Topics
6📖 1. Chapter Overview
Overview
Thermal Properties of Matter explains how matter responds to heat. Temperature tells the degree of hotness and decides the direction of heat flow, while heat is energy transferred due to temperature difference. The chapter covers temperature scales, heat capacity, thermal expansion of solids and liquids, anomalous expansion of water, calorimetry, specific heat, change of state, latent heat and heat transfer by conduction, convection and radiation. Newton's law of cooling explains how hot bodies cool in surroundings. For NEET, this chapter is highly scoring because questions are usually formula-based, graph-based or application-based, especially from calorimetry, thermal expansion, latent heat, heat conduction and cooling curves.
- 1Kelvin temperature is absolute temperature and K = °C + 273.15 approximately.
- 2Specific heat capacity depends on material and state.
- 3During phase change, temperature remains constant even though heat is supplied or removed.
- 4Water has maximum density at 4°C due to anomalous expansion.
- 5Conduction requires material medium; radiation does not.
- 6Black bodies are perfect absorbers and emitters of radiation.
- 7Cooling rate depends on temperature difference between body and surroundings.
Heat vs Temperature
Temperature decides direction; heat is energy in transit.
Two Heat Formulas
Temperature change uses mcΔT; state change uses mL.
Daily Life Example
A metal spoon in hot tea becomes warm by conduction, while the tea cools by conduction, convection, radiation and evaporation.
NEET Quick Example
To heat 0.5 kg water by 20 K, heat required is Q = mcΔT = 0.5 × 4200 × 20 = 42000 J.
Confusing Heat and Temperature
Heat is energy transferred due to temperature difference; temperature is a measure of hotness.
Using Q = mcΔT During Phase Change
During phase change, temperature is constant and heat is Q = mL.
Forgetting Kelvin in Radiation Problems
Thermal radiation formulas use absolute temperature in kelvin.
Converts Celsius temperature to absolute Kelvin temperature.
Variables
T=Temperature in kelvin
t=Temperature in degree Celsius
Heat required to change temperature of a body without changing its state.
Variables
Q=Heat supplied or removed
m=Mass
c=Specific heat capacity
ΔT=Change in temperature
Heat required for phase change at constant temperature.
Variables
Q=Heat supplied or removed
m=Mass undergoing phase change
L=Specific latent heat
🌡️ 2. Temperature & Heat
Overview
Temperature is the physical quantity that tells how hot or cold a body is and decides the direction of heat flow. When two bodies are in thermal contact, heat flows from the body at higher temperature to the body at lower temperature until thermal equilibrium is reached. Heat is energy in transit due to temperature difference, while internal energy is the total microscopic kinetic and potential energy of molecules of a body. Temperature can be measured using Celsius, Kelvin and Fahrenheit scales. Kelvin is the SI scale and begins at absolute zero. Heat capacity is the heat required to raise the temperature of a body by one kelvin, while specific heat capacity is per unit mass.
- 1A body does not contain heat; it contains internal energy.
- 2Heat flows only because of temperature difference.
- 3Two bodies can have different internal energies but same temperature.
- 4Kelvin temperature cannot be negative in ordinary thermodynamics.
- 5Heat capacity depends on mass and material.
- 6Specific heat capacity is a material property for a given state and condition.
Heat vs Temperature
Temperature tells direction; heat is energy in transition.
Celsius to Fahrenheit
Multiply by 9/5 and add 32.
Solved Example: Temperature Conversion
25°C in kelvin is 25 + 273.15 = 298.15 K. In Fahrenheit, F = 9×25/5 + 32 = 77°F.
Solved Example: Heat Capacity
If 500 J heat raises a body's temperature by 10 K, heat capacity C = Q/ΔT = 500/10 = 50 J K^-1.
Saying Heat Is Stored in a Body
A body stores internal energy, not heat. Heat is energy being transferred.
Using Celsius in Absolute Temperature Formulas
Use kelvin for thermodynamic formulas involving absolute temperature.
Confusing Heat Capacity and Specific Heat
Heat capacity is for the whole body, while specific heat is per unit mass.
Conversion from Celsius temperature to Kelvin temperature.
