When water is allowed to freeze in the presence of Ar, \(\mathrm{Kr}\) or Xe under pressure then: (a) Atoms to noble gas (G) trapped in the crystal latice of ice giving clathrates corresponding to the composition 8G. \(26 \mathrm{H}_{2} \mathrm{O}\) (b) These are called noble gas hydrates (c) Both are correct here (d) All are incorrect here.

Clathrate hydrates are fascinating structures where water forms a kind of 'cage' around guest molecules, such as noble gases or small organic compounds. This process occurs when water freezes in the presence of these guest molecules under certain conditions, like high pressure. It's important to note that the water molecules are not chemically bonded to the trapped molecule.

Imagine a soccer ball, where the patches represent water molecules creating a sphere with spaces – these spaces, or 'cages', trap the guest molecules. The trapped molecules don't chemically react with the water; instead, they are simply contained within the spaces of the crystalline water structure. A common composition of these hydrates with noble gases is 8G.26H2O, where 'G' represents a noble gas atom such as Argon (Ar), Krypton (Kr), or Xenon (Xe).

In simpler terms, clathrate hydrates are like a molecular-scale version of a guest being in a hotel room made entirely of ice. The 'guest' can leave if the 'room' (the ice lattice) melts or the pressure changes, indicating the lack of a permanent chemical bond.

When you think of noble gases, you might remember them as the 'loners' of the periodic table. Noble gases such as Helium (He), Neon (Ne), Argon (Ar), Krypton (Kr), Xenon (Xe), and Radon (Rn), are known for being extremely unreactive due to their filled electron shells. However, under specific, often extreme conditions, these inert gases can become part of compounds.

In the case of the exercise, Argon, Krypton or Xenon can be trapped in water ice, forming noble gas hydrates. These aren't typical chemical bonds; there's no electron sharing or transferring. This type of compound exemplifies how noble gases can still participate in unique physical interactions despite their inert nature.

Inclusion compounds, also known as host-guest complexes, involve one substance (the host) forming a framework that includes within it a second substance (the guest), without any chemical bonding. The host often forms a cage-like structure around the guest. Clathrate hydrates are a special type of inclusion compound where water acts as the host, forming a lattice that traps the guest molecules.

These relationships are temporary and often reliant on specific conditions such as pressure and temperature. They're much like a guarded parking lot where a car (guest molecule) is parked (trapped) in a spot (water lattice), but there's no permanent attachment. Over time, or if the conditions change (like the guard leaves), the cars can freely leave their spots.

Physical chemistry is the branch of science that deals with the physical properties and physical behavior of molecules, as well as the changes they undergo during chemical reactions. It's essentially the study of how and why substances behave the way they do. Techniques from physical chemistry are used to understand the formation of clathrate hydrates and noble gas compounds.

For example, the behavior of noble gases in clathrate hydrates explores concepts like phase diagrams, intermolecular forces, and crystalline structure – all of which fall under the umbrella of physical chemistry. Understanding how these inert gases can be 'held' in a water lattice without chemical bonds is a perfect illustration of the applications of physical chemistry in solving real-world puzzles.