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I want to master the mathematical side of the First Law of Thermodynamics. My background covers general physics, but the formal derivation of ΔU = Q − W, the differential form dU = δQ − δW, sign conventions, and the way these expressions extend to closed versus open systems still feel hazy. What I need is a clear, step-by-step walk-through that shows where each term comes from, why the partial-differential notation matters, and how to apply the formulation to simple piston, turbine, and heat-exchange examples. Worked numerical problems are essential because I learn fastest by checking my own algebra and unit handling against a clean solution. Deliverables • A concise derivation sheet (PDF or Word) that starts from basic energy conservation and reaches the standard First-Law equations, explicitly stating all assumptions. • Three to five fully solved sample problems that highlight common pitfalls such as sign errors, neglected boundary work, or mixing control-mass with control-volume analysis. • Brief explanatory notes beside each math step so the logic is obvious even without a textbook. • A short follow-up slot (chat or voice) for clarification after I review the materials. Please use standard symbols (U, Q, W, ṁ when needed) and keep the notation consistent throughout. Handwritten derivations are fine as long as they’re scanned clearly; otherwise LaTeX or neatly formatted Word equations are perfect. The goal is a resource I can revisit whenever the First Law crops up in future problems.
Project ID: 40403211
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15 freelancers are bidding on average ₹950 INR/hour for this job

As someone who has spent years studying and writing about the intricate patterns and complexities within the realm of physics, specifically in heat and thermodynamics, I am confident in my ability to deliver a comprehensive, in-depth tutorial that will sharpen your understanding of the First Law. I can also help you to make grip at zeroth law, second law, and, third law of thermodynamics. My solid grasp of classical and quantum mechanics, fluid dynamics, computational physics, and more enable me to break down intricate concepts such as ΔU = Q − W into logical and accessible snippets, removing every haze present. This will ensure that you understand not just how the terms are derived but also why the partial-differential notation matters. To ensure learning is further reinforced practically, I’ll provide three to five fully solved sample problems that highlight common pitfalls. Debugging algebraic mistakes, ensuring every step is logic-believable without a textbook – that's where my expertise counts. Moreover, equipped with a mastery over LaTeX equations along with AutoCAD finesse, I'm committed to delivering a polished digital resource packed with meticulous derivations and clearly handdrawn figures to illustrate principles like mixing control-mass with control-volume analysis. Collaboration is crucial for me; after you've reviewed the materials I'll make myself available for any short clarification sessions via chat or voice.
₹1,000 INR in 40 days
6.5
6.5

Hi. I'm a chemical engineer and I'm an expert in chemical engineering thermodynamics. I read the job description and I can complete the project. If you're interested in my services let me know. Kind regards.
₹1,250 INR in 40 days
5.4
5.4

I'm a licensed professional electrical engineer with over six years of experience in thermodynamics, engineering mathematics, and technical instruction, and I will provide a comprehensive, step-by-step mathematical solution of the First Law of Thermodynamics with rigorous derivations, worked examples, and personalized follow-up support to ensure complete mastery. I have extensive experience applying thermodynamic principles across power systems and heat transfer analysis, and I understand that mastering the First Law requires understanding fundamental energy conservation, the significance of exact vs inexact differentials (dU vs δQ, δW), proper sign conventions, and critical distinctions between closed systems (control mass) and open systems (control volume). I will create a complete learning package including a concise derivation document (PDF or Word) starting from energy conservation principles, developing ΔU = Q − W with all assumptions explicitly stated, deriving differential form dU = δQ − δW with clear explanation. I will provide three to five fully solved sample problems covering piston-cylinder work with gas expansion, turbine/compressor control volume analysis, heat exchanger energy balance, and mixed problems highlighting common pitfalls including sign errors, neglected boundary work, and control mass vs control volume confusion. Each solution will show complete algebra, proper unit handling, and annotations identifying typical mistakes.
₹900 INR in 20 days
2.9
2.9

I’m an engineering student skilled in thermodynamics and can help you clearly master the First Law. I’ll provide a clean derivation from energy conservation to and 3–5 solved problems (piston, turbine, heat exchange) with step-by-step explanations and common pitfalls. Delivered as a neat PDF/Word, with a follow-up for doubts.
₹1,000 INR in 20 days
0.0
0.0

Being a PhD physics researcher who never had a tutor and was mostly either self-taught or dependent on college classes, I know perfectly well what kind of problems students face. I am bidding at the lowest level, because it's my first job. And I will give you my best. All your deliverables will be delivered neatly. And I will use LaTeX. Now, let me point out what makes me different from other freelancers in your project. 1. You will be able to reach out 24x7. And even when our project is over. 2. Without losing patience, I will keep clearing your doubts through different methods until the concepts are crystal clear. 3. My first priority will be to make the concepts clear with the materials that I will provide to you. 4. When having the one-to-one tutorials, you won't be looking at the clock, because you will enjoy those sessions. To have a memorable teacher-student experience, I will look forward to hearing from you. Dr Souraj Ghsoh
₹750 INR in 40 days
0.0
0.0