Variables
T=Temperature in kelvin
t=Temperature in degree Celsius
Conversion from Celsius to Fahrenheit scale.
Variables
F=Temperature in Fahrenheit
C=Temperature in Celsius
Relates Celsius, Fahrenheit and Kelvin scales using fixed points of water.
Variables
C=Celsius reading
F=Fahrenheit reading
K=Kelvin reading
📏 3. Thermal Expansion
Overview
Most materials expand when heated and contract when cooled because their particles vibrate with greater average separation at higher temperature. In solids, expansion can be measured as linear expansion, superficial expansion or volume expansion. Linear expansion describes change in length, superficial expansion describes change in area and volume expansion describes change in volume. Their coefficients are α, β and γ respectively, and for isotropic solids β ≈ 2α and γ ≈ 3α. Water behaves unusually between 0°C and 4°C: it contracts on heating from 0°C to 4°C and expands above 4°C, making its density maximum at 4°C. This anomalous expansion is important for aquatic life in winter.
- 1Thermal expansion depends on original dimension, temperature change and material coefficient.
- 2Liquids show only volume expansion because they do not have fixed shape.
- 3Apparent expansion of liquid is observed relative to container expansion.
- 4Anomalous expansion of water prevents complete freezing of lakes from bottom to top.
- 5A hole in a metal plate expands on heating as if the hole were made of the same material.
- 6Thermal stress can develop if expansion is prevented.
Coefficient Relation
Length, area, volume go 1, 2, 3: α, 2α, 3α.
Water Anomaly
Water is densest at 4°C; this is why lakes freeze from top, not bottom.
Numerical Problem
A 2 m rod with α = 12 × 10^-6 K^-1 is heated by 50 K. ΔL = αLΔT = 12×10^-6×2×50 = 1.2×10^-3 m.
Application Example
Railway tracks have small gaps so that rails do not buckle when they expand on hot days.
Forgetting Unit of Expansion Coefficient
Coefficient of expansion has unit K^-1 or °C^-1.
Using Linear Formula for Volume
Use ΔV = γVΔT for volume expansion, not ΔL = αLΔT.
Assuming Holes Shrink on Heating
A hole in a heated metal plate expands as if filled with the same material.
Change in length of a solid rod or wire due to temperature change.
Variables
ΔL=Change in length
α=Coefficient of linear expansion
L=Original length
ΔT=Change in temperature
Change in area due to temperature change.
Variables
ΔA=Change in area
β=Coefficient of superficial expansion
A=Original area
Change in volume due to temperature change.
Variables
ΔV=Change in volume
γ=Coefficient of volume expansion
V=Original volume
🔥 4. Specific Heat & Calorimetry
Overview
Specific heat capacity is the heat required to raise the temperature of unit mass of a substance by one kelvin. Heat capacity is the heat required for the whole body, while molar heat capacity is the heat required to raise the temperature of one mole by one kelvin. Calorimetry is the measurement of heat exchange. The principle of calorimetry states that if no heat is lost to surroundings, heat lost by hotter bodies equals heat gained by colder bodies. This principle is used in mixture problems, finding final temperature, and determining specific heat. Water has high specific heat, so it absorbs or releases large heat for small temperature change, affecting climate and cooling systems.
- 1Specific heat is a property of material, while heat capacity also depends on mass.
- 2Temperature change in kelvin and Celsius has the same numerical value.
- 3In calorimetry, assign heat gained positive and heat lost negative or equate magnitudes carefully.
- 4For mixtures of same substance, final temperature can be found by weighted average using masses.
- 5If phase change occurs, include latent heat terms.
- 6NEET mixture questions often require careful heat balance.
Calorimetry Principle
In an insulated setup: hot loses, cold gains.
Heat Capacity vs Specific Heat
Heat capacity is for body; specific heat is for 1 kg.
Solved Mixture Example
100 g water at 80°C is mixed with 100 g water at 20°C. Same mass and same specific heat give final temperature = (80 + 20)/2 = 50°C.
Specific Heat Example
A 2 kg metal absorbs 1000 J and temperature rises by 5 K. c = Q/(mΔT) = 1000/(2×5) = 100 J kg^-1 K^-1.
