Thermal physics is the combined study of thermodynamics, statistical mechanics, and kinetic theory of gases. This umbrella-subject is typically designed for physics students and functions to provide a general introduction to each of three core heat-related subjects. Other authors, however, define thermal physics loosely as a summation of only thermodynamics and statistical mechanics.
Thermal physics can be seen as the study of system with larger number of atom, it unites thermodynamics to statistical mechanics.
Homework Statement
250.0g of copper at 100.0°C are placed in a cup containing 325.0g of water at 20.0°C. Assume no heat loss to the surroundings. What is the final temperature of the copper and water?
Homework Equations
Conservation of Energy
mcCΔTc = mhCΔTh
The Attempt at a...
Homework Statement
One end of a metal rod is maintained at 100°C, and the other end is placed in a large
container with ice and water at 0°C. The rod has length 50 cm and a cross-sectional area
of 0.8 cm
2
. The heat conducted by the rod melts 4 g of ice in 5 minutes. Calculate the...
Author: Frederick Reif
Title: Fundamentals of Statistical and Thermal Physics
Amazon Link: https://www.amazon.com/dp/1577666127/?tag=pfamazon01-20
Prerequisities:
Table of Contents:
1. Introduction to Statistical Methods
Random Walk and Binomial Distribution / General Discussion...
Hi! I'll be covering the above book next semester and was wondering if there is anything I should be particularly aware of about thermal physics.
-aLearner
Homework Statement
It is said that good ice skating only occurs when the ice below the skates melts. Using the Clausius-Clapeyron equation, estimate the coldest temperature at which good ice skating can occur. (Water expands 9% on freezing, Latent heat of ice melting is 334 kJ/Kg, the contact...
Homework Statement
According to experts good tea can only be made at temperatures greater than 96 degrees celsius. If this is true, can you brew good tea at elevation 4.5km (Pressure = 6.2*10^{4}Pa) . Given that latent heat of vaporisation for water is 2.4*10^{6} J/kg and water has a molar...
Thermal physics- Can you make good tea at a certain pressure!?
Homework Statement
According to experts good tea can only be made at temperatures greater than 97 degrees celsius. If this is true, can you brew good tea at elevation 4km (Pressure = 6.2*10^{4}Pa) . Given that latent heat of...
Homework Statement
A coffee machine in a café passes steam at 100°C into 0.18kg of cold coffee (s.h.c. the same as that of water(4200j/kg/K)) to warm it. If the initial temperature of the coffee is 14°C, what mass of steam must be supplied to raise the temperature of the coffee to 85°C Homework...
Homework Statement
A container is divided into two parts by a thermally conducting wall. There are N atoms of a monatomic ideal gas on the left side, 2N on the right. The gas on the left is initially at absolute temperature 200K, the gas on the right at 500K.
a. After thermal equilibrium...
Homework Statement
A set of telephone lines is to be installed so as to connect town A to town B. The town A has 2000 telephones. If each of the telephone users of A were to be guaranteed instant access to make calls to B, 2000 telephone lines would be needed. This would be rather extravagant...
Homework Statement
A number is chosen at random between 0 and 1. What is the probability that exactly 5 of its first 10 decimal places consists of digits less than 5?Homework Equations
Binomial Coefficient = \displaystyle \binom{N}{n1}
Where n1 denotes "n1" objects of an indistinguishable type...
Homework Statement
I am working on this ahead of my fall class and don't actually want the answer...
just pointers to help me understand something.. Thanks guys! :)
I am really rusty with my general physics and calculus knowledge =(
The original question asks me to prove that, for a...
Homework Statement
Dry steam is used to make a cup of coffee by bubbling it through water. If the
steam is at 100°C, what mass of steam must be used to heat 200 g of water from
25°C to 95°C?
Homework Equations
Not quite sure but I think:
Q= mCΔT
Qcold=-Qhot
The Attempt at a...
Homework Statement
This question has got me REALLY confused. I'll be thankful for any help. I don't even know where to start, though I'll mention what my thoughts were.
Q. A jeweller wishes to harden a sample of pure gold by mixing it with some silver so that the mixture contains 5.0% silver...
A student suspects that the power rating on an immersion heater is 50 W but he is not sure.He sets up an apparatus as shown. After the liquid has been brought to its boiling point, he finds that 3.5g of vapor escaped each minute through the outlet tube.The boiling point of the liquid is 80...
Homework Statement
I'm reading Kittel&kroemer's Thermal physics. How can I know Entropy's functional dependency?
