The question refers to a given $P$-$V$ diagram and asks for the corresponding $T$-$P$ diagram, but the actual diagrams for:

1. the original $P$-$V$ graph, and
2. options A, B, C, D

are not visible in the provided prompt.

So the answer cannot be derived uniquely from the text alone.

Why the diagram is essential

For an ideal gas, $PV=nRT$ so $T=\frac{PV}{nR}.$

To convert a path from the $P$-$V$ plane to the $T$-$P$ plane, we must know how $P$ and $V$ vary along the process.

For example:

• Isochoric process ($V=\text{constant}$): $T \propto P$ so the $T$-$P$ graph is a straight line through the origin.
• Isobaric process ($P=\text{constant}$): $T \propto V$ so in the $T$-$P$ plane it becomes a vertical line at constant $P$.
• Isothermal process: $T=\text{constant}$ so in the $T$-$P$ plane it is a horizontal line.
• General curve in $P$-$V$ plane requires the exact diagram to determine the $T$-$P$ shape.

Conclusion

Since the required figure and options are missing, a rigorous derivation is not possible from the information provided.

The stored correct answer is C, but I cannot independently verify it without the diagrams.

If you upload the actual $P$-$V$ graph and the four $T$-$P$ options, I can solve it completely and verify whether C is indeed correct.