Definitions [23]
Define one kilo-calorie of heat.
One kilo-calorie of heat is the heat energy required to raise the temperature of 1 kg of water from 14.5°C to 15.5°C.
The sum of the potential energy and kinetic energy of a molecule is called its internal energy.
The total internal energy of all the molecules of a substance is called its thermal energy.
The measurement of the quantity of heat is called calorimetry.
Heat is that form of energy which flows from a hot body to a cold body when they are kept in contact.
Define the term heat.
The kinetic energy due to random motion of the molecules of a substance is known as its heat energy.
Substances that do not conduct heat easily are called bad conductors of heat.
Conduction is the process by which heat flows from the hot end to the cold end of a solid body without any net bodily movement of the particles of the body.
OR
The process by which heat flows from the hot end to the cold end of a solid body without any net bodily movement of the particles of the body is called conduction.
Solid substances that conduct heat easily are called good conductors of heat.
Convection is the process by which heat is transmitted through a substance from one point to another due to the actual bodily movement of the heated particles of the substance.
OR
The process by which heat is transmitted through a substance from one point to another due to actual bodily movement of the heated particles of the substance is called convection.
OR
The mode of heat transfer by actual motion of matter (bulk transport of fluid) from the source of heat, which occurs only in fluids, is called convection.
The transfer of heat energy from one place to another via emission of EM energy (in a straight line with the speed of light) without heating the intervening medium is called radiation.
OR
The transfer of heat energy from one place to another via emission of EM energy (in a straight line with the speed of light) without heating the intervening medium is called radiation.
Calorimetry is the science of measuring heat exchange during physical or chemical processes. The word comes from the Latin calor (heat) + Greek metron (measure).
OR
An experimental technique for the quantitative measurement of heat exchange is called calorimetry.
A calorimeter is a cylindrical vessel which is used to measure the amount of heat gained (or lost) by a body when it is mixed with another body or substance.
Temperature is a parameter which tells the thermal state of a body (i.e., the degree of hotness or coldness of the body). It determines the direction of flow of heat when two bodies at different temperatures are placed in contact.
Define absolute zero.
The temperature at which the pressure and volume of a gas theoretically reach zero is called absolute zero.
Define coefficient of linear expansion.
Coefficient of Linear expansion is equal to the change in length of a rod of length 1m when its temperature rises by 1°C.
Heat capacity or thermal capacity of a body is the quantity of heat needed to raise or lower the temperature of the whole body by 1°C (or 1K).
Define thermal capacity.
- Heat capacity or thermal capacity is defined as the amount of heat energy required to raise the temperature of a body by 1°C. It is denoted by ‘C’.
- C = Q/t, where C’ is the heat capacity, ‘Q’ is the quantity of heat required and ‘f’ is rise in temperature.
- SI unit of heat capacity is J/K. It is also expressed in cal/°C, kcal/°C or J/°C.
Define the term heat capacity.
The heat capacity of a body is the amount of heat energy required to raise its temperature by 1°C or 1K.
The specific heat capacity of a substance is the amount of heat energy required to raise the temperature of unit mass of that substance through 1°C (or 1 K).
OR
Heat capacity of a body when expressed for the unit mass is called the specific heat capacity of the substance of that body.
OR
The amount of heat energy required to raise the temperature of a unit mass of an object by 1 °C is called the specific heat of that object.
OR
The amount of heat per unit mass absorbed or given out by a substance to change its temperature by one unit (one degree), i.e., 1°C or 1 K, is called specific heat capacity.
OR
The quantity of heat required to raise the temperature of a unit mass of a gas by one degree, whose exact value depends upon the mode of heating the gas and can range from zero to infinity or even be negative, is called the specific heat capacity of a gas.
The amount of heat required to raise the temperature of one mole of a substance through a unit degree Celsius or Kelvin is called molar heat capacity.
Define heat capacity.
The heat capacity of a body is the quantity of heat required to raise its temperature by 1°C. It depends upon the mass and the nature of the body.
The quantity of heat needed to raise the temperature of the whole body by 1°C (or 1 K) is called heat capacity.
