Import Question JSON

$\text{Hint: Use the ideal gas equation } PV = nRT$ $\text{Explanation: To determine the correct } P\text{-}V \text{ graph for the cyclic process } ABCA\text{, let's analyze the given } P\text{-}T \text{ diagram.}$ $\text{From } A \text{ to } B\text{: The pressure } P \text{ remains constant while the temperature } T \text{ increases. This represents an isobaric (constant pressure) process.}$ $\text{From } B \text{ to } C\text{: The temperature } T \text{ decreases while the pressure } P \text{ decreases as well. This represents an adiabatic or polytropic process where both } P \text{ and } T \text{ decrease.}$ $\text{From } C \text{ to } A\text{: The pressure } P \text{ increases while the temperature } T \text{ remains constant. This represents an isothermal (constant temperature) process.}$ $\text{Now, let's map these observations to the } P\text{-}V \text{ diagrams provided in the options:}$ $\text{1. Process } A \rightarrow B \text{ (Isobaric): In the } P\text{-}V \text{ diagram, an isobaric process would appear as a horizontal line with increasing volume.}$ $\text{2. Process } B \rightarrow C \text{ (Decreasing } P \text{ and } T\text{): In the } P\text{-}V \text{ diagram, this would typically appear as a curved line with both pressure and volume decreasing.}$ $\text{3. Process } C \rightarrow A \text{ (Isothermal): In the } P\text{-}V \text{ diagram, an isothermal process is a hyperbolic curve with increasing pressure as volume decreases.}$ $\text{Hence, option (3) is the correct answer.}$