标签： ENES232

物理代写|PHYS200 Thermodynamics

Posted on by statistics-lab

Statistics-lab™可以为您提供yale.edu PHYS200 Thermodynamics热力学课程的代写代考和辅导服务！

PHYS200 Thermodynamics课程简介

Thermodynamics is the branch of physics that deals with the study of the relationship between heat, work, and energy. The laws of thermodynamics govern the behavior of all physical systems, including those that involve the transfer of energy as heat or work.

The First Law of Thermodynamics: The law of conservation of energy states that energy cannot be created or destroyed, only converted from one form to another. The first law of thermodynamics is a statement of this principle as applied to thermodynamic systems. It states that the total energy of a closed system remains constant, although it may be converted from one form to another.

The Second Law of Thermodynamics: The second law of thermodynamics states that the entropy of an isolated system never decreases over time. Entropy is a measure of the disorder or randomness of a system, and the second law of thermodynamics tells us that the natural tendency of any system is to become more disordered over time.

Thermodynamic Property Relationships: In thermodynamics, a property is a characteristic of a system that can be measured or calculated. Examples of thermodynamic properties include temperature, pressure, volume, and entropy. The relationships between these properties are described by equations of state, which relate them to each other and to the state of the system.

PREREQUISITES 

Presents the definitions, concepts, and laws of thermodynamics. Topics include the first and second laws, thermodynamic property relationships, and applications to vapor and gas power systems, refrigeration, and heat pump systems. Examples and problems are related to contemporary aspects of energy and power generation and to broader environmental issues.

Outcome 1: Students will be able to choose an appropriate system and identify interactions between system and surroundings.
Outcome 2: Obtain values of thermodynamic properties for a pure substance in a given state, using table, relations for incompressible substances, and relations for gases.

Outcome 3: Apply energy and entropy balances in the control mass (closed system) and control volume formulations to the analysis of devices and cycles.

Cornell students enroll only in ENGRD 2210. MAE 2210 for Non-CU students.

PHYS200 Thermodynamics HELP（EXAM HELP， ONLINE TUTOR）

问题 1.

(i) The minimal work required to isothermally drive a system from one state to another is the difference between free energies. The dissipated or irreversible work associated with the isothermal entropy production [cf. (17.4)] is related by the second law to this minimal work.

问题 2.

(ii) QND measurements increase the free energy and thereby the work that can be extracted isothermically. The upper bound on extractable work following a measurement is proportional to the Shannon-entropy information of the measurement (17.12).

问题 3.

(iii) The minimal work required to reset a symmetric memory is the Shannon entropy of the measurement generated by the meter [cf. (17.15)], which yields the Landauer bound for work required to reset a completely random bit. The same work is extractable by completely randomizing a pure-state qubit.

问题 4.

(iv) The minimal work required to store the measurement result and subsequently reset the memory is proportional to the mutual information of the system and the meter.

Textbooks


• An Introduction to Stochastic Modeling, Fourth Edition by Pinsky and Karlin (freely
available through the university library here)
• Essentials of Stochastic Processes, Third Edition by Durrett (freely available through
the university library here)
To reiterate, the textbooks are freely available through the university library. Note that
you must be connected to the university Wi-Fi or VPN to access the ebooks from the library
links. Furthermore, the library links take some time to populate, so do not be alarmed if
the webpage looks bare for a few seconds.

此图像的alt属性为空；文件名为%E7%B2%89%E7%AC%94%E5%AD%97%E6%B5%B7%E6%8A%A5-1024x575-10.png
物理代写|PHYS200 Thermodynamics

Statistics-lab™可以为您提供yale.edu PHYS200 Thermodynamics热力学课程的代写代考和辅导服务！ 请认准Statistics-lab™. Statistics-lab™为您的留学生涯保驾护航。

物理代写|PHYS200 Thermodynamics

Posted on by statistics-lab

Statistics-lab™可以为您提供yale.edu PHYS200 Thermodynamics热力学课程的代写代考和辅导服务！

PHYS200 Thermodynamics课程简介

Thermodynamics is the branch of physics that deals with the study of the relationship between heat, work, and energy. The laws of thermodynamics govern the behavior of all physical systems, including those that involve the transfer of energy as heat or work.

The First Law of Thermodynamics: The law of conservation of energy states that energy cannot be created or destroyed, only converted from one form to another. The first law of thermodynamics is a statement of this principle as applied to thermodynamic systems. It states that the total energy of a closed system remains constant, although it may be converted from one form to another.

