Dinitrogen trioxide is: (a) Anhydride of \(\mathrm{HNO}_{2}\) (b) Anhydride \(\mathrm{HNO}_{3}\) (c) Anhydride of \(\mathrm{H}_{2} \mathrm{~N}_{2} \mathrm{O}_{4}\) (d) Anhydride of \(\mathrm{HNO}_{4}\)

Inorganic chemistry is a branch of chemistry that deals with inorganic compounds, typically those that are not organic, meaning they do not contain carbon-hydrogen (C-H) bonds. It covers a wide range of substances including minerals, metals, and nonmetals, each having its own unique properties and reactions. When studying dinitrogen trioxide in inorganic chemistry, it's essential to recognize that it is classified as an acid anhydride, which is a specific subset of inorganic compounds.

Acid anhydrides, such as dinitrogen trioxide (N₂O₃), play a fundamental role in various chemical reactions. They are oxides that react with water to form acids, which is relevant to numerous industrial processes, laboratory syntheses, and understanding chemical equilibria in environmental chemistry. By grasping the basis of acid anhydrides and their reactions, one can begin to predict and understand broader inorganic reaction mechanisms.

Chemical formulas represent the types and numbers of atoms present in a compound, offering invaluable insights into its composition and potential chemical behavior. In the context of acid anhydrides and dinitrogen trioxide (N₂O₃), understanding chemical formulas is crucial. The 'N₂' indicates that two nitrogen atoms are present, while the 'O₃' corresponds to three oxygen atoms.

Breaking down the chemical formula further involves identifying the valency and combining capacity of these atoms to deduce the nature of the anhydride. Dinitrogen trioxide, upon reaction with water, forms nitrous acid (HNO₂), indicating its anhydrous nature and highlighting the significance of chemical formulas in predicting chemical reactions. Similarly, analyzing and manipulating chemical formulas is a vital skill in chemistry, as it helps to visualize the molecular structure, which can be linked to the substance's physical properties and reactivity.

Preparing for competitive exams like the National Eligibility cum Entrance Test (NEET) in India requires a strong grasp of chemistry concepts, including inorganic chemistry and the intricacies of chemical formulas. For a concept like acid anhydrides, it’s important to understand the general formulas and how they relate to their corresponding acids.

Approaching NEET chemistry preparation, it is advantageous to practice with a variety of questions, particularly those involving anhydrides, as they test your ability to apply general principles to specific cases. Strategies include creating summary notes of key concepts, regularly revisiting complex topics such as acid-base reactions and anhydrides, and solving numerous practice problems to gain familiarity with the format and types of questions asked. Most crucially, understanding the conceptual foundations rather than rote memorization enables better handling of the tricky questions that often appear in competitive exams.