Problem 99 - Chemistry The Molecular Science

Question

The molecular formula of ascorbic acid (vitamin \(\mathrm{C}\) ) is \(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6} .\) What is its empirical formula?

Step-by-Step Solution

Answer

Empirical formula: \(\mathrm{C}_3\mathrm{H}_4\mathrm{O}_3\)

Step 1: Understand the Definitions

The molecular formula provides the exact number of atoms of each element in a molecule. The empirical formula is the simplest whole number ratio of these atoms.

Step 2: Write Down the Molecular Formula

The given molecular formula of ascorbic acid is \(\mathrm{C}_6\mathrm{H}_8\mathrm{O}_6\), which signifies that this compound has 6 carbon, 8 hydrogen, and 6 oxygen atoms.

Step 3: Determine the Simplest Ratio

Identify the greatest common divisor for the number of each type of atom. Here, all subscripts 6, 8, and 6 can be divided by 2, which is the greatest common divisor.

Step 4: Simplify the Subscripts

Divide each subscript by 2, leading to \(\mathrm{C}_3\mathrm{H}_4\mathrm{O}_3\).

Step 5: State the Empirical Formula

The empirical formula, which is the simplest whole number ratio of the atoms, is therefore \(\mathrm{C}_3\mathrm{H}_4\mathrm{O}_3\).

Key Concepts

Molecular Formula

The molecular formula is like a molecule's blueprint. It tells us the exact number of each type of atom present in a single molecule. For example, ascorbic acid, which is a form of vitamin C, has the molecular formula \( \mathrm{C}_6\mathrm{H}_8\mathrm{O}_6 \). This means each molecule of ascorbic acid contains exactly 6 carbon atoms, 8 hydrogen atoms, and 6 oxygen atoms.

The molecular formula is crucial for chemists because it provides detailed information that is necessary for understanding the chemical's behavior and properties. Unlike the empirical formula, it doesn't attempt to simplify the numbers but instead gives the complete composition of the molecule.

Think of it like baking a cake; the molecular formula is the complete recipe that lists every ingredient precisely needed in the process.

Ascorbic Acid

Ascorbic acid, commonly known as vitamin C, is an essential nutrient in many animals, including humans. Its role is significant in maintaining health due to several functions such as repairing tissues and enzymatic production of certain neurotransmitters. The molecular formula for ascorbic acid is \( \mathrm{C}_6\mathrm{H}_8\mathrm{O}_6 \).

This molecule is a white crystalline solid and is highly soluble in water, which makes it easy to be used in various supplements and medications.

Ascorbic acid is also known for its antioxidant properties, meaning it helps protect cells from the damage caused by free radicals. With its presence in fruits and vegetables, maintaining adequate levels of vitamin C is part of a healthy diet. Understanding its molecular makeup helps in recognizing the importance of each atom in its function and benefits.

Chemical Ratios

Chemicals often contain a ratio of elements that define their composition. When we talk about these ratios in chemistry, they often manifest as formulas. The molecular formula gives us the actual numbers of each type of atom. However, the empirical formula gives the simplest whole number ratio of these atoms.

For ascorbic acid's molecular formula, \( \mathrm{C}_6\mathrm{H}_8\mathrm{O}_6 \), we deduced through the process of identifying the greatest common divisor (in this case, 2) that its empirical formula is \( \mathrm{C}_3\mathrm{H}_4\mathrm{O}_3 \).

These ratios are important because they determine how atoms combine and in what proportions, affecting a compound’s properties and how it interacts with other substances.

• The molecular formula shows exact numbers, critical for precise chemical reactions.
• The empirical formula provides a simplified version, useful for identifying substances and understanding their general composition.

Understanding these ratios allows chemists to predict behaviors and reactions accurately, ensuring safe and effective applications in everything from laboratory experiments to manufacturing processes.