4.3 Specific Latent Heat

Definition and Concept

What Is Specific Latent Heat?: Specific latent heat is the amount of heat energy needed to change the state of 1 kilogram of a substance, like turning ice into water or water into steam, without changing its temperature at all. Even though you’re adding heat, the thermometer doesn’t move because the energy is used for changing the state, not for warming up.

Energy Without Temperature Change: When a substance melts, boils, freezes, or condenses, energy is still going in or out. But this energy doesn’t show up as a change in temperature. Instead, it helps particles rearrange themselves into a new state.

Focus on Bonds, Not Motion: During these changes, the heat energy doesn’t make particles move faster (which is what happens when things heat up). Instead, it works on breaking or forming the invisible forces (bonds) that hold particles together.

Meaning of “Latent”: The word “latent” means hidden, so this kind of heat is called “latent” because it’s there, but we can’t see its effect through temperature. It’s like invisible work being done inside the substance.

Types of Specific Latent Heat

Two Main Types: There are two main types of specific latent heat: one for melting and freezing (called latent heat of fusion) and one for boiling and condensing (called latent heat of vaporisation). Each of them works during a specific kind of state change.

Latent Heat of Fusion (lf)

Fusion Defined: Latent heat of fusion is the energy needed to turn 1 kilogram of a solid into a liquid, like turning ice into water. It’s also the amount of energy released when a liquid turns back into a solid.

Constant Temperature Phase Change: This change always happens at the same temperature, known as the melting or freezing point. Even as heat is added or removed, the temperature doesn’t rise or fall until the change is finished.

Melting Requires Energy: When a solid melts, energy is needed to loosen the strong bonds between tightly packed particles, allowing them to slide around like in a liquid.

Freezing Releases Energy: When a liquid freezes, the particles get closer and form stronger bonds. This releases heat to the surroundings, even though the temperature stays the same.

Latent Heat of Vaporisation (lv)

Vaporisation Defined: Latent heat of vaporisation is the energy needed to turn 1 kilogram of a liquid into a gas, like water into steam. It’s also the energy released when a gas turns back into a liquid.

Occurs at Boiling Point: This process only happens at a fixed temperature called the boiling point. During this time, heat is added or removed but the temperature doesn’t change.

Energy Breaks Bonds: In boiling, the energy goes into completely breaking the particle bonds so that they can fly apart and become gas. No temperature rise happens during this time.

Condensation Releases Heat: When a gas cools down and becomes a liquid, the particles get close again and release energy. That’s why steam can feel hot—it’s giving off heat as it turns to water.

Symbols and Formulae

Standard Symbols: The symbol ‘lf’ stands for latent heat of fusion and ‘lv’ stands for latent heat of vaporisation. These are used in equations to calculate how much heat energy is needed.

Formula for Fusion: To find out how much energy is needed to melt a solid, you use the formula Q = m × lf. Here, Q means the heat energy in joules, m is the mass in kilograms, and lf is the latent heat of fusion.

Formula for Vaporisation: For vaporising a liquid, the formula is Q = m × lv. This works the same way but uses the value for vaporisation instead.

Units of Measurement: The units for latent heat are joules per kilogram (J/kg). This tells us how much energy it takes to change the state of just one kilogram of a substance.

Intermolecular Forces and Phase Change

Energy Breaks or Forms Bonds: During a phase change, heat energy works on the bonds between particles, either breaking them (like when melting or boiling) or forming them (like when freezing or condensing).

Absorption During Melting/Vaporisation: When a substance melts or boils, it has to absorb energy to pull its particles apart. This is why you have to heat ice or water to change their state.

Release During Freezing/Condensation: When a substance freezes or condenses, its particles come closer and bond more strongly, giving off heat to the surroundings as they settle into a new state.

Specific Latent Heat Values

Different for Each Substance: Every material or substance requires a different amount of heat energy to change its state, such as from solid to liquid or from liquid to gas. This amount of energy depends on how tightly the particles in the substance are held together by bonds. Substances with strong intermolecular bonds will need more energy to separate their particles, while those with weaker bonds will need less. That’s why water, with its strong hydrogen bonds, has a higher latent heat than something like lead, which has weaker metallic bonds.

Water Fusion Value: Water is a very special substance because of the strong hydrogen bonds between its molecules. To change 1 kilogram of ice into liquid water, without changing its temperature, we need 334,000 joules (written as 3.34 × 10⁵ J/kg). This large amount of energy is required to overcome the tight structure of ice and allow the water molecules to move freely as a liquid.

Water Vaporisation Value: Changing liquid water into steam takes even more energy—2.26 million joules for each kilogram (2.26 × 10⁶ J/kg). This is because when water boils, the bonds holding the molecules together in the liquid must be completely broken so the particles can move freely as a gas. That’s a lot of work for the energy to do!

Aluminium Example: Aluminium, a common metal used in cooking and construction, also needs heat to change from solid to liquid. It requires 390,000 joules for every kilogram (390 × 10³ J/kg). That’s quite a bit, but still less than water’s vaporisation energy because metallic bonds are strong, but not as extensive as the complete bond breaking in boiling.

Lead Example: Lead melts much more easily than aluminium. To melt 1 kilogram of lead, we only need 25,000 joules (25 × 10³ J/kg). This is because lead has relatively weak metallic bonds, so its particles don’t need much energy to start moving freely.

Heating and Cooling Curves

Graphical Representation: A heating curve is a graph that shows how the temperature of a substance changes over time as heat is added. It usually starts with a solid getting warmer, then flattens out during melting (as it turns to liquid), then rises again until boiling, and flattens again as it turns to gas. The flat parts of the graph are very important—they show that the temperature stays the same even though heat is still being added.

