Topic: Isothermal and adiabatic processes· Thermodynamics

An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among 1, 2, 3 and 4 is :

P-V diagram with four curves 1-4 from common point

1. 4

2. 1

3. 2

4. 3

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Answer: 3. 2

On a P-V diagram, all processes start from the same point. Curve 1 is vertical (constant volume, isochoric) and curve 4 is horizontal (constant pressure, isobaric).

Between the other two, the adiabatic curve is steeper than the isothermal because \(PV^\gamma=\text{const}\) with \(\gamma>1\) falls faster than \(PV=\text{const}\).

Curve 2 is steeper, so it is adiabatic and curve 3 is isothermal. Answer: curve 2, option (3).

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An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among 1, 2, 3 and 4 is :

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