For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur- Tetrode equation for the entropy S V 5 = log + NkB NX3 2 th to derive expressions for the pressure and internal energy in terms of the temperature T and volume V. [You may use that X2 = 3πh² N/(mE).] th
Q: a) Five 8.0- uF capacitors are connected in parallel. What is the equivalent capacitance? b) What is…
A: Given data :Capacitance of each capacitor, C = 8.0 μFNumber of capacitor = 5 Solution :Part (a) :…
Q: (III) (a) Determine the currents I₁, 12, and I3 in Fig. 19–61. Assume the internal resistance of…
A: Step 1: Step 2: Step 3: Step 4:
Q: To excite an electron in a one-dimensional box from its first excited state to its second excited…
A:
Q: What is the wavelength shift (delta) (h) of a exoplanetery system at a wavelength of X angstroms if…
A: Recall that the wavelength shift Δλ of the exoplanetary system is expressed as…
Q: Write down an expression for the end correction of a pipe of length L closed at one end if its 3rd…
A: In acoustics, end correction is the extension of the effective length of a resonating tube or pipe…
Q: Please include the Free body diagram. Don't copy from othersite ,I need detailed explanation.
A: Step 1: Identify the forces acting on the bracket:Weight of the load (W) acting downwardsNormal…
Q: Solve ASPA with out using chatgpt
A: The problem is asking for the intensity of the emitted radiation from a radiating body with a…
Q: What is the focal length of a makeup mirror that produces a magnification of 1.5 when a person's…
A: Step 1:a) Set up the table for the known quantitiesObject distance, do=-12.2 cmMagnification of the…
Q: Show all solutions in this order: data, equation (basic or derived), substitution/computation, and…
A:
Q: Which of the following statements is true, if the upper half of the lens is covered? Assume that the…
A: Convex lens or converging lens is ues to focus the rays that are coming from the object. If we take…
Q: Answer in 90 minutes please if possible. Count double the questions if necessary.
A: a) Entropy in Statistical Physics In statistical physics, entropy is a measure of the number of…
Q: The positive charge of a dipole with the dipole moment D~ = q ~d is located at the origin of…
A:
Q: Calculate the velocity of an apple at the moment it hits the ground falling from a tree from a…
A: In this problem, we know the height h from which the apple falls, which is 2.9 meters. We also know…
Q: A current I is passed through a wire. A second wire of length L is moving perpendicular to the…
A: Given:The current in the first wire, IThe length of the second wire, LThe distance between the…
Q: Homework 13, Problem 6
A: Approach to solving the question:Please see attached photos for the detailed solutions. Thank you.…
Q: A 6.8 μF parallel plate capacitor has 160 μC of charge on its plates. If the plates are 2 mm apart,…
A: Step 1:Given informationd=2 mmQ=160μCC=6.8μFStep 2:First we will find the electric potential…
Q: Q9. In Figure given below the four particles form a square of edge length a = 5.00 cm and have…
A: Part 2: ExplanationStep 1: Identify the configuration and distancesThe particles form a square with…
Q: A helicopter has a speed in calm air of 170 kmh-¹ and it's travelling on a bearing of 120° relative…
A: Step 1: Step 2: Step 3: Step 4:
Q: Show all solutions in this order: data, equation (basic or derived), substitution/computation, and…
A: Step 1:Step 2:Step 3:Step 4: Answer: So, the magnetic field strength created at the center of the…
Q: Write down an expression for the acceleration of a satellite of mass m in a circular orbit of radius…
A: The force that keeps the satellite in its circular orbit is the gravitational force between the…
Q: 1.53 A particle with charge q=3 μC and mass 0.015 kg is tied to a non- conductive thread of length L…
A: This situation is quite similar like a simple pendulum:The final displacement of the charged…
Q: The pendulum in the figure consists of a uniform disk with radius r = 10.0 cm and mass 560 g…
A: Step 1:Given r = 10cm = 0.1mM = 560g = 0.56kgL =390mm = 0.39mm = 270g = 0.27kgStep 2:a) Finding the…
Q: Choice given,choose the right one. Solve both parts in Handwritten format including free body…
A: Step 1:Step 2:
Q: Questions 5 and 6 refer to the diagram below. m A box of mass m is being pushed up a ramp by a force…
