First Law Formulation Tutorial
Budget: ₹750 – ₹1,250 INR
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.
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.