1. Fundamental Concepts
- Definition: Carbohydrates are organic compounds composed of carbon, hydrogen, and oxygen atoms, typically in a ratio of 1:2:1.
- Types: Monosaccharides (simple sugars), Disaccharides (double sugars), and Polysaccharides (complex sugars).
- Function: Serve as the primary source of energy for living organisms.
2. Key Concepts
Basic Rule: $${\text{{Glucose}}} + {\text{{Fructose}}} = {\text{{Sucrose}}}$$
Degree Preservation: The structure of carbohydrates determines their function and reactivity.
Application: Used in cellular respiration to produce ATP.
3. Examples
Example 1 (Basic)
Problem: Identify the type of carbohydrate with the formula $$C_6H_{12}O_6$$.
Step-by-Step Solution:
- The formula $$C_6H_{12}O_6$$ matches the general formula for monosaccharides.
- Therefore, this is a monosaccharide.
Validation: The formula fits the typical 1:2:1 ratio of C:H:O for simple sugars.
Example 2 (Intermediate)
Problem: Calculate the molecular weight of glucose ($$C_6H_{12}O_6$$).
Step-by-Step Solution:
- Molecular weight of Carbon ($$C$$) = 12 u
- Molecular weight of Hydrogen ($$H$$) = 1 u
- Molecular weight of Oxygen ($$O$$) = 16 u
- Total molecular weight = $$(6 \cdot 12) + (12 \cdot 1) + (6 \cdot 16) = 72 + 12 + 96 = 180$$ u
Validation: The calculated molecular weight matches the standard value for glucose.
4. Problem-Solving Techniques
- Visual Strategy: Use diagrams to represent the structure of different types of carbohydrates.
- Error-Proofing: Double-check the stoichiometry when calculating molecular weights.
- Concept Reinforcement: Relate the chemical structure to its biological function.