A: Step 1:Step 2:Step 3:Acceleration a: Divide through by m:a=2g−gsinθ−μkgcosθ Factor out…
Q: None
A: The problem involves a coaxial cable with different regions, each having a different current density…
Q: If the pendulum in this building took 6.5 seconds to complete one swing (period = 6.5 seconds), what…
A: Approach to solving the question:Please see attached photos for the detailed solutions. Thank you.…
Q: If the area of surfaces is decreased by 40 % and thrust is increased by 60% then find the ratio of…
A: To find the ratio of the new pressure to the old pressure when the area of the surfaces is decreased…
Q: Calculate period of a satellite of mass m= 1 t (tonne) moving in a circular orbit of height h = 589…
A: Step 1:step 2
Q: Write down an expression for the angle of the first minimum of diffraction of light of wavelength by…
A: Diffraction refers to the bending of light as it passes around the edge of an object. The amount of…
Q: Only Handwritten solutions are allowed
A: Step 1: Step 2: Step 3: Step 4:
Q: For the two vectors in the figure below (from the textbook), A× B points B up down left right into…
A: AxB = |A||B|sinθA and B perpendicular. So, θ = 90°=> AxB = |A||B|a points along the x-axis…
Q: Calculate the electric field at height h above the center of a square plate of size 2a×2a with…
A:
Q: A swimmer bounces almost straight up from a diving board and falls vertically feet first into a…
A: Step 1:Given Information :Height =1.55 mInitial speed =3.6 m/sa) Time for which swimmer's feet is…
Q: Solve using conservation of E. A 30.0 kg block slides 8.00 m down a ramp with a height of 4.50 m.…
A: Please see the attached images for the solution. If there are queries or if the images are not…
Q: bcps.schoology.com/common-assessment-delivery/start/7268492952?action=onresume&submissionId=14049468…
A: Step 1:The mass of the 1st object is m1=10kgThe mass of the 2nd object is m2=5kgThe speed of each…
Q: In a game of basketball, a forward makes a bounce pass to the center. The ballis thrown with an…
A: Solution:-Step 1: Step 2:
Q: By considering how the total entropy changes at fixed temperature, show that particles will flowfrom…
A:
Q: Answer in 90 minutes please.
A: Thermodynamic Equations of State from Helmholtz Free Energy The Helmholtz free energy F is defined…
Q: Mike holds a magnifying glass (convex lens) 5.00 cm above a sheet of paper. He looks at the writing…
A: In this problem, we are given that Mike is using a magnifying glass (convex lens) to magnify the…
Q: The figure shows the wave function of an electron trapped in a well of infinite potential. The…
A: To find the width of the potential well, first, convert the given energy of the electron from…
Q: An ac source having a maximum voltage output of 45.2 V is connected in series with a 200-kΩ…
A: Step 1: The resonance frequency can be calculated using the formula is given by,…
Q: A velocity selector is a device that can choose the velocity of a charged particle moving through a…
A: In this problem, we are asked to find the electric potential difference that would allow protons to…
Q: What is the wavelength of the electromagnetic wave emitted by the oscillator-antenna system of the…
A: An LC oscillator is a type of oscillator where a LC (inductor-capacitor) circuit is used for…
Q: Please please please answer only part c
A: Step 1:Step 2:According to ray diagram the light source is coherent produces a wavefront who…
Q: solve and explain each step
A: Step 1:Step 2: Step 3: Step 4:
Q: I need help on question 7?
A: The magnetic flux through a surface is defined as the magnetic field times the area of the surface…
Q: None
A: Step 1: Analyzing the Force Direction:Examine the potential energy curve provided in the figure.…
Q: (#442920) {Refraction} A narrow beam of ultrasound waves reflects off a liver tumor as illustrated.…
A: Step 1:Step 2: ( If you have any queries please feel free to ask me).
Q: A body of 1 kg carries a speed of = 40i. It is fragmented into Two pieces. If one, of 0.6 kg comes…
A: Step 1: Step 2: Step 3:
Q: A gold engagement ring has an inner diameter of 1.5 × 10−2 m and a temperature of 27 °C. The ring…
A:
Answer in 90 minutes please.
![For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur-
Tetrode equation for the entropy
S
V
5
= log
+
NkB
NX3
2
th
to derive expressions for the pressure and internal energy in terms of the temperature T and
volume V.
