This project is about research and computational modeling. You can use any software to design the material of lithium titanate: MATLAB, VESTA, QUANTUM ESSPRESSO or any material design software you prefer. There are some factors we research and see from the design: ionic conductivity, vacancy, energy barrier, band structure, etc. From those factors, we can emphasize that lithium titanate is one of the good choices for energy storage, high power of batteries.
The format of the report should be: Introduction, Literature Review, Hypothesis/Objectives, Materials and Methods, Results, Discussion, Conclusions, References.
I have attached some journal articles related to lithium titanate and reference page below. You can add more journal articles that you feel they are necessary.
Font: Times New Roman, size 12, APA format for the report.
Then, do one POWER POINT for presentation.
In the following given problem, i need to construct a logical algorithm (Matlab codes/functions) or excel sheet to acquire from an adiabatic reservoir filling process the following:
1)Final mass introduced to a reservoir Temperature of a pure substance and its vapor/liquid compositions (a & b)(Given the reservoir final volume, and the final pressure) (a reference state might need to be added to acquire the final results hence U,G and H are needed to obtain the result)
2) Same thing but for a mixture
I need the process explained in details so i can follow the logical sequence + formulas as well as a brief analysis of the results obtained
Further detailed given in the PDF file
In the following given problem, i need to construct a logical algorithm (Matlab codes/functions) or excel sheet to acquire from an adiabatic reservoir filling process the following:
1)Final mass introduced to a reservoir Temperature of a pure substance and its vapor/liquid compositions (a & b)(Given the reservoir final volume, and the final pressure) (a reference state might need to be added to acquire the final results hence U,G and H are needed to obtain the result)
2) Same thing but for a mixture
Thermodynamics Hw: it is needed to use the Peng Robinso equation of state to solve a problem of Adiabatic filling of a reservoir,(all the given instructions are in the PDF)
It is crucial to explain how the results were obtain as well as the logical sequence of processes/formulas (or functions in case of matlab)) Needed to solve for the following variables:
It is needed to acquire the
1)mass of (a+b) pure substance and(c) mixture of 2 substances
2) The final Temperature of the substance/system, and other thermodynamic variables namely x&/or y (Needs a reference state to obtain most of them, hence one should pass by H,U, and G)
Object in a Temperature Bath with Exponentially Decaying Temperature.
An object with volume V and surface area A is immersed in a large bath, just as modeled in class, however this time the bath temperature varies as a function of time T(t). The external bath , initially at a temperature T0, cools down exponentially: T(t) = T0et. The average heat transfer coefficient between the object and the bath is known: h. Furthermore, there is almost no conductive resistance in the object such that one can assume negligible internal resistance. Determine the temperature of the object as a function of time. [Note: The method of solution for this problem should follow the one derived in class, but with one important and major difference. This will produce a completely different ODE, likely non-homogenous, that will be difficult to solve. If you are unable to find the solution to this type of problem in your DE textbook, you can obtain the solution using modern tools (e.g. Wolfram Alpha, graphing
