I was reading the *Statistical Physics An Introductory Course* by Daniel J.Amit and need some help to understand a certain passage:
In an isolated composite system of two paramagnetic system:
System a with ##N_a## spins and a magnetic field ##H_a ##
System b with ##N_b## spins and a...
Conceptually, why does infinitesimally changing a system allow for a process to be reversible. For example, if we heat a system at temperature T1 to T2 by using a heat reservoir at T2, it is considered irreversible, but if we heat the system with many reservoirs at temperatures T1+dT, T1+2dT...
Homework Statement
A metal rod of length length L, linear coefficient of expansion a, is fixed at both ends to the walls. When the temperature is increased byΔT, the rod bends into a circular arc due to thermal expansion.
2 Relevant equations
a)Find the radius of curvature R of the rod by...
Homework Statement
Homework Equations
dQ/dt = -kA(dT/dx)
The Attempt at a Solution
I tried to use Fourier's law of Conduction on this one. I subbed dT for (Θ0 - Θ1), and l(t) (function for thickness of ice against time) for dx, reason being that the sheet of ice should get thicker.
I then...
Homework Statement
Homework EquationsThe Attempt at a Solution
Part 1.1) I managed to find the energy needed to melt the ice, before using ΔU = Nf½KΔT to solve for the new temperature, which was correct
Part 1.2) Initially tried using ΔQ = mcΔT before realising that I didn't have the mass...
Homework Statement
What is the net heat flow of an aluminum disk (emissivity = 0.05) with radius
10 cm and temperature 293K placed inside a room where the temperature is 300K?
Asurface = π*r2 = 0.01π m2
Homework Equations
Hnet = A*e*σ(Tradiate4-Tabsorb4)
The Attempt at a Solution
By simply...
Hi guys,
From Boyles Law, we know that Volume is inversely proportional to Pressure give that the temperature is kept.
My question, if we decrease the volume, the pressure will increase due to rate of change of momentum ( we can say those two are proportional), then why can we not claim that...
Hello all,
I am a third year physics and math major at a quarter system public school. This year I've been getting pretty decent grades and achieved a 4.0 last quarter on 4 upper div math and physics classes. This quarter I am taking Topology II, EM Waves, Thermal Physics and a breadth class...
Homework Statement
Two identical bodies of constant heat capacity ##C_p## at temperatures ##T_1## and ##T_2## respectively are used as reservoirs for a heat engine. If the bodies remain at constant pressure, show that the amount of work obtainable is ##W = C_p (T_1 + T_2 − 2T_f)##, where...
Homework Statement
Body X whose temperature is 0 °C is brought into thermal contact with body Y of equal mass and temperature 100 °C. The only exchanges of heat that take place are between X and Y. The specific heat capacity of X is greater than that of Y. Which statement about the final...
Homework Statement
Hi,
I have an assignment to determine the specific heat capacity of water using a calorimeter, voltmeter and ammeter, where we connected the calorimeter to a 10V power pack and measured the temp of the water and the readings on the voltmeter and ammeter every minute. I ended...
Homework Statement
Exercise 4 in the upload titled Dok1.pdf.
Write down an expression for the canonical partition function for N ideal Na2 gas molecules, when the rotational contribution is treated classically, and all inner degrees of freedom are treated quantum mechanically. Use this and...
NO TEMPLATE---MISPLACED HOMEWORK
So it seems like a pretty simple question, and in all likelihood it is, but my lecturer somehow managed to miss this bit in his lecture notes.
A heat engine operates between 500K and 300K with 20% of the efficiency of Carnot engine operating between the same...
Homework Statement
In the kinetic model of an ideal gas, it is assumed that:
A. The forces between the gas and the container are zero
B. The intermolecular potential energy of the molecules of the gas is constant.
C. The kinetic energy of a given gas molecule is constant
D. The momentum of a...
Homework Statement
Experimental data for the heat capacity of N2 as a function of temperature are provided.
Estimate the frequency of vibration of the N2 molecule.
Homework Equations
Energy of harmonic oscillator = (n+1/2)ħω
C=7/2kB
Average molecular energy = C*T
But this is an expression...
This has been asked already, but it was either answered incorrectly or I'm just not understanding it right.
