If a thermodynomic process of a gas gives a rightward tramition on a p – Vaigr – [Free] B70
If a thermodynomic process of a gas gives a rightward tramition on a p – Vaigram, alich of these describes the work done by the gas? ponitive negative zero
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Understanding Work Done by a Gas on a p-V Diagram
Question: If a thermodynamic process of a gas gives a rightward transition on a p–V diagram, which of these describes the work done by the gas?
- a) Positive ✅
- b) Negative
- c) Zero
Answer:
The correct answer is: Positive.
💡 Explanation:
In thermodynamics, the work done by a gas during expansion or compression is given by the area under the curve in a pressure-volume (p–V) diagram.
The formula used to calculate the work is:
W = ∫ViVf p dV
Here,
- W is the work done
- p is the pressure
- Vi is the initial volume
- Vf is the final volume
Now, if the transition on the diagram moves rightward, that means:
- Volume is increasing (Vf > Vi)
- Pressure (p) is positive
As a result, the integral of p dV is also positive, which indicates that the gas is doing positive work on the surroundings.
🔁 Visualizing Rightward Movement:
On a p–V diagram:
- Rightward transition = Increase in volume
- Area under the curve = Work done by the gas
- If area is above the volume axis and positive, work is positive
Summary: A rightward transition on a p–V diagram indicates an increase in volume at positive pressure, meaning that the gas is doing positive work. Therefore, the correct description of the work done by the gas is positive.