Author assume entropy's functional dependecy without explanations and derive some equaltities. So I can't follow it.
N the number of particles. U Energy of the system. V. volume of...
This isn't a HW problem - I am just having a hard time following one of his examples.
On page 47 near Eq. 1.71 he says "As a quick example, consider a drop of food coloring added to a glass of water. Imagine that the dye has already spread uniformly through half of the glass. How long would...
[b]1. Determine the volume occupied by a 1 mole of an ideal gas at 27° C and 1 atm pressure. Ammonia gas at 27° C and 1 atm is passed at a rate of 41 cm3 s-1 into an apparatus where it flows over an electrically heated wire of resistance 100 . When the heating current is 50 mA the gas leaves...
Homework Statement
If you were to shake bottle with some water in it for about ten minutes, then roughly, how much would the temperature increase?
Homework Equations
K=1/2mv^2
U=N*f*1/2*k*T
The Attempt at a Solution
I think we need to find kinetic energy and assume it all gets...
Okay, so firstly sorry if this is a poor post/wrong topic, I'm kind of new here, and it's been a while!
I'm given an example of a quasistatic process, in a frictionless piston. The piston compresses an ideal gas from Vi to Vf, and pressure increases from Pi to Pf, all at a constant temperature...
Thermal Physics (Help me!)
Following an engineering design, a building is constructed using a steel framework that is 50m high. How much taller is it on a summer day when the temperature is 38oC than on a -5oC winter day?
1. Homework Statement
Consider a CO2 molecule, which is linear and has vibrational modes with frequency
corresponding to 2565 cm-1 (an asymmetric stretch), 1480 cm-1 (a symmetric stretch)
526 cm-1 (bends). Sketch a curve showing how the constant volume heat capacity of CO2
gas varies with...
Homework Statement
Consider a CO2 molecule, which is linear and has vibrational modes with frequency
corresponding to 2565 cm-1 (an asymmetric stretch), 1480 cm-1 (a symmetric stretch)
526 cm-1 (bends). Sketch a curve showing how the constant volume heat capacity of CO2
gas varies with...
The other day I sumbled upon the following joke:
As we all know, it takes 1 calorie to heat 1 gram of water 1 degree centigrade. Translated into meaningful terms, this means that if you eat a very cold dessert (generally consisting of water in large part), the natural processes which raise...
Homework Statement
Two infinite plates are kept at different temperatures T_{cold}<T_{hot}, with vacuum between them. A very thin plate, isolated from the environment, is inserted between the two plates. How will the net rate of heat emission from the hot plate to the cold plate change...
Not homework, just need some help with explaining the effect of the following 2 things on the melting point/freezing point and boiling point of water;
1. Pressure is increased
2. Impurities are added
If possible, can the explanations be as explicit as possible?? I have really no idea how to...
Homework Statement
In an experiment to measure the temperature of the flame of a Bunsen burner, a lump of copper of mass 0.12 kg is heated in the flame for several minutes. The copper is then transferred quickly to a beaker, of negligible heat capacity, containing 0.45 kg of water, and the...
Hello,
An electrical power station situated in Northern Canada uses water to cool the steam as it leaves the turbine. Suggest why the efficiency of the turbine would be greater in winter than in summer:
I first started to think in terms of the efficiency equation I have for heat engines...
Hi :smile:
1. A car tyre has a volume of 18 x 10-3 m3 and contains air at an excess pressure of 2.5 x 105 N/m2 above atmospheric pressure (1.0 x 105 N/m2) Calculate the volume which the air inside would occupy at atmospheric pressure assuming that its temperature remains unchanged:
My...
Hi
The mass of liquid nitrogen in an open beaker is found to have decreased by 46.3 g in 10 minutes. If the S.L.H of vaporization of nitrogen at is boiling point is 1.99 x 105 J/Kg, at what rate were the surroundings heating the beaker?
This is what I did:
Q / 600 = 0.0463 / 600 x 1.99...
Hi :smile:
The mass of liquid nitrogen in an open beaker is found to have decreased by 46.3 g in 10 minutes. If the s.l.h of vaporisation of nitrogen at its boiling point is 1.99 x 105, at what rate were the surroundings heating the beaker? Why is the heat capacity of the beaker irrelevant...
Hi, :smile:
I am learning about thermal physics and I have a doubt:
Say that water and a box of wood, both with the same mass, are at 50 degrees Celsius.
This does not mean that they have the same amount of energy (internal energy in this case?) right?