Melting Plateau: During the melting process, the graph stops rising and stays flat. This flat part is called the “melting plateau.” Even though energy is being added, the temperature doesn’t go up because all the energy is being used to break the bonds between particles in the solid so they can become a liquid. Only after all the solid has melted does the temperature begin to rise again.

Boiling Plateau: A similar thing happens during boiling. When a liquid starts to boil, the temperature doesn’t increase anymore. All the added energy is being used to separate the particles so they can become a gas. This flat part on the graph is called the “boiling plateau.” The temperature will only go up again once all the liquid has turned to gas.

Cooling Process Reverse: Cooling curves look like heating curves, but in reverse. As a gas cools, it reaches its condensation point and the temperature stops dropping while it turns into a liquid. Later, it freezes into a solid, and again, the temperature stays flat during freezing. In both cases, energy is being released to the surroundings even though the temperature is not changing.

Phase Change and Kinetic Energy

No Kinetic Energy Change: Even when we add or remove heat during a phase change, the average speed of the particles (called kinetic energy) doesn’t change. This is why the temperature remains constant. The added heat goes into changing the position and bonding of the particles, not their speed.

Melting/Vaporisation Effects: When a solid melts or a liquid boils, the particles gain energy. But instead of speeding up, they use this energy to overcome the bonds holding them together. In melting, they start to slide past one another. In boiling, they break free completely and fly around as a gas.

Freezing/Condensation Effects: When a gas condenses into a liquid or a liquid freezes into a solid, the particles come closer together and form bonds. In this process, energy is released because forming bonds gives off heat. However, the particles don’t move faster—they slow down and settle into a more fixed structure.

Applications of Specific Latent Heat

Steam for Cooking: Steam is very effective for cooking because when it condenses on food, it gives off a huge amount of heat energy quickly. This helps cook the food faster and more evenly than using dry heat like in an oven. That’s why steamed food like dumplings or vegetables cook so well.

Refrigeration Systems: In refrigerators and air conditioners, special liquids called refrigerants are used. These liquids absorb a lot of heat from inside the fridge when they evaporate. Then, outside the fridge, they condense back to a liquid and release that heat. This cycle keeps the inside of the fridge cool.

Cooling Systems: Many machines, especially in factories or vehicles, have cooling systems. These use liquids that evaporate to carry heat away from hot parts. As the liquid evaporates, it takes heat with it, keeping the machine from overheating.

Body Cooling via Sweat: Our bodies sweat to keep us cool. When the sweat on our skin evaporates, it absorbs heat from our skin to change into vapor. This removes heat from our body, making us feel cooler on a hot day.

Ice as a Cooler: Ice is great for keeping drinks cold. As it melts, it absorbs a lot of heat from the drink without raising the drink’s temperature. That’s why ice keeps your soda nice and cool even in the heat.

Weather Influence: In nature, latent heat plays a huge role in weather. When water evaporates from oceans and lakes, it absorbs heat. Later, when it condenses to form clouds, it releases that heat into the air. This movement of heat helps drive wind, rain, and storms.

Industrial Use: In factories and power stations, machines often use steam to move parts or produce electricity. Steam engines and turbines work by using the energy released during condensation. Also, processes like distillation and turning seawater into fresh drinking water rely on changes in state and the energy involved.

Experimental Determination

Latent Heat of Fusion

Fusion Method: To measure the latent heat of fusion, we can take a block of ice, melt it using an electric heater, and measure how much energy we needed to do that. We also measure how much ice we used and the temperature change (if any).

Tools Used: We need a container to hold the ice (like a beaker), a balance to measure its mass, a power source and heater to melt the ice, a thermometer to check temperature, and a stopwatch to time how long the heater runs.

Formula Used: After recording all measurements, we calculate the energy added (Q) using the formula Q = m × lf. Rearranging this helps us find the latent heat of fusion (lf).

Latent Heat of Vaporisation

Vaporisation Method: To find latent heat of vaporisation, we heat a liquid until it boils away. We measure how much mass is lost (which tells us how much evaporated) and how much energy was used to do it.

Equipment Needed: This includes a beaker or flask, a heating device, thermometer, timer, and a balance to track mass loss. We may also use a lid to reduce energy loss from the surface.

Formula Applied: The energy used is again calculated with Q = m × lv, where lv is the latent heat of vaporisation. By knowing Q and m, we solve for lv.

Experimental Setup and Error Minimisation

Setup Components: We assemble the setup using stable stands and clamps to hold the beaker or flask, a precise thermometer to check temperature, and an accurate balance to measure mass. We also make sure everything is secure and safe.

Reducing Heat Loss: To make the experiment more accurate, we use insulating materials like foam or tissue paper around the beaker. This helps keep the heat inside and prevents energy from escaping into the air, which could affect our measurements.

Comparison with Specific Heat Capacity

Two Distinct Concepts: Specific heat capacity and specific latent heat are both about how substances absorb or release heat, but they apply in different situations. Specific heat capacity is used when we are changing temperature. Specific latent heat is used when we are changing state.

Phase vs. Temperature: Specific heat applies when the substance stays in the same state—like water just getting warmer. Latent heat applies when the substance changes from solid to liquid or liquid to gas without changing temperature.

Heat Use Differences: With specific heat, energy goes into making the particles move faster, which increases their kinetic energy and raises the temperature. With latent heat, energy goes into changing how the particles are arranged, which means it affects their potential energy. The particles may move further apart or get closer, but they don’t speed up, so the temperature stays the same.