Forgetting Calorimeter Heat Capacity
If calorimeter heat capacity is given, include heat gained or lost by calorimeter.
Using Celsius Instead of Temperature Difference
Temperature difference in °C and K is numerically same, so use ΔT carefully.
Ignoring Phase Change
If ice melts or steam condenses, include latent heat along with mcΔT.
Heat required to raise the temperature of a body by one kelvin.
Variables
C=Heat capacity
Q=Heat supplied
ΔT=Temperature change
Heat required to raise temperature of unit mass by one kelvin.
Variables
c=Specific heat capacity
m=Mass
ΔT=Temperature change
Heat required to raise temperature of one mole by one kelvin.
Variables
Cm=Molar heat capacity
n=Number of moles
❄️ 5. Change of State & Latent Heat
Overview
Matter commonly exists as solid, liquid and gas. A change of state occurs when matter changes from one state to another due to heat exchange. Melting changes solid to liquid, freezing changes liquid to solid, vaporisation changes liquid to gas, condensation changes gas to liquid and sublimation changes solid directly to gas. During a phase change at constant pressure, temperature remains constant even though heat is supplied or removed. This hidden heat is called latent heat because it changes internal molecular arrangement rather than temperature. Latent heat of fusion is used in melting and freezing, while latent heat of vaporisation is used in boiling and condensation. Heating and cooling curves help visualize these processes.
- 1Latent heat does not raise temperature; it changes state.
- 2Latent heat of vaporisation is usually larger than latent heat of fusion.
- 3Melting point and boiling point depend on pressure.
- 4Steam at 100°C causes more severe burns than water at 100°C because steam releases latent heat on condensation.
- 5Cooling curve is reverse of heating curve.
- 6NEET often asks heating curve, ice-water mixing and steam-water mixing problems.
Phase Change Heat
Temperature change uses c; state change uses L.
Latent Meaning
Latent means hidden: heat is absorbed but temperature does not rise.
Solved Example: Melting Ice
To melt 0.1 kg ice at 0°C, if Lf = 3.36 × 10^5 J kg^-1, Q = mLf = 0.1 × 3.36 × 10^5 = 3.36 × 10^4 J.
Steam Example
Steam at 100°C gives more heat than water at 100°C because it first condenses and releases latent heat of vaporisation.
Adding Temperature Rise During Melting
During melting or boiling, temperature remains constant until phase change completes.
Using Same Specific Heat for All States
Ice, water and steam have different specific heat capacities.
Ignoring Latent Heat in Ice or Steam Problems
Always include mL when phase change occurs.
Heat required to change state of mass m at constant temperature.
Variables
Q=Heat supplied or removed
m=Mass changing state
L=Specific latent heat
Heat required to convert solid into liquid at melting point without temperature change.
Variables
Lf=Specific latent heat of fusion
m=Mass melted or frozen
♨️ 6. Heat Transfer
Overview
Heat transfer occurs by conduction, convection and radiation. Conduction is heat transfer through a material without bulk movement of matter, mainly due to molecular collisions and free electrons. It is important in solids and is described by thermal conductivity. Convection is heat transfer by bulk motion of fluid; hot fluid rises and cold fluid sinks, producing convection currents. Radiation is heat transfer by electromagnetic waves and does not require a material medium. A black body is an ideal absorber and emitter of radiation, while emissivity measures how effectively a real body emits compared with a black body. Everyday examples include cooking, sea breeze, thermos flasks, warm clothes, room heaters and cooling fins.
- 1Metals are good conductors mainly due to free electrons.
- 2Air is a poor conductor, so woollen clothes trap air for insulation.
- 3Convection cannot occur in solids because bulk movement is not possible.
- 4Radiation intensity increases strongly with absolute temperature.
- 5Shiny surfaces are poor absorbers and poor emitters.
- 6Blackened surfaces absorb and radiate heat efficiently.
- 7Thermos flask reduces conduction, convection and radiation.
Modes of Heat Transfer
Conduction contacts, convection circulates, radiation radiates.
Radiation
Radiation needs no medium; sunlight reaches Earth through vacuum.
Conduction Example
A metal spoon placed in hot soup becomes hot because heat is conducted through the metal.