That is because in water for...
Homework Statement [/b]
E= 13600J, MAss of liquid = 0.1 kg, Temperature change = 25K
2. Homework Equations [/b]
Pt/m*delta T
The Attempt at a Solution
what effect would doubling the time have on the specific heat capacity of the liquid? what i did was to say if the time is doubled...
First post, so hello! We've been introduced to thermal physics, with which I've had some complications:
1)An ideal gas expands isothermically, absorbing a certain amount of energy, Q, in the process. It then returns to its original volume adiabatically. During the adiabatic process, the...
A hypothetical substance has a compressibility k = a /V and a volume expansivity
B = 2bT /V , where a and b are constants and V is the molar volume. Show that the
equation of state is:
V = bT2 - aP + constant
To be honest I'm not entirely sure what I'm actually supposed to be doing with...
Homework Statement
Please see question attached..
Homework Equations
The Attempt at a Solution
Not sure how to go about the derivation..
I know the general derivation of the thermal diffusion equation where we imagine a surface S bounding a volume V, then integral of J.dS =...
Homework Statement
Thermal radiation can be treated thermodynamically as a gas of photons with internal energy U = u(T) V and pressure p = u(T)/3 where u(T) is the energy density. Show that
(a) entropy density s is given by s = 4p/T
(b) Gibbs function = 0
(c) heat capacity at constant...
Homework Statement
A gas obeys the equation p(V-b) = RT and has cv independent of temperature. Show:
(a) the internal energy is a function of temperature only
(b) the ratio cp/cv is independent of temperature and pressure
(c) the equation of an adiabatic change has the form p(V-b)^gamma...
Homework Statement
water vapor is heated from 403.15k to 463.15k and is kept at a constant volume of 3m^2 its initial pressure is 10^5pa what is the density change?
Homework Equations
PV = nRT, D = M/V
The Attempt at a Solution
I don't really know where to go with this i found the...
Homework Statement
I know that Gibbs free energy: G=H-TS, and therefor \frac{dG}{dT}=-S , and that dS=C_P\frac{dT}{T}
Now, I am to show that more generally, dS=C_P\frac{dT}{T}-\frac{dV}{dT}dP(1)
(assuming that the difference between delta and d is mostly the same (symbolwise). The hint I...
Does anyone know of a good undergrad textbook for Thermal Physics. We are using Thermal Physics by Kittel & Kroemer in my class, but for me it doesn't have enough problems to practice. Does anyone know of any other textbook that covers the same material with more practice problems? Any help...
Im don't even know where to start, theses questions, it doesn't seem to link to anything I've learned or any equations. So here we go.
1a) show that about 78,000 J are required to move 28 grams of notrogen molecules (one mole) from the surface of the moon to a point far away from the surface...
Homework Statement
100 moles of very dilute He gas are taken through the cycly ABC, where BC is an isothermal process. If P(a) = P(c) = 1atm, P(b) = 2atm and V(a) = V(b) = 3m^3, Calculate T(a), T(b) and V(c)
Homework Equations
eq1. PV = nRT
eq2. V = nRT/P
The Attempt at a Solution...
Homework Statement
Consider a collection of 100 oscillators, each with an average of 10 quanta.
a) By what factor would \Omega(microstate) change if the total energy were increased by a factor of 2?
b) By what factor would \Omega change if one more oscillator were added to the original...
Consider a very simple model of a computer memory, in which molecules are either found to reside in the left half of their memory cell (encoding a "0"), or in the right half (encoding a "1"). Imagine that we have a 10-bit register. Initially each cell is in the "0" state (i.e., all particles...
I think I got a and b, the rest I did my best on, and I could use some guidance! Thanks!Homework Statement
1. [6] Methane (Natural Gas) Fuel Cell.
Consider a fuel cell that uses methane as fuel. The chemical reaction is
CH4 + 2O2 = 2H2O + CO2 + energy
(a) [0.5] Measurements reveal that...
Consider a large number N of localized particles in an external magnetic field H. Each particle has spin 1/2.
Find the number of states, g(N,M), accessible to the system as a function of M=(Nup-Ndown), the magnetization.
Calculate the entropy per particle.
Determine the value of M...
Hello everyone!
I am taking my Physics Ph. D. Qualifier on Friday and Saturday. During Saturday's exam we will be tested on E&M and Thermodynamics/Statistical Mechanics. We get to take 2 books to each exam, so I basically can take 1 Thermo Book with me (I'm also taking Griffiths on Saturday)...