
$P =$ constant, Volume increases and temperature also increases
$\Rightarrow \quad W =$ positive,$\Delta U =$ positive
$\Rightarrow \quad$ Heat is positive and supplied to gas
Process - $2$
$V =$ constant, Pressure decrease
$\Rightarrow$ Temperature decreases
$W =\int pdV =0$
$\Delta T$ is negative and $\Delta U =\frac{ f }{2} nR \Delta T$
$\Rightarrow \quad \Delta U$ in negative
$\Delta Q =\Delta U + W$
$\therefore \quad \Delta Q \rightarrow$ Heat is negative and rejected by gas
Process $3$
$P =$ constant, Volume decreases
$\Rightarrow$ Temperature also decreases
$W = P \Delta V =$ negative
$\Delta U =\frac{ f }{2} nR \Delta T =$ negative
$\Delta Q = W +\Delta U =$ negative
Heat is negative and rejected by gas.
Process $4$
$V =$ constant, Pressure increases
$W =\int pdV =0$
$PV = nRT \Rightarrow$ Temperature increase
$\Rightarrow \quad \Delta U =\frac{ f }{2} nR \Delta T$ is positive
$\Delta Q =\Delta U + W$
$=$ positive
Ans. $(C)$ step $1$ and step $4$





