JAMB Physics · Section A
Study notes for Change of State — part of the JAMB UTME Physics syllabus. 10 learning objectives with explanations and exam tips.
Specific heat capacity is the amount of heat energy needed to raise the temperature of 1 kilogram of a substance by 1 degree Celsius. Think of it this way: some materials heat up quickly while others take forever. Water has a very high specific heat capacity, which is why it takes a long time to boil a pot of water on your stove but cools down slowly too. Sand, on the other hand, has low specific heat capacity—it gets hot fast under the sun at Lekki Beach but cools down quickly at night.
The formula you need to know is Q = mcΔT, where Q is heat energy, m is mass, c is specific heat capacity, and ΔT is change in temperature. This tells you how much energy different materials need.
Heat capacity tells you how much heat energy an object needs to raise its temperature by 1°C. Think of it like asking: "How stubborn is this thing about heating up?" Different materials resist heating differently. Specific heat capacity is heat capacity per unit mass—it's the amount of heat needed to raise 1kg of a substance by 1°C.
Water has an extremely high specific heat capacity, which is why it takes forever to boil. Consider a pot of water on your mum's stove in Lagos—it needs ages to reach 100°C, but a small piece of iron heats up almost instantly. This is because water's specific heat capacity is about 4,200 J/kg°C while iron's is only 450 J/kg°C.
The formula you'll use is Q = mcΔT, where Q is heat energy, m is mass, c is specific heat capacity, and ΔT is temperature change.
Change of state occurs when matter transforms from one physical form to another—solid to liquid, liquid to gas, or vice versa. This happens when you add or remove heat energy from a substance. Melting is when a solid becomes a liquid, like when you heat palm oil until it flows. Boiling transforms liquid into gas, while condensation reverses this process. Freezing turns liquid to solid. These changes occur at specific temperatures called melting and boiling points, which are constant for each substance. The energy required for change of state is called latent heat, and importantly, temperature remains constant during the actual change even though you're adding heat. Think of water melting at 0°C—the temperature stays at 0°C until all the ice melts, then it rises again.
Change of state occurs when matter transforms between solid, liquid, and gas forms without altering its chemical composition. During these transitions—melting, freezing, evaporation, condensation, and sublimation—energy is absorbed or released, but temperature remains constant until the change completes.
Think of boiling water in your mother's kitchen. As heat is applied, the water temperature rises to 100°C, then stays at 100°C while it boils and converts to steam. This plateau represents the latent heat of vaporization. Similarly, when ice melts, its temperature holds at 0°C during melting, absorbing latent heat of fusion.
For numerical problems, use these formulas: Q = mL (where Q is heat energy, m is mass, L is latent heat). The latent heat values for water are 334,000 J/kg (fusion) and 2,260,000 J/kg (vaporization).
Latent heat is the energy needed to change a substance from one state to another without changing its temperature. When water boils at 100°C, it needs extra energy to become steam, even though the temperature stays at 100°C. That hidden energy is latent heat. Similarly, when ice melts at 0°C, it absorbs latent heat of fusion to become liquid water.
Think of it like this: during Lagos dry season, clothes hanging on a line dry even when it's cool. The water isn't boiling, but it's still changing from liquid to vapor because latent heat of vaporization is being supplied by the sun. The substance's temperature doesn't change during this process, which confuses many students.
There are two main types: latent heat of fusion (for melting/freezing) and latent heat of vaporization (for boiling/condensation). Different substances have different latent heat values.
Specific latent heat of fusion is the amount of heat energy needed to change one kilogram of a solid into a liquid at its melting point, without any temperature change. Think of it as the energy required to break apart the strong bonds holding particles in fixed positions within a solid structure.
When ice melts into water, for example, the temperature stays at 0°C even though you keep adding heat. This energy goes into rearranging the particles rather than making them move faster. In Nigeria, during the harmattan season, if you leave ice in a container, it will gradually melt as heat from the warmer air provides the necessary latent heat, and the water formed remains at 0°C initially.
Different substances have different latent heats. Water's specific latent heat of fusion is quite high at 334,000 J/kg, meaning it requires lots of energy to melt. This is why ice takes time to melt completely even on a hot day.
Vaporization is when a liquid changes into a gas or vapour. Think of it like this: when water in a pot gets hot enough, it transforms from liquid into invisible water vapour that floats away into the air. This happens because heat energy makes the liquid molecules move faster and faster until they break free from each other and escape as gas.
There are two types of vaporization. Boiling occurs when heating happens at a specific temperature (100°C for water), with bubbles forming throughout the liquid. Evaporation is slower and happens at any temperature from the liquid's surface—like when wet clothes dry on a clothesline under the Nigerian sun, or when a puddle disappears after rain without boiling.
Both processes require energy called latent heat of vaporization. Water needs about 2,260 kilojoules per kilogram to completely vaporize.
Change of state happens when matter transforms from one physical form to another—solid, liquid, or gas—without changing what the substance actually is. Think of ice melting into water or water boiling into steam; the H₂O molecules are still there, just arranged differently and moving at different speeds.
A perfect Nigerian example is palm oil. When it's solid at room temperature, it's in its solid state. But heat that palm oil on the stove and it becomes liquid, ready for cooking. Cool it back down and it solidifies again. The palm oil hasn't become something else; it's just changed its physical appearance and properties through melting and freezing.
The key point is that change of state is reversible in most cases. The actual substance remains chemically identical. Only the arrangement and movement of particles differ between states.
Evaporation happens when liquid particles gain enough energy from heat to escape into the air as a gas, even below the boiling point. Think of wet clothes drying on a sunny Nigerian afternoon—the water doesn't need to boil, it simply vanishes into the atmosphere. Boiling, however, is more vigorous. It occurs at a specific temperature (100°C for water) when liquid particles throughout the entire substance gain enough energy to form bubbles of gas that rise and escape. You'll see this when cooking jollof rice; the water bubbles violently at exactly 100°C regardless of how much heat you apply.
The key difference is that evaporation happens at the surface slowly, while boiling happens throughout the liquid rapidly at a fixed temperature. Both are physical changes where the substance changes form but remains the same material.
Temperature and pressure work together to change how matter behaves. When you heat a substance, its particles move faster and need more space, so it can change from solid to liquid to gas. Think of ice melting into water when heated. Pressure does the opposite—when you squeeze something hard enough, you can force a gas into liquid form or even change a liquid's melting point.
Consider what happens in a pressure cooker in a Nigerian kitchen. By trapping steam inside, the pressure increases, raising water's boiling point above 100°C. This cooks food faster than normal boiling. Similarly, if you could apply extreme pressure to water, you could make ice melt even at temperatures below 0°C.
Understanding these effects helps explain everyday phenomena and industrial processes. States of matter aren't fixed—they depend on the conditions around them.