Calculate energy requirements for phase transitions and temperature changes
Phase changes occur when matter transitions between solid, liquid, and gas states.
Heating 1kg of ice at -20°C to steam at 120°C:
Phase changes are transitions between different states of matter (solid, liquid, gas). During these transitions, heat is absorbed or released without changing temperature. This heat is called latent heat.
Q = m × L
Where:
Q = Heat transferred (J or kJ)
m = Mass (kg)
L = Latent heat (J/kg or kJ/kg)
Melting (Fusion): Solid to liquid. Heat absorbed (endothermic).
Latent heat of fusion (Lf)
Freezing: Liquid to solid. Heat released (exothermic).
Magnitude: |Lf|
Vaporization: Liquid to gas. Heat absorbed (endothermic).
Latent heat of vaporization (Lv)
Condensation: Gas to liquid. Heat released (exothermic).
Magnitude: |Lv|
Sublimation: Solid to gas. Heat absorbed (endothermic).
Latent heat of sublimation (Ls)
Deposition: Gas to solid. Heat released (exothermic).
Magnitude: |Ls|
Phase changes in refrigerants absorb heat from surroundings
Evaporation of sweat cools the body
Water boiling and steam condensation
Note: During phase changes, temperature remains constant until the entire substance has changed phase. This is because the heat energy is used to overcome intermolecular forces rather than increase kinetic energy.
| Substance | Melting Point (°C) | Boiling Point (°C) | Latent Heat (kJ/kg) |
|---|---|---|---|
| Water | 0 | 100 |
334 (F) 2260 (V) |
| Ethanol | -114 | 78 |
109 (F) 838 (V) |
| Oxygen | -219 | -183 |
14 (F) 213 (V) |
| Iron | 1538 | 2862 |
247 (F) 6340 (V) |
| Mercury | -39 | 357 |
11.4 (F) 296 (V) |
| Nitrogen | -210 | -196 |
25.7 (F) 199 (V) |
| Copper | 1085 | 2562 |
205 (F) 4790 (V) |
| Silver | 962 | 2162 |
105 (F) 2360 (V) |
| Gold | 1064 | 2856 |
67 (F) 1700 (V) |
Latent heat is the energy absorbed or released by a substance during a phase change without a change in temperature. It's called "latent" because it doesn't cause a temperature change.
There are two main types:
For water, the latent heat of fusion is 334 kJ/kg and latent heat of vaporization is 2260 kJ/kg.
Temperature remains constant during a phase change because the energy being added or removed is used to break or form intermolecular bonds rather than increase molecular kinetic energy.
During phase transitions:
This phenomenon is why phase change graphs show horizontal lines at melting and boiling points.
Sensible heat and latent heat are two types of thermal energy transfer:
| Sensible Heat | Latent Heat |
|---|---|
| Changes temperature | Changes phase (no temperature change) |
| Measured by temperature change | Measured by mass change during phase transition |
| Formula: Q = m × c × ΔT | Formula: Q = m × L |
| Example: Heating water from 20°C to 80°C | Example: Melting ice at 0°C to water at 0°C |
Pressure significantly affects phase change temperatures:
This is why phase diagrams show how melting and boiling points change with pressure.
The triple point is the unique combination of temperature and pressure where all three phases (solid, liquid, gas) coexist in equilibrium.
Key characteristics:
Water has unusually high latent heat values due to its hydrogen bonding:
Comparison with other substances:
This property makes water excellent for temperature regulation in biological systems and climate systems.
| Substance | Solid (J/kg·K) | Liquid (J/kg·K) | Gas (J/kg·K) |
|---|---|---|---|
| Water | 2093 (ice) | 4184 | 1996 |
| Aluminum | 897 | 1180 | 903 |
| Copper | 385 | 495 | 385 |
| Gold | 129 | 150 | 129 |
| Ethanol | 2400 | 2460 | 1690 |
| Iron | 450 | 820 | 440 |
| Silver | 235 | 280 | 235 |
| Nitrogen | 1040 | 2000 | 1040 |