I was under the impression that albedo is the ratio of radiation reflected off a body compared to the total incident on that body. Hence black bodies have an albedo of 0 and more...
1. A sheet of rubber and a sheet of cardboard, each 2 mm thick, are pressed together and their outer faces are maintained respectively at 0 oC and 25 oC. If the thermal conductivities of rubber and cardboard are respectively 0.13 and 0.05 W m-1 K-1, find the quantity of heat which flows in one...
Homework Statement
IMPORTANT:There is an error in the statement.α and β are in C not K
2. Homework Equations
R=Ro(1 +αt+βt2)
The Attempt at a Solution
I really don't know what to do because if I isolate t in the equation it will give me the temperature on the ideal gas scale whereas the...
Homework Statement
Homework Equations
The Attempt at a Solution
The first part I'm not worried about, but the second part is worked out in the "relevant equations" section. Honestly, it looks like more magic than a Harry Potter movie going on there to me. I'm at a loss as to what...
I am registered for Thermal Physics for this year (my junior year). The online curriculum advises physics majors to take it fall of their senior year. (The class isn't offered in the spring.) I am taking 3 other physics classes as well. I felt inclined to take thermal this fall because I wanted...
Hi all, I am not sure if the is the right place to post the question being new to the forum, but I am looking for some help with a heat transfer experiment that I ran for my honours thesis.
Essentially the aim is to determine if warmed saline fluid bags taped to 3 different types of tree barks...
A rectangular (simplified) container with rigid surfaces, has a certain mass of ideal gas within it, and it accelerates in free space, undergoing rectilinear motion. There are no dissipative forces. Now, since the container moves, its kinetic energy increases, and since the temperature of the...
Homework Statement
The bulb of a constant volume gas thermometer is immersed in an ice/water/water vapour mixture at equilibrium and the recorded pressure is 0.400 atm. It is then immersed in a boiling liquid and the pressure is 0.844 atm. Sufficient gas is then removed from the bulb such that...
Homework Statement
An ideal monatomic gas is contained in a cubic container of size ##L^3##. When ##L## is halved by reversibly applying pressure, the root mean square ##x##-component of the velocity is doubled. Show that no heat enters of leaves the system.Homework Equations
##dU = dQ -pdV##...
Homework Statement
If the energy ##E## of a system behaves like ## E = \alpha |x|^n##, where ## n =1, 2, 3, \dots ## and ## \alpha > 0##, show that ## \langle E \rangle = \xi k_B T ##, where ##\xi## is a numerical constant.
Homework Equations
$$ \langle E \rangle = \frac{ \int_{- \infty}^{...
Homework Statement
Consider ##n## moles of gas, initially confined within a volume ##V## and held at temperature ##T##. The gas is expanded to a total volume ##\alpha V##, where ##\alpha## is a constant, by a reversible isothermal expansion. Assume that the gas obeys the van der Waals equation...
Hello I am trying to learn about the change of state between solids, liquids and gases but I don't understand exactly how it works. I've been reading material given by my school, but I got these two questions to ask because I can't answer them. These are not questions on the sheet they just...
Homework Statement
Show that the coefficient of volume expansion can be expressed as
β= -1÷ρ (∂ρ÷∂T) keeping P (pressure) constant
Where rho is the density
T is Temperature
Homework Equations
1/v =ρ
β= 1/v (∂v÷∂T) keeping P (pressure ) constant
The Attempt at a Solution
I started with...
Hi, my name is John and I am working on a textbook called Physics Syllabus Stage Six (PSSSix). I have done a draft of chapter 2, Thermal Physics. Although I have requested if this consultation is suitable for this forum, but yet been replied. This textbook
is free (online definitely) or...
Homework Statement
A water of mass 300g has been poured into a glass of mass 100g (of specific heat capacity 970Jkg-1°C-1) in a refrigerator. How much energy must be removed to cool the liquid and the glass from 30°C to 7°C?
Homework Equations
c = Q/mΔT
The Attempt at a Solution
mwater =...
Homework Statement
For the example that two spin systems in thermal contact and attain equilibrium, the product of the original multiplicity function will be the new total multiplicity function, Now, we want to find the probability of the system to be slightly deviated from the equilibrium...