The Second Law of Thermodynamics: The second law of thermodynamics states that the entropy of an isolated system never decreases over time. Entropy is a measure of the disorder or randomness of a system, and the second law of thermodynamics tells us that the natural tendency of any system is to become more disordered over time.

Thermodynamic Property Relationships: In thermodynamics, a property is a characteristic of a system that can be measured or calculated. Examples of thermodynamic properties include temperature, pressure, volume, and entropy. The relationships between these properties are described by equations of state, which relate them to each other and to the state of the system.

PREREQUISITES 

Presents the definitions, concepts, and laws of thermodynamics. Topics include the first and second laws, thermodynamic property relationships, and applications to vapor and gas power systems, refrigeration, and heat pump systems. Examples and problems are related to contemporary aspects of energy and power generation and to broader environmental issues.

Outcome 1: Students will be able to choose an appropriate system and identify interactions between system and surroundings.
Outcome 2: Obtain values of thermodynamic properties for a pure substance in a given state, using table, relations for incompressible substances, and relations for gases.

Outcome 3: Apply energy and entropy balances in the control mass (closed system) and control volume formulations to the analysis of devices and cycles.

Cornell students enroll only in ENGRD 2210. MAE 2210 for Non-CU students.

PHYS200 Thermodynamics HELP（EXAM HELP， ONLINE TUTOR）

问题 1.

The control (modulation) transforms the system-bath coupling operators to the time-dependent form $\hat{S}(t) \otimes \hat{B}(t)$ in the interaction picture, via the set of time-dependent coefficients $\epsilon_i(t)$ that define a notation in the Pauli basis $\hat{\sigma}_i$,$\hat{S}(t)=\sum_i \epsilon_i(t) \hat{\sigma}_i$

问题 2.

We next write the time-independent gradient-control matrix (12.31), describing how the fidelity score changes for each pair of the Paui basis operators,
$$
\Xi_{i j} \equiv \overline{\left\langle\psi\left|\left[\sigma_i, \sigma_j|\psi\rangle\langle\psi|\right]\right| \psi\right\rangle}
$$
the overline being an average over all possible initial states.

问题 3.

Using the matrix $\Xi$ whose elements are $\Xi_{i j}$, one arrives at the following expression for the average fidelity of the desired operation (to second-order accuracy in the system-bath coupling):
$$
\bar{f}(t)=1-t \int_{-\infty}^{\infty} d \omega \operatorname{Tr}\left[\boldsymbol{G}(\omega) \boldsymbol{F}t(\omega)\right], $$ where $\boldsymbol{G}(\omega)$ is the bath-coupling (-response) spectral matrix defined in (12.32) and the modulation (control) spectral matrix $\boldsymbol{F}_t(\omega)$ is defined in (12.37) according to the operation, via the gradient-control matrix $\Xi{i j}$.

问题 4.

The fidelity is maximized by the variational Euler-Lagrange method described in Chapter 12 that minimizes the overlap between $\boldsymbol{G}(\omega)$ and $\boldsymbol{F}_t(\omega)$ under the constraint of a given control energy.

Textbooks


• An Introduction to Stochastic Modeling, Fourth Edition by Pinsky and Karlin (freely
available through the university library here)
• Essentials of Stochastic Processes, Third Edition by Durrett (freely available through
the university library here)
To reiterate, the textbooks are freely available through the university library. Note that
you must be connected to the university Wi-Fi or VPN to access the ebooks from the library
links. Furthermore, the library links take some time to populate, so do not be alarmed if
the webpage looks bare for a few seconds.

此图像的alt属性为空；文件名为%E7%B2%89%E7%AC%94%E5%AD%97%E6%B5%B7%E6%8A%A5-1024x575-10.png
物理代写|PHYS200 Thermodynamics

Statistics-lab™可以为您提供yale.edu PHYS200 Thermodynamics热力学课程的代写代考和辅导服务！ 请认准Statistics-lab™. Statistics-lab™为您的留学生涯保驾护航。

物理代写|PHYS200 Thermodynamics

Posted on by statistics-lab

Statistics-lab™可以为您提供yale.edu PHYS200 Thermodynamics热力学课程的代写代考和辅导服务！

PHYS200 Thermodynamics课程简介

Thermodynamics is the branch of physics that deals with the study of the relationship between heat, work, and energy. The laws of thermodynamics govern the behavior of all physical systems, including those that involve the transfer of energy as heat or work.