I have extensive experience in thermodynamics.I can provide the clear, mathematically rigorous tutorial you're looking for.I understand that the transition from general physics to formal thermodynamic notation--specifically handling inexact differentials and control volume analysis can be a hurdle. My approach will include a structured derivation (I'll derive the first law highlighting where flow work transforms internal energy into enthalpy for open systems), also I'll include pitfall proof examples (5 solved problems ) and notation consistency (I will use standard symbols such as ,U,Q,W,m as requested.I am available for a follow up call to ensure every derivation step is clear . Looking forward to helping you master this topic.
₹1,000 INR in 40 days
0.0
0.0

I am a chemical engineer with 42 years professional experience in design and engineering of chemical petrochemical and oil and gas facilities. I have been manager of process engg. at leading international EPC and operating companies (KBR, McDermott, Dow, Petroleum development Oman, electrowatt, Kvaerner,Saipem) and have personally conducted training courses on design principles including application of first law. I always start by deriving it starting from defining internal energy (closed systems and then showing how when the system becomes open, the concept of enthalpy becomes relevant. Then derive the first law for steady state flowing systems. Then apply it to pumps, compressors, turbines, valves etc . I have lots of training material and can put together what you have specified in 7 working days. It will take me 20 hours. regards vasudevan
₹800 INR in 40 days
0.0
0.0

Hello, I can help you master the mathematical formulation of the First Law of Thermodynamics with clear, structured, and well-explained material. I have strong experience in LaTeX and mathematical formatting, and I have worked extensively with equations, derivations, and academic-style documents during my studies. For your project, I will provide: • A clean and concise derivation sheet starting from energy conservation and leading to ΔU = Q − W and dU = δQ − δW, with all assumptions clearly stated • Proper explanation of sign conventions and the meaning of differential terms (δ vs d) • Clear distinction between closed systems and control volume analysis • 3–5 fully solved numerical problems (piston, turbine, heat exchange) with step-by-step solutions and unit consistency • Notes alongside each step so the logic is easy to follow • Well-formatted document in LaTeX (PDF) for clarity and professional presentation I focus on accuracy, neat formatting, and making concepts easy to understand—not just writing equations but explaining the reasoning behind them. I am also available for a short follow-up session to clarify any doubts after delivery. I can start immediately and ensure timely delivery of high-quality work. Looking forward to working with you. Thank you.
₹800 INR in 40 days
0.0
0.0

Hello, I’m very interested in your First Law Formulation Tutorial project. I hold a PhD in Nuclear Physics from the University of Strasbourg (France), and I have a strong background in thermodynamics and energy-based modeling. I also have experience explaining complex physical concepts in a clear and structured way. For your tutorial, I can provide: • Simple and clear explanation of the First Law of Thermodynamics • Step-by-step derivation of the energy balance (ΔU = Q − W) • Practical examples for better understanding • Optional practice problems with solutions My goal is to make the concept easy to understand while keeping it scientifically accurate. I am comfortable working within your budget and can adapt to your preferred format (Word, PDF, or LaTeX).
₹1,200 INR in 40 days
0.0
0.0

I can explain first law of thermodynamics in good way to learn easily and in effective way. It will contain step by step clarification of each step of partial differential equation
₹1,000 INR in 15 days
0.0
0.0

I am the best candidate for this because my major subject is Physics and Mathematics and I am currently a college student and I have learned this formula very well.
₹750 INR in 40 days
0.0
0.0

I can deliver exactly what you’re looking for: a clear, mathematically rigorous, and highly readable derivation guide for the First Law of Thermodynamics, designed for deep understanding—not just memorization.
₹800 INR in 40 days
0.0
0.0

I can prepare a clear, step-by-step First Law of Thermodynamics resource with derivations, consistent notation, and fully solved numerical examples. As a **chemical engineer and approved freelancer**, I have strong thermodynamics expertise and can deliver high-quality PDF/Word materials with practical explanations and follow-up support. For further details, we can get in touch. Best regards,
₹1,000 INR in 7 days
0.0
0.0

I am writing to express my interest in opportunities where I can contribute my multidisciplinary skill set combining language proficiency, scientific analysis, and digital media expertise. I am proficient in both Malay and English, with a foundational understanding of French, enabling me to communicate effectively across diverse environments. My academic and technical background includes hands-on experience with advanced chemical analysis techniques such as Fourier Transform Infrared Spectroscopy (FTIR), Scanning Electron Microscopy (SEM), Energy Dispersive X-ray Spectroscopy (EDX), Nuclear Magnetic Resonance (NMR), Gas Chromatography–Mass Spectrometry (GC-MS), and Atomic Absorption Spectroscopy (AAS). These skills allow me to conduct detailed material characterization, data interpretation, and analytical problem-solving with precision. In addition to my scientific capabilities, I possess strong digital and creative skills. I am proficient in video editing, photo editing, and live video streaming, which enables me to produce high-quality visual content for communication, education, or promotional purposes. I am also well-versed in Microsoft Office tools, including Word, Excel, and PowerPoint, allowing me to present data and ideas clearly and professionally. Furthermore, I have a basic understanding of object-oriented programming, which supports my adaptability in technical and data-driven environments.
₹1,000 INR in 40 days
0.0
0.0

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