a
\((I)\) Adiabatic process \(\Rightarrow \Delta Q=0\) No exchange of heat takes place with surroundings

\((II)\) Isothermal proess \(\Rightarrow\) Temperature remains constant \((\Delta T =0)\)

\(\Delta u =\frac{ F }{2} nR \Delta T \Rightarrow \Delta u =0\)

No change in internal energy \([\Delta u =0]\)

\((III)\) Isochoric process Volume remains constant

\(\Delta V =0\)

\(W =\int P \cdot d V =0\)

Hence work done is zero.

\((IV)\) Isobaric process \(\Rightarrow\) Pressure remains constant

\(W = P . \Delta V \neq 0\)

\(\Delta u =\frac{ F }{2} nR \Delta T =\frac{ F }{2}[ P \Delta V ] \neq 0\)

\(\Delta Q = n C _{ p } \Delta T \neq 0\)