Convection Example
Sea breeze forms because land heats faster than sea, producing convection currents in air.
Radiation Example
You feel heat from a fire even without touching it because thermal radiation reaches you.
Thinking Convection Occurs in Solids
Convection needs bulk motion, so it occurs in fluids, not solids.
Using Celsius in Stefan Law
Radiation formulas require absolute temperature in kelvin.
Confusing Good Absorber and Poor Emitter
Good absorbers are generally good emitters; black surfaces are good at both.
Rate of heat flow through a slab of thickness l and area A.
Variables
H=Heat current or rate of heat transfer
Q=Heat transferred
t=Time
k=Thermal conductivity
A=Area
T1 - T2=Temperature difference
l=Thickness or length
Resistance offered by a slab to heat conduction.
Variables
R_th=Thermal resistance
l=Thickness
k=Thermal conductivity
A=Area
🌬️ 7. Newton's Law of Cooling
Overview
Newton's law of cooling states that the rate of loss of heat or fall of temperature of a body is directly proportional to the temperature difference between the body and its surroundings, provided the temperature difference is small and surrounding temperature remains constant. Mathematically, dT/dt = -k(T - Ts). The negative sign shows that body temperature decreases during cooling. The cooling curve is exponential: the body cools quickly at first when temperature difference is large and slowly later as it approaches room temperature. The law is used to estimate cooling of hot liquids, forensic time of death, thermometer response and heat loss from objects. Experimental verification involves recording temperature at equal time intervals.
- 1The greater the temperature difference, the faster the cooling.
- 2The negative sign indicates fall in body temperature.
- 3For small temperature intervals, average temperature difference can be used.
- 4Radiation, convection and conduction may all contribute to cooling.
- 5Cooling constant depends on surface area, nature of surface, mass, specific heat and surroundings.
- 6Blackened surfaces cool faster than polished surfaces due to better radiation.
Cooling Law
Cooling speed depends on temperature gap: bigger gap, faster cooling.
Curve Shape
Cooling is fast first, flat later; think exponential fall.
Solved Example
A body cools from 80°C to 70°C in 5 min in surroundings at 30°C. Average excess temperature = ((80+70)/2) - 30 = 45°C. Cooling rate = 10/5 = 2°C/min.
Application Example
Tea cools faster when it is very hot because its temperature difference with room air is larger initially.
Assuming Constant Cooling Rate
Cooling rate decreases as body temperature approaches surrounding temperature.
Ignoring Surrounding Temperature
The law depends on T - Ts, not only on body temperature.
Using Law for Very Large Temperature Differences
Newton's law of cooling is most valid for small temperature differences.
Rate of temperature fall is proportional to excess temperature of body over surroundings.
Variables
T=Temperature of body
Ts=Temperature of surroundings
k=Cooling constant
Temperature difference decreases exponentially with time.
Variables
T0=Initial temperature of body
t=Time elapsed
e=Base of natural logarithm
Formula Sheet
10Converts Celsius temperature to absolute Kelvin temperature.
Variables
T=Temperature in kelvin
t=Temperature in degree Celsius
Heat required to change temperature of a body without changing its state.
Variables
Q=Heat supplied or removed
m=Mass
c=Specific heat capacity
ΔT=Change in temperature
Heat required for phase change at constant temperature.
Variables
Q=Heat supplied or removed
m=Mass undergoing phase change
L=Specific latent heat
Change in length of a solid due to temperature change.
Variables
ΔL=Change in length
α=Coefficient of linear expansion
L=Original length
ΔT=Temperature change
Rate of cooling is proportional to temperature difference between body and surroundings.
Variables
T=Temperature of body
Ts=Temperature of surroundings
k=Cooling constant
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NEET PYQs — Thermal Properties of Matter
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The value of coefficient of volume expansion of glycerin is $5\times10^{-4}\,\text{K}^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ}\text{C}$ in its temperature is:
A slab of stone of area 0.36 m² and thickness 0.1 m is exposed on the lower surface to steam at 100°C. A block of ice at 0°C rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. (Given latent heat of fusion of ice = 3.36 × 10$^5$ J kg⁻¹) The thermal conductivity of slab is:
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