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Showing posts with the label area enclosed by pv curve

Work Done in Cyclic Process — PV Diagram Trick 🔥

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  ❓ Question An ideal gas undergoes a cyclic process as shown in the figure. Work done by the gas in the entire cycle is: 🖼 Question Image ✍️ Short Solution This is a PV diagram cycle question . Key Idea: Work   done   in   one   complete   cycle   =   Area   enclosed   in   PV   graph \textbf{Work done in one complete cycle = Area enclosed in PV graph} Direction matters: Clockwise → Work positive Anticlockwise → Work negative 🔷 Step 1 — MOST IMPORTANT RULE 💯 For cyclic process: W = ∮ P   d V W = \oint P\, dV Graphically: W = Area enclosed by the cycle \boxed{W = \text{Area enclosed by the cycle}} No need to calculate individual paths unless asked separately. 🔷 Step 2 — Identify Shape of Cycle Look carefully at the diagram: If rectangle → Area = Δ P × Δ V \Delta P \times \Delta V If triangle → Area = 1 2 × base × height \frac{1}{2} \times \text{base} \times \text{height} ...