger railroad cars cannot pay the interest on their debt but...
-
What is one drawback of the difference in wealth among the states? a. Taxable resources differ, leading to more or less money for government programs. b. The housing market in some states is better...
-
Suppose a state has adopted a minimum wage requirement of $18 per hour with the goal of improving the lives of those working low-skilled jobs. After a few years of this minimum wage increase, the...
-
The force on a wire carrying 8.75 A is maximum of 1.28N when placed between the pole faces of a magnetic the pole faces are 55.5cm in diameter, what is the approximate strength of the magnetic field?
-
The executor of Gina Purcells estate has recorded the following information: Assets discovered at death (at fair value): Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
-
Find the residual gauge freedom in the Coulomb gauge.
-
Show that the Coulomb gauge \(abla \cdot \mathbf{A}=0\) is a consistent gauge condition.
-
Consider the oscillating Paul trap potential \[U(z, ho)=\frac{U_{0}+U_{1} \cos \Omega t}{ho_{0}^{2}+2 z_{0}^{2}}\left(2 z^{2}+\left(ho_{0}^{2}-ho^{2} ight) ight)\] written in cylindrical coordinates....
-
A manufacturer must produce large plane capacitors whose dielectric is mica (&r=7.5) and whose capacitance must be 0.47F. They must be able to withstand a voltage of 6kV while the maximum field that...
-
After your succesful experiment building a mass spectrometer, you decide to build a nitrogen laser. YouTube vidoes suggest that all you need is a few sheets of polished aluminum, some power supplies,...
-
(6%) Problem 9: An inclined plane, at angle 0=22.9 with the horizontal, is constructed on a bench. A block, with mass m =2.97 kg. is placed on the inclined plane, and it is attached to an ideal,...
Study smarter with the SolutionInn App