FE Exam Thermodynamics First Law for Closed System – Rigid Tank Vaporization Problem

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*🧠 FE Exam Prep | First Law for Closed System – Rigid Tank Vaporization Problem*

This video breaks down a classic *FE Thermodynamics* question:
A *rigid, well-insulated tank* contains a saturated water mixture, and electrical heating is applied until the liquid fully vaporizes. You’ll apply the *first law of thermodynamics* to determine how long the process takes.

This *step-by-step solution* reinforces key exam concepts like *internal energy**, **phase change**, and **work-energy balance in closed systems* — all critical for the *FE Mechanical* and *Other Disciplines* exams.

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*✅ You’ll Learn How To:*
Apply the first law of thermodynamics to a rigid, insulated system
Use quality (x) to calculate internal energy of a mixture
Determine final state based on 100% vapor
Relate electrical energy input to thermal energy absorbed
Solve for time using conservation of energy

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*📘 Topics Covered in This Video:*
• Saturated mixtures and quality
• Internal energy calculations
• Work and heat transfer in closed systems
• Electrical resistance heating
• Time-dependent thermodynamic processes

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*💡 Why This Matters:*
Energy balance problems are *core to the FE exam**, especially in Thermodynamics. This one problem helps you connect **state properties**, **electrical work**, and **phase change* — a perfect example of how fundamentals unlock even tough problems.

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