Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, radiation, and physical properties of matter. The behavior of these quantities is governed by the four laws of thermodynamics which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics. Thermodynamics applies to a wide variety of topics in science and engineering, especially physical chemistry, biochemistry, chemical engineering and mechanical engineering, but also in other complex fields such as meteorology.
Historically, thermodynamics developed out of a desire to increase the efficiency of early steam engines, particularly through the work of French physicist Nicolas Léonard Sadi Carnot (1824) who believed that engine efficiency was the key that could help France win the Napoleonic Wars. Scots-Irish physicist Lord Kelvin was the first to formulate a concise definition of thermodynamics in 1854 which stated, "Thermo-dynamics is the subject of the relation of heat to forces acting between contiguous parts of bodies, and the relation of heat to electrical agency."
The initial application of thermodynamics to mechanical heat engines was quickly extended to the study of chemical compounds and chemical reactions. Chemical thermodynamics studies the nature of the role of entropy in the process of chemical reactions and has provided the bulk of expansion and knowledge of the field. Other formulations of thermodynamics emerged. Statistical thermodynamics, or statistical mechanics, concerns itself with statistical predictions of the collective motion of particles from their microscopic behavior. In 1909, Constantin Carathéodory presented a purely mathematical approach in an axiomatic formulation, a description often referred to as geometrical thermodynamics.
"HOMEWORK" PROBLEM ORIGINALLY POSTED IN WRONG FORUM, SO NO TEMPLATE
a rigid vessel of volume 1m^3 contains steam at 25 bar and 450c the vessel is cooled until the steam is just dry saturated calculate the mass in the vessel the final pressure and the heat rejected during the process?
i know i...
In my Thermodynamics course, we recently learned about the saturation pressure and saturation temperature of different substances -mainly water. As you know, the saturation temperature at which a substance begins to boil is specific to a fixed saturation pressure. Water only boils at 100...
Homework Statement
Find the expression for c_p - c_v for a van-der-waals gas, with the equation of state
\Bigg{(}p+\dfrac{a}{V^2}\Bigg{)}(V-b)=RT
Homework EquationsThe Attempt at a Solution
Basically I've proved
c_p - c_v = \Bigg{[} p + \Bigg{(}\dfrac{\partial E}{\partial V}\Bigg{)}_T...
Homework Statement
Hi all, I'm having quite a big problem trying to understand the concept of enthalpy and free energy. I feel that a good way to sort this out is to write out what I understand about these things and have people correct me. Thanks in advance for any assistance.
I'm learning...
Homework Statement
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A four-stroke petrol engine with a compression ratio of 9 has a total swept volume of 2.71 litres distributed over 4 cylinders.
Assume the corresponding ideal thermodynamic cycle and the following conditions to calculate the maximum amount of fuel which can be safely...
Homework Statement
Can you please show how to solve this question (I am not asking it for homework. I am asking because it would help me understand better). Determine the entropy change in sys, surr, uni, when a sample of helium has of mass M grams at 298K and 1 bar doubles its volume in...
Homework Statement
Homework Equations
P=F*V, dU=Q-W?, W=m(h1-h2)
The Attempt at a Solution
I have the initial conditions and final conditions written out. For W=m(h1-h2), I have W=9.48(h1-h2). I am having problems with the h values, which can be found in the steam tables.
Homework Statement [/B]
Phospine exist in three forms. known as the \alpha, \beta and \gamma forms. The \alpha and \beta forms are in equilibrium with each other at 49.43 \, K, and the \alpha and \gamma forms are in equilibrium at 30.29 \, K. Obtain the molar heat of transformation for the...
Homework Statement Homework EquationsThe Attempt at a Solution
U is internal energy, but what is u? if its internal energy at a specific state, then why its multiplied by mass? does not makes sense to me...
The third law of quantum mechanics states that a system at absolute zero temperature has zero entropy. Entropy can be conceived as an expression of the number of possible microstates that can produce an identical macrostate. At zero entropy, there should be exactly *one* microstate configuration...
Homework Statement
Two vessels A and B each contain N molecules of the same perfect monatomic gas. Initially, the two vessels are thermally isolated from each other, with the two gases at the same pressure P and at temperatures T_A and T_B. The two vessels are now brought into thermal contact...
Homework Statement
Use the IPCC estimate of anthropogenic SO2 emissions of 55 ⋅ 109 kg/year and natural SO2 emissions of 15 ⋅ 109 kg/year to estimate the residence time of SO2 in the atmosphere.
Is the residence time consistent with SO2 emissions being able to travel from Ohio to Maine as...
Hey Guys!
