Question 11

The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the same order is given by:

Based on the principles of thermodynamics and the slopes of the curves on a $$P-V$$ diagram, the processes are assigned as follows:

  • Isobaric (Process $$a$$): Pressure remains constant, resulting in a horizontal line.
  • Isochoric (Process $$d$$): Volume remains constant, resulting in a vertical line.
  • Isothermal (Process $$b$$): Temperature remains constant ($$P \propto \frac{1}{V}$$).
  • Adiabatic (Process $$c$$): No heat exchange occurs. The adiabatic curve is steeper than the isothermal curve because the adiabatic index $$\gamma > 1$$.

Correct Assignment:

  • Isochoric $$\rightarrow$$ Process d
  • Isobaric $$\rightarrow$$ Process a
  • Isothermal $$\rightarrow$$ Process b
  • Adiabatic $$\rightarrow$$ Process c

Final Order:

$$\boxed{d, a, b, c}$$

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