Question: Consider a system at temperature , with N atoms of mass M in volume. Let (0) denote the value of the chemical potential at the

Consider a system at temperature τ, with N atoms of mass M in volume. Let μ(0) denote the value of the chemical potential at the surface of the earth
(a) Prove carefully and honestly that the value of the total chemical potential for the identical system when translated to altitude h is

μ(h) = μ(0) + Mgh

Where g is the acceleration of gravity.
(b) Why is this result different from that applicable to the barometric equation of an isothermal atmosphere?

Step by Step Solution

★★★★★

3.43 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Moving the system to a height h without a change in the state of the system otherwise a... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

42-P-S-S-T-T (50).docx

120 KBs Word File

Students Have Also Explored These Related Solid State Questions!

The bar of mass m in Figure P31.66 is pulled horizontally across parallel rails by a mass less string that passes over an ideal pulley and is attached to a suspended object of mass M. The uniform...

A child swings a rock of mass m in a horizontal circle using a rope of length L. The rock moves at constant speed v. (a) Ignoring gravity, find the tension in the rope. (b) Now include gravity (the...

The wave function of a particle of mass m in a unidimensional potential field U (x) = kx2/2 has in the ground state the form (x) = Ae ax2, where A is a normalization factor and a is a positive...

watch the three short clips below then answer the questions Copy and paste the three links below 1) Projectile Motion https://www.nsf.govews/mmg/mmg_disp.jsp?med_id=72205&from= 2) Newton's Second Law...

If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the difference between the sample estimate and the actual market share for...

Consider a system made up of two atoms of masses m1 and mg. The vibrations of this system can be described by a one-dimensional Schrodinger equation for a system of reduced mass [1, evolving in a...

ATTEMPT IS YOU ARE SURE OF YOUR QUESTIONS KINDLY A.1 A cup containing 0.5 kg of water at 50C is left to cool to the temperature of its surroundings: 15C. Is this a reversible process? [1] What is the...

1. In your Excel spreadsheet, create a sheet entitled "8 Atoms". In this sheet, you will create sections labeled according to the heading 2 labels on the Canvas page you are creating and then make...

SURE answers C.3 Consider a gas of photons confined to a two-dimensional cavity of typical size L. The allowed frequencies of the standing waves in the cavity are given by = c 2L q n2 x + n2 y ,...

An automobile manufacturer is interested in the fuel efficiency of a proposed new car design. Six nonprofessional drivers were selected, and each one drove a prototype of the new car from Phoenix to...

5 1. Find the domain and the range of each relation and determine whether each relation (graph) is a function or not. (a) (b) N 2. 0 -5 If g(x)=4x - 6x+3, and f(n)=5r 7 evaluate the following 0 -4- 5

Write simultaneous Laplace - transformed differential equations for the rotational mechanical networks of Figure PI . 1 5 . All the initial conditions are zero. ( Note that, you should solve the...

A group of 44 people was randomized into two equal-sized groups (22 in each). The treatment group ate lunch while playing a video game, and the control group ate lunch without any added distractions....

explain how new technology can help managers in making decisions, and in what way?

13. Suppose that the numbers an are defined inductively by a1 = 1, a2 = 2, az = 3, and an = an-1 + an-2 + an-3 for alln > 4. Use the Second Principle of Finite Induction to show that an

Q.1 Complete the sentences with the correct form of the verbs in brackets. (5 marks) 1- He hopes he -- a car. (buy) 2- She wishes she ----- smart. (be). 3-I hope - a professional doctor when I grow...

For an organization you know well, use the matrix set out in Figure 4.8 to consider the appropriate organizational strategies for achieving change in the three conditions of high risk in the need for...

If an objects average velocity is nonzero over some time interval, does this mean that its instantaneous velocity is never zero during the interval? Explain your answer.

If an objects average velocity is zero over some time interval, show that its instantaneous velocity must be zero at some time during the interval. It may be useful in your proof to sketch a graph of...

If the velocity of a particle is nonzero, can its acceleration be zero? Explain.

Two friends consider opening a driving range for golfers. They estimate such a range could generate rentals of 20,000 buckets at $3 a bucket in the first year, and expect rentals to grow at 750...

Suppose we have the following Treasury bill returns and inflation rates over an eight year period: Year Treasury Bills Inflation 1 11.47% 14.07% 2 12.41 17.11 3 10.08 11.34 4 9.33 8.93 5 9.90 11.34 6...

We can also represent a mathematical expression such as ((7+3)(52))((7+3)(52)) as a parse tree. Please create the parse tree