I need some help for solving question 2 of this example as my HSC exam is in 5 days and I want to be able to solve this question if I receive it on the paper.
Question:
Graph:
Answer for Q1 (Just the formula) :
Work I have done towards this question:
I have realized that from...
Homework Statement
Question: https://imgur.com/a/8rUw1 Graph: https://imgur.com/a/Z1oBO
Homework Equations
Answer for Q1 (Just the formula) : https://imgur.com/a/uesqN
The Attempt at a Solution
I have realized that from 1-2, there is an increase in pressure, decrease in volume and increase...
Homework Statement
Homework Equations
when constant pressure, h=w+u and so H=W+U=Q when U=E. However, in this question, when constant pressure, Q(=12750kJ)=W+U =/= H[=m(h2-h1)].
The Attempt at a Solution
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here's my calculation of enthalpy...
In a heat engine thermal energy is converted into mechanic energy.
In a heat pump or refrigeration cycle - fluid is being circulated between hot and cold wells.
But how can the efficiency be greater than 1?
Is it because COP_{\text{heating}}>COP_{\text{cooling}}
Homework Statement
1kg of moist air of RH 70% at 21oC is cooled at a constant pressure of 1 bar to 5oC. The vapour pressure at 21oC and 5oC are 0.025 bar and 0.0087 bar. The percentage of water vapour that condenses into water at 5oC is?
Want to check whether my intuition & logic are correct...
I'm trying to understand why
$$\left(\frac{\partial P}{\partial T}\right)_V = -\left(\frac{\partial P}{\partial V}\right)_T \left(\frac{\partial V}{\partial T}\right)_P$$
where does the minus sign come from?
Dear all,
I am using molecular dynamics to calculate energy for ionic liquid. In the article that is proposed equation of state that I want to use, the author would call the energy in the following formula(u) conformational(potential energy):
(du/dv)T + T(dp/dT)V = ptot
Firt T and V are...
My colleague has been developing a hybrid water/forced air heat transfer system for a prototype lighting solution we are developing.
I am struggling to get my head around the calculations required to figure out exactly how many watts of energy (heat in this case) are being transferred to the...
What are the math concepts I have to learn for Radiometry, Photometry and Thermodynamics (all Calculus-based) as applied in building science (engineering, architecture, etc.).
I'm almost done with Multivariable Calculus and I'm aware that MV Calculus is necessary, but what specific calculus...
So while practicing statistical mechanics problems I was faced with the following problem : calculate the entropy as function of energy for an ensemble of harmonic oscillators ( the Hamiltonian is ##\sum_{i=1}^N \frac {p_i^2} {2m} + \frac {m\cdot\omega\cdot q_i^2} 2##) ).
Now the official...
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) A block of copper at a pressure of 1 atm and a temperature of 5 degree celcuis is kept at constant volume. If the temperature is raised to 10 degree celcius what will be the final pressure?
(b) If the vessel holding the block of copper has a negligibly small thermal...
I am looking for a graduate level textbook that would sufficiently describe the two phase flow characteristics during flow boiling. What textbook could I use to explore this topic?
Is a graduate level forced convection going to cover two phase flow?
Homework Statement
Two pans filled with water. Water in a 3.7cm deep pan is observed to boil at 98 degrees Celcius. At what temperature will the water in a 46.3cm deep pan boil?
Homework Equations
P=3.146T-211.87 (linear approximation)
Water properties table:
95°C 84.609kPa .001060 vf 1.9808vg...
Homework Statement
On a hot summer day, you planned a trip to a beach, but you inadvertently took a wrong turn and now you’re worried the ice in your cooler is going to melt. The cooler is 0.5 m × 0.5 m × 0.4 m, and is made with 5 cm thick Styrofoam (k = 0.033 W/m2K). Help your panicking...
Learning Radiometry, Photometry, Optics, Thermodynamics, Fluid Mechanics(Statics & Dynamics) with great resources.
I'm looking for resources for understanding the topics above. I prefer video tutorials as opposed to books but I couldn't find any video resources on Photometry and Radiometry (I...
Homework Statement
In the image, as the first chapter of thermodynamics class, I understand all things in the answer except the highlighted part (lower bottom of the image). It is not directly related to thermodynamics but about the area ratio of the two ends of the tube, but I do not...
I am self -studying "blundell thermal physics" . But,the answers of the problems are not given in the book.
So, can anyone recommend me other book with the answers?
I will be thankful to you for this.
Will "An Introduction to Thermal Physics by Daniel V. Schroeder" be a better option ?
