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A chemical formula represents a compound using the chemical symbols of the elements present in it and the subscripts to denote their proportions. For example, the chemical formula for water is H2O, which shows that it is composed of two hydrogen (H) atoms and one oxygen (O) atom.

From a chemical formula, we can derive the following information: 1. The elements present in the compound: In the case of H2O, the elements are hydrogen (H) and oxygen (O). 2. The proportions of the elements: In H2O, the ratio of hydrogen to oxygen is 2:1. 3. The formula weight or molecular weight: By adding the atomic weights of the constituent elements (obtained from the periodic table) in the ratio given by the formula, we can calculate the formula or molecular weight. For water (H2O), the molecular weight is (2 × 1) + (1 × 16) = 18 g/mol.

A chemical equation is a symbolic representation of a chemical reaction, with reactants on the left and products on the right. It uses chemical symbols and formulas to represent the substances involved, and stoichiometric coefficients to indicate the quantities of each substance. For example, the balanced chemical equation for the reaction between hydrogen and oxygen to form water is: \[2H_{2} + O_{2} \rightarrow 2H_{2}O\].

From a chemical equation, we can derive the following information: 1. Reactants and products: The substances on the left-hand side of the equation are the reactants (in this case, hydrogen and oxygen), and the substances on the right-hand side are the products (water). 2. Stoichiometry: The coefficients in the equation (2 for H2 and 1 for O2, for example) indicate the stoichiometric ratios of the reactants and products, which are necessary to balance the equation, following the law of conservation of mass. 3. State of the substances: A chemical equation may also include state symbols (s, l, g, or aq), which provide information about the physical states of the substances (solid, liquid, gas, or aqueous) under the reaction conditions. In conclusion, a chemical formula provides information about the elements present in a compound and their proportions, while a chemical equation provides information about the reactants and products involved in a chemical reaction and their stoichiometry.