List-I | List-II | ||
| (A) | Isothermal process | (I) | No heat exchange |
| (B) | Isochoric process | (II) | Carried out at constant temperature |
| (C) | Isobaric process | (III) | Carried out at constant volume |
| (D) | Adiabatic process | (IV) | Carried out at constant pressure |
Step 1: Define Thermodynamic Processes
Isothermal Process
Characterized by constant temperature (\( \Delta T = 0 \)). The governing equation is:
$$ PV = \text{constant} $$
This process occurs at constant temperature (II).
Isochoric Process
Characterized by constant volume (\( \Delta V = 0 \)), resulting in zero work done:
$$ W = 0 $$
This process occurs at constant volume (III).
Isobaric Process
Characterized by constant pressure (\( \Delta P = 0 \)). The work done is calculated as:
$$ W = P \Delta V $$
This process occurs at constant pressure (IV).
Adiabatic Process
Characterized by no heat exchange (\( Q = 0 \)). The governing equation is:
$$ PV^\gamma = \text{constant} $$
This process involves no heat exchange (I).
Step 2: Match Processes to Conditions
Step 3: Final Answer
The correct selection is: Option (4) A-II, B-III, C-IV, D-I.
A real gas within a closed chamber at \( 27^\circ \text{C} \) undergoes the cyclic process as shown in the figure. The gas obeys the equation \( PV^3 = RT \) for the path A to B. The net work done in the complete cycle is (assuming \( R = 8 \, \text{J/molK} \)):
