Match List I with List II:

Choose the correct answer from the options given below:

(A)-(II), (B)-(IV), (C)-(III) D-(I)

The correct answer is option 1. (A)-(II), (B)-(IV), (C)-(III) D-(I).

Henry's Law describes the solubility of a gas in a liquid. The Henry's Law constant (\(K_H\)) represents the proportionality constant between the concentration of the gas in the liquid phase and the partial pressure of the gas in the gas phase. A higher \(K_H\) value indicates greater solubility of the gas in the liquid.

Now, let us go through the Option 1: (A)-(II), (B)-(IV), (C)-(III), D-(I).

(A)-(II): Gas (A) has a \(K_H\) value of 145. This indicates high solubility, which matches the properties of helium (\(He\)), as helium is highly soluble in many liquids.

(B)-(IV): Gas (B) has a \(K_H\) value of 89. This suggests good solubility, but not as high as gas (A). This matches the properties of nitrogen (\(N_2\)) at 303 K, where nitrogen is relatively soluble in many liquids.

(C)-(III): Gas (C) has a \(K_H\) value of 76.5. This indicates moderate solubility, matching the properties of nitrogen (\(N_2\)) at 293 K, where the solubility of nitrogen is lower than at 303 K but still moderate.

(D)-(I): Gas (D) has a \(K_H\) value of 1.67, indicating low solubility. This matches the properties of carbon dioxide (\(CO_2\)), which is less soluble in most liquids compared to the other gases listed.

This option correctly aligns the gases with their respective \(K_H\) values, reflecting their relative solubilities in a liquid medium.