Homework Statement
A constant volume gas thermometer contains a gas whose equation of state is
(p+\frac{a}{V^2_m})(V_m-b)=RT
and another, of identical construction, contains a different gas which obeys the ideal gas law, pV_m = RT. The thermometers are calibrated at the ice and steam points...
My event description is "Create a device that retains heat prior to the event and answer thermodynamics questions". This is a high school to 1st year college level competition. I just need a textbook with the basic information on Thermodynamics as well as some information on insulation and the...
1.The problem statement:
Hydrogen (H2) is at standard conditions in a closed tank, V = 5l, and then it's cooled down for 55K. Find delta U and Q.
2. Questions:
If it says standard conditions, can I just use pV = nRT to find n and then deltaU = j/2*nR(delta)T? Also, is there any work that a gas...
Hello everybody,
I am using an equation of state to calculate the thermodynamical properties of a material. I have a problem which is the ideal part of the equation. Actually, I cannot be sure that the ideal contribution in my equation is the really ideal contribution, so I decided to calculate...
Homework Statement
The dot in Fig. 19-18b represents the initial state of a gas, and the isotherm through the dot divides the p-V diagram into regions 1 and 2. For the following processes, determine whether the change Eint in the internal energy of the gas is positive, negative, or zero: (a)...
Hi,
I am a senior in high school and I want to learn more about thermodynamics and physics in general. Unfortunately, I don't have anything available at my high school.
I am trying to find online courses but I honestly don't know where to look at because some of the courses I've seen seem too...
Hello, I tried attempting the following example problem 11.1(please see below), however I don't quite get from where they got cp=1.00 and cv=0.717?
I know that Q=m*cp*delta T=> cp=Q/(m*delta T)
Q=n*cv*delta T=>cv=Q/(n*deltaT)
Problem statement
Their solution:
How did they...
A 2 stage compressor has a final delivery/discharge pressure of 250 bar.
hydrogen is been compressed and stored in vessels.
The pressure in the storage vessel reaches the delivery pressure(i.e.250 bar) and the compressor is still running ( vessel has a safety pressure of 450 bar) and the...
Hi. I apologize if this question has already been made. Unfortunately it's also difficult for me to formulate, especially in english.
If you consider the Sun and Earth as an isolated system, where the Sun is able to produce energy indefinitely (it's not going to become a red giant), will life...
Homework Statement
Assume that one mole of an ideal van der Waals fluid is expanded isothermally, at temperature T_h from an initial volume V_i to a final volume V_f. A thermal reselvoir at temperature T_c is available. Apply
dW_{RWS} = \left ( 1 - \frac{T_{RHS}}{T} \right ) (-dQ) +(-dW)
to a...
Greetings everyone! I have been a long-time lurker on here and have just recently signed up. I'm unsure if this was the correct forum to post this in, so I apologize in advance. My question isn't exactly homework per se - I am currently studying for my MCAT and have been trying to wrap my head...
Homework Statement
Water vapor at 6 MPa, 600C enters a turbine operating at steady state and expands to 10 kPa. The mass flow rate is 2 kg/s, and the power developed is 2626 kW. Stray heat transfer and kinetic and potential energy effects are negligible. Determine (a) the isentropic turbine...
Homework Statement
As shown in Fig. P5.39, a system undergoing a power cycle develops a net power output of 1 MW while receiving energy by heat transfer from steam condensing from saturated vapor to saturated liquid at a pressure of 100 kPa. Energy is discharged from the cycle by heat transfer...
Question
A mass of 1.5 kg of air at 120 kPa and 24 C is contained in a piston-cylinder device. The air is compressed to a final pressure of 600 kPa. During the process heat is transferred from the air such that the temperature inside the cylinder remains constant. Calculate the work input...
This question involves a bit of background, so please be patient. I understand that the heat absorbed by ice's phase change from solid to liquid is much greater than the amount that results from the difference in temperature of the ice and the ice cream batter. So the primary cooling effect is...
I want to solve Irodov's problems in thermodynamics and for this I need a good textbook.
I have Heat and Thermofynamics, Dittman and Zemansky. Should I read this book or should I go for another book?
Someone showed this to me, and I'm struggling to explain why this perpetual motion scheme is impossible.
A picture:
Basically, this is a cylinder within a large reservoir, with water at the level of the reservoir water level. The mass would be dropped and then reach the bottom of the cylinder...
Homework Statement
Air contained in a piston–cylinder assembly, initially at 2 bar, 200 K, and a volume of 1 L, undergoes a process to a final state where the pressure is 8 bar and the volume is 2 L. During the process, the pressure–volume relationship is linear. Assuming the ideal gas model...