[You may use that X2 = 3πh² N/(mE).]
th](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb360a251-a88e-4e24-b6e1-ceeebc35a45e%2F7bb6b8e9-3ca6-4690-8714-a13363404695%2F4lo2ch_processed.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps with 1 images
- A dilute gas expands quasi-statically to three times its initial volume. Is the final gas pressure greater for an isothermal or an adiabatic expansion? Does your answer depend on whether the gas is monatomic, diatomic, or polyatomic?Write the mathematical relationships for each of the following Conclude the thermodynamic properties (parameters) of ideal gas same as ( energy , prussure, entropy , specific heat at fixed prussure , specific heat at fixed volume ) e 12:31 VProblem 1: In statistical mechanics, the internal energy of an ideal gas is given by: N. aNkB 2/3 (3NKB U = U(S,V) = е where a is a constant. 1- Show that the variation of the internal energy is given by: 2 dS - \3V 2 dU = dV \3NkB 2- Using the fundamental relation of thermodynamic dU = T.ds – p. dV, show that the equation of state PV = nRT follows from the first expression of U.
- For one component gas that is confined in a box with volume V. We can get the entropy of the gas as S= Nk, in- where N is the total a² number of atoms, a is the radius of the atom. Can you guess how it is obtained?a. Find an appropriate expression for the change in entropy in the following two cases: 1) S=S(T, V) 2) s= S(T, P) Where: S is entropy, T is temperature, V is volume, P is pressure b. Prove the following two themodynamie property relationships (똥),-() 8C, Where: T, P. V are temperature, pressure and volume, respectively. C, and C, are specific heats at constant volume and constant pressure, respectively.Problem #2 For heat exchange between a thermal reservoir at 300 K and a constant volume system containing one mole of monatomic ideal gas: a) Derive the equation for the total change in entropy for a designed initial system temperature Tj. b) Plot AStotal vs. Tsys for the initial system temperature ranging from 160 K to 500 K in increments of 10 K (i.e., Tsys = 160 K, 170 K, ... , 500 K). Use Matlab, Excel or similar plotting software for your plot. Label the plot axes and include units. %D
- En: The latent heat of vaporization of water at 100 °C is 40.6 kJ mol-1and when 1 mol of water is vaporized at 100 °C and 1 atm pressure, the volume increase is 30.19 dm3. Calculate the work done by the system, the change in internal energy AU, the change in Gibbs' energy AG and the entropy change AS.-Consider a lassi cal ideal gas Consisting of N atoms of mass M in thermal bniem at anprete T, miving in a equile 3 dimensional 4bnum harmonic potenhal Well. mutr? 2 2. v(r)s a. Cal culate The par n'tion funchm of The system. b.Compute the average energy of the Sy stem C. Comprute The entropy of the system,dU =T dS – P dV Re-arrange the thermodynamic identity by solving for dS. Assume we are applying this new expression to an ideal gas, re-write the du term in terms of the appropriate heat capacity and temperature. Re-write the coefficient of the dV term in terms of volume. Connect these “classical" expressions for entropy to the "modern" interpretation where we are concerned with the uncertainty associated with position and momentum of the particles in an ideal gas. Answer with sentences. Now, re-write the expression in terms of enthalpy so you can connect entropy with enthalpy. Expalin why this final expression makes sense.
- Problem 3: Consider an Einstein solid with N oscillators and total energy U = qe, in the limit N,q » 1 (with no assumptions made about the relative size of N and q). + N° (9 +N\9 a) Starting with this formula, find an expression for the entropy of an Einstein solid as a function of N and q. Explain why factors omitted from the formula have no effect on the entropy. b) Derive an expression for the temperature of the solid, as a function of N and q. Simplify your expression as a much as possible. c) Invert the result of part (c) to get the energy U as a function of temperature T. As always, simplify the final result as much as possible. d) Show that, in the high temperature limit (q » N), the heat capacity is C = Nkg. (Hint: when x is small, e* = 1+ x.) Is this the result you would expect? Explain. e) Plot energy U vs. temperature T using dimensionless variables, Cy/(Nkg) vs. t = kgT/e, for t in the range from 0 to 2. Discuss your prediction for the heat capacity at low temperature…Entropy (s) is aun extensive variable . & S(U,V,N) Uo Internal Energy V→ Volume Number of particles find an Euler equation For entropeConsider a van der hoal's gas tuat undergoes an 1sothermai expansion focm Volume V, to Volume Uz 9 Caiculate the Change in the Helmholte free energy b) trom the theory GF thermodynamics, with I and V Independent, = T3)-p. Shaw that the Change In Internal energyis AUEa )