Question

Match the LIST-I with LIST-II:

• A. A-III, B-II, C-I, D-IV
• B. A-I, B-II, C-III, D-IV
• C. A-IV, B-III, C-II, D-I
• D. A-II, B-III, C-I, D-IV

Hint:

Remember the Greek roots: Iso (Same) + Thermal (Heat/Temp) = Constant T. Iso + Choric (Space/Volume) = Constant V. Adiabatic simply means "impassable" for heat!

Answer 1

The Correct Option is D

Concept: Thermodynamic processes are defined by the specific constraints placed on state variables (Temperature, Volume, Pressure) or energy transfers (Heat, Work).

Step 1: Match A (Isothermal).
An isothermal process (A) is one where the temperature remains constant ($dT=0$). For an ideal gas, internal energy depends only on temperature, so an isothermal process results in $du=0$ (II).

Step 2: Match B (Isochoric).
An isochoric process (B) occurs at constant volume ($dV=0$). Since boundary work is defined as $P dV$, no work is done, resulting in $dw=0$ (III).

Step 3: Match C (Adiabatic reversible).
An adiabatic reversible process (C) is isentropic. In a reversible process, $ds = dq/T$. Since it is also adiabatic ($dq=0$), then $ds=0$ (I).

Step 4: Match D (Adiabatic).
An adiabatic process (D) is by definition one where there is no heat exchange between the system and its surroundings, meaning $dq=0$ (IV).