The First Law of Thermodynamics: The law of conservation of energy states that energy cannot be created or destroyed, only converted from one form to another. The first law of thermodynamics is a statement of this principle as applied to thermodynamic systems. It states that the total energy of a closed system remains constant, although it may be converted from one form to another.

The Second Law of Thermodynamics: The second law of thermodynamics states that the entropy of an isolated system never decreases over time. Entropy is a measure of the disorder or randomness of a system, and the second law of thermodynamics tells us that the natural tendency of any system is to become more disordered over time.

Thermodynamic Property Relationships: In thermodynamics, a property is a characteristic of a system that can be measured or calculated. Examples of thermodynamic properties include temperature, pressure, volume, and entropy. The relationships between these properties are described by equations of state, which relate them to each other and to the state of the system.

PREREQUISITES 

Presents the definitions, concepts, and laws of thermodynamics. Topics include the first and second laws, thermodynamic property relationships, and applications to vapor and gas power systems, refrigeration, and heat pump systems. Examples and problems are related to contemporary aspects of energy and power generation and to broader environmental issues.

Outcome 1: Students will be able to choose an appropriate system and identify interactions between system and surroundings.
Outcome 2: Obtain values of thermodynamic properties for a pure substance in a given state, using table, relations for incompressible substances, and relations for gases.

Outcome 3: Apply energy and entropy balances in the control mass (closed system) and control volume formulations to the analysis of devices and cycles.

Cornell students enroll only in ENGRD 2210. MAE 2210 for Non-CU students.

PHYS200 Thermodynamics HELP（EXAM HELP， ONLINE TUTOR）

问题 1.

  1. Consider $N$ molecules of an ideal monatomic gas, $C_V=3 N / 2$, placed in a vertical cylinder. The top of the cylinder is closed by a piston of mass $M$ and cross section $A$. Initially the piston is fixed, and the gas has volume $V_0$ and temperature $T_0$. Next, the piston is released, and after several oscillations comes to a stop. Disregarding friction and the heat capacity of the piston and cylinder, find the temperature and volume of the gas at equilibrium. The system is thermally isolated, and the pressure outside the cylinder is $P_a$.

问题 2.

  1. For a van der Waals gas
  2. a) Prove that $\left(\partial C_V / \partial V\right)_T=0$
  3. b) Using a), determine the entropy of the monatomic gas $S(T, V)$ and its energy $E(T, V)$ to within additive constants.
  4. Hint: In the limit $V \rightarrow \infty, C_V=3 N / 2$ for a monatomic van der Waals gas.
  5. c) What is the final temperature when the gas is adiabatically compressed from $\left(V_1, T_1\right)$ to $V_2$. How much work is done in this compression?

问题 3.

The operation of a gasoline engine is roughly similar to the Otto cycle:
$A \rightarrow B$ Gas compressed adiabatically, $\triangle S=0$
$B \rightarrow C$ Gas heated isochorically, $\Delta V=0$ corresponds to combustion of gasoline)
$C \rightarrow D$ Gas expanded adiabatically (power stroke)
$D \rightarrow A$ Gass cooled isochorically.
Compute the efficiency of the Otto cycle for an ideal gas as a function of the compression ratio $V_A / V_B$ and the heat capacity $C_V$.

问题 4.

Consider a cylinder of length $L$ with a thin massless piston that divides it into two equal parts. The cylinder is submerged in a large heat bath at temperature $T$. The left side of the cylinder contains $N$ molecules of ideal gas at pressure $P$, while the right side is at $P / 2$. Let the piston be released.
a) What is its final equilibrium position?
b) How much heat will be transmitted to the bath in the process of equilibration?

Textbooks


• An Introduction to Stochastic Modeling, Fourth Edition by Pinsky and Karlin (freely
available through the university library here)
• Essentials of Stochastic Processes, Third Edition by Durrett (freely available through
the university library here)
To reiterate, the textbooks are freely available through the university library. Note that
you must be connected to the university Wi-Fi or VPN to access the ebooks from the library
links. Furthermore, the library links take some time to populate, so do not be alarmed if
the webpage looks bare for a few seconds.

此图像的alt属性为空；文件名为%E7%B2%89%E7%AC%94%E5%AD%97%E6%B5%B7%E6%8A%A5-1024x575-10.png
物理代写|PHYS200 Thermodynamics

Statistics-lab™可以为您提供yale.edu PHYS200 Thermodynamics热力学课程的代写代考和辅导服务！ 请认准Statistics-lab™. Statistics-lab™为您的留学生涯保驾护航。