This is not a homework problem but rather a passage from my textbook that I don't understand. I don't think I quite understand the concept of reversible processes. Here is the passage from my book:
"Consider a system in the quantum state s of energy Es. We assume Es to be a function of the...
Homework Statement
This is not a homework problem but rather a passage from my textbook that I don't understand. I don't think I quite understand the concept of reversible processes. Here is the passage from my book:
"Consider a system in the quantum state s of energy Es. We assume Es to be a...
Hi,
I'm facing a slight problem with getting a good version of the Schroeder: Introduction to thermal physics.
According to my lecturer the newest 2013 international edition by Pearson (ISBN: 9781292026213) is not recommended, as it lacks some aspects. And anyway the course is built around the...
Hi again,
I'm looking for a book to self study thermal physics/statistical mechanics. I would like one with an abundance of worked examples and problems with solutions as well. I've browsed through a few other threads and found these were the general "good" books deemed by the community...
Lens & Disk
The image of the sun is projected on the disk using a lens of radius r<<d and focal length f<<d (d is the distance between the sun and the disk.. The magnification of the lens is M`f/d, so that the image completely fills the disk R`=MR. When the disk reaches thermal equilibrium...
I'm doing Thermal conductivity and I'm kinda confused on something wrt to the temperature gradient...why is it that ΔΘ in the first case the smaller value minus the larger but in the second example it's the larger minus the smaller?
Homework Statement
There is a box of volume V that is divided into two equal parts: Left side = V/2 = right side.
The problem is:
Assume that there are n = (Na/2) + k particles in the left hand partition where k is a small integer ( k << Na). Show that the behavior near the maximum where n...
Homework Statement
When the temperature of liquid mercury increases by one degree Celsius (or one kelvin), its volume increases by one part in 550,000. The fractional increase in volume per unit change in temperature (when the pressure is held fixed) is called the thermal expansion coefficient...
Greetings all,
My first post here on this forum. I'm currently revising for exams and have got stuck on a question where I'm not sure where I'm going wrong...Question:
1g of iron filings at 500 °C are inserted into a sealed 20 litre vessel containing 1 mol of an ideal monatomic gas at a...
Afternoon all.
I've have the following equations:
Cp - Cv = nR = Nkb
Cv = nRf / 2
Cp = nR(2+f) / 2
CvlnT = -nRlnV + const
where f is degrees of freedom
Do the Cp and Cv just stand for pressure and volume (where both are constant), so for example can the first equation only...
Ok so I found something online but I need to understand this problem
Prove that the ratio of the adiabatic compressibilty ks to the isothermal compressibility kr is equal to the ratio of the specific heat at constant colume, Cv, to that at constant pressure, Cp
Definitions of the...
[b]1. Find an expression that relates T and V in a process in which the entropy S is constant, by doing the following:
a) From thermodynamic identity dS=(1/t)dU + (p/v)dV
find the expression for dS as a function of T and V (and dT and dV).
b) Integrate the expression found in (a)...
I am planing to study thermal physics on my own as I got an incompetent faculty who doesn't know anything about this subject. I want to have a detailed understanding about the topic. So can somebody suggest me which book I should follow from the following list.
1. Schroeder, Thermal...
Hi all, could somebody have a look over my answers for this question please? The value I got for the second part seems quite feeble.
Homework Statement
The Attempt at a Solution
Part a)
Key
m = mass
cs = specific heat bronze
cm = specific heat molten bronze
Tfus = melting...
I just wanted to know whether the following formula 3/2kT=K (ave) demonstrates the average kinetic energy per atom in a monatomic gas.
And then if 5/2kT=K (ave) demonstrates the average kinetic energy per diatomic molecule.
This comes from the fact that the average energy per degree of...
Homework Statement
In section 2.5 I quoted a theorum on the multiplicity of any system with only quadratic degrees of freedom: In the high-temperature limit where the number of units of energy is much larger than the degrees of freedom, the multiplicity of any such system is proportional to ##...
This is a general question. In struggling hard in my stat and thermal physics course, especially with homework from kittel and kroemer. I am looking for another book that would have more examples so that I can have an easier time with home work problems. Would anyone have any suggestions ?