1. Fundamental Concepts
- Definition: Water is a polar molecule with the chemical formula $$H_2O$$, consisting of two hydrogen atoms covalently bonded to one oxygen atom.
- Cohesion and Adhesion: Water molecules are attracted to each other (cohesion) and to other substances (adhesion).
- Hydrogen Bonding: The partial positive charge on hydrogen atoms attracts the partial negative charge on oxygen atoms in neighboring water molecules.
2. Key Concepts
Surface Tension: Water has high surface tension due to cohesive forces between water molecules.
Solvent Properties: Water is an excellent solvent because it can dissolve many substances through hydrogen bonding.
Heat Capacity: Water has a high heat capacity, which helps regulate temperature in living organisms.
3. Examples
Example 1 (Basic)
Problem: Calculate the number of hydrogen bonds formed per water molecule.
Step-by-Step Solution:
- Each water molecule can form up to four hydrogen bonds (two as donor and two as acceptor).
- Given that each hydrogen bond involves one donor and one acceptor, the maximum number of hydrogen bonds per molecule is $$4$$.
Validation: Each water molecule forms up to $$4$$ hydrogen bonds.
Example 2 (Intermediate)
Problem: If the temperature of a sample of water increases from $$20^\circ C$$ to $$30^\circ C$$, how much energy is absorbed by the water?
Step-by-Step Solution:
- Use the specific heat capacity of water ($$c = 4.18 \cdot 10^3 \text{ J/kg}^\circ C$$).
- Calculate the change in temperature: $$\Delta T = 30^\circ C - 20^\circ C = 10^\circ C$$.
- Assume the mass of water is $$m = 1 \text{ kg}$$.
- The energy absorbed is given by the equation: $$Q = m \cdot c \cdot \Delta T$$.
- Substitute the values: $$Q = 1 \text{ kg} \cdot 4.18 \cdot 10^3 \text{ J/kg}^\circ C \cdot 10^\circ C = 4.18 \cdot 10^4 \text{ J}$$.
Validation: The energy absorbed by the water is $$4.18 \cdot 10^4 \text{ J}$$.
4. Problem-Solving Techniques
- Conceptual Mapping: Create diagrams showing hydrogen bonding and its effects on water properties.
- Unit Conversion: Ensure all units are consistent when performing calculations involving energy and temperature changes.
- Formula Application: Use the specific heat capacity formula to solve problems related to temperature changes and energy absorption.