Concept:
The physical state of interhalogen compounds depends mainly on:
• Molecular mass
• Intermolecular forces
• Size of halogen atoms
As molecular size and mass increase, intermolecular attraction becomes stronger, causing the compound to exist as liquid or solid at room temperature.
Step 1: Analyzing the given compounds.
• \(\mathrm{ClF}\) is a small interhalogen compound and exists as a gas.
• \(\mathrm{BrF}\) also exists in gaseous state near room temperature.
• \(\mathrm{ClF_3}\) is gaseous at room temperature.
• \(\mathrm{IF_3}\) contains heavy iodine atoms and stronger intermolecular forces.
Step 2: Identifying the non-gaseous compound.
Because of its larger molecular mass and stronger intermolecular attractions:
\[
\mathrm{IF_3}
\]
exists as a solid at room temperature.
Therefore, it is not gaseous at \(25^\circ C\).
Hence, the correct answer is:
\[
\boxed{(C)\ \mathrm{IF_3}}
\]