OR
The amount of heat ΔQΔQ supplied to a substance to change its temperature from T to T + ΔT, per unit mass per unit degree change in temperature, is called specific heat:
-
Unit: J kg⁻¹ K⁻¹
Formulae [4]
Heat capacity = Q = m × s
- SI Unit: J/K (or equivalently J/°C)
- Dimensional Formula: [ML2T−2K−1]
\[Q=mc\Delta T\]
Specific heat capacity c = \[\frac{\text{Heat capacity of body } C'}{\text{Mass of the body } m}\]
or
Specific heat capacity c = \[\frac{Q}{m\times\Delta t}\]
C = M × c = Q/(nΔT)
Unit: J/mol · K
Theorems and Laws [3]
Statement: In steady-state heat flow by conduction in a bar with ends maintained at different temperatures TC and TD, the heat flow is proportional to the temperature difference and the area of cross-section A, and inversely proportional to the length L.
Also written as:
Where K is the thermal conductivity of the material.
Key Points:
- Gases are poor conductors; liquids have intermediate conductivities; solids are generally good conductors.
- The greater the value of K, the more rapidly the material conducts heat.
Statement: All bodies emit radiant energy depending on their temperature. The heat emitted (H) by a body is given by:
Where:
- σ = Stefan-Boltzmann constant
- e = Emissivity (for perfect radiator, e = 1)
- A = Area of the body
- T = Temperature (in Kelvin)
Key Points:
- Black bodies absorb and emit more radiant energy than bodies of lighter colors.
- Thermal radiation is partially reflected and partially absorbed when it falls on other bodies.
Statement: When different parts of an isolated system are at different temperatures, heat transfers from the part at higher temperature to the part at lower temperature. The heat lost by the hot object is equal to the heat gained by the cold object, provided no heat is allowed to escape to the surroundings.
(For liquid in calorimeter: m1c1Δθ + mcccΔθ)
Key Points:
- A system is said to be isolated if no exchange of heat occurs between the system and its surroundings.
- Calorimetry literally means measurement of heat.
- Energy supplied by heater = VIt (voltage × current × time).
- This principle is based on the Law of Conservation of Energy.
Key Points
- Heat is the energy that flows from a hot body to a cold body when they are kept in contact.
- The S.I. unit of heat is joule (J), while calorie and kilocalorie are commonly used units.
- One calorie is approximately equal to 4.2 joule, and kilocalorie is used to measure the energy value of foods.
- The transfer of heat from the hot part to the cold part of an object is called conduction of heat.
- Conduction takes place through solid substances only — it requires a medium.
- Heat travels by molecular collisions: fast-vibrating molecules pass energy to slower neighbours.
- Copper conducts heat faster than aluminium, which conducts faster than steel.
- Conduction of heat through a substance depends on the property of that substance.
- Good conductors: silver, copper, aluminium, brass — all metals.
- Bad conductors: wood, cloth, air, paper — most non-metals.
- Good conductors of heat are also good conductors of electricity, and bad conductors of heat are also bad conductors of electricity.
- Convection occurs only in fluids (liquids and gases) — not in solids.
- In conduction, molecules vibrate but stay in place.
- In convection, molecules physically move from one place to another.
- Heating reduces density → hot fluid rises; cool fluid sinks → a convection current is set up.
- Convection currents transfer heat to the entire mass of the fluid.
- Potassium permanganate makes convection currents visible as magenta-coloured streams.
- When water is heated from the top, its density decreases, and it stays at the top. Since hot water cannot sink, convection does not occur and the bottom remains cool.
- Radiation is the transfer of heat without a medium — through electromagnetic waves.
- Heat from the Sun reaches us through radiation across the vacuum of space.
- All objects above 0 K emit thermal radiation (electromagnetic waves).
- Radiation is a two-step process: thermal energy → EM waves → thermal energy.
- Black or dark surfaces absorb more heat radiation; absorption also depends on the intrinsic properties of the substance.
- An infrared camera uses the radiation emitted by objects to see at night — useful for military surveillance.
- Copper is an excellent conductor; plastic is a bad conductor (insulator).
- Heat readily conducts through metals (copper and steel) but not through non-metals (wood and plastic).
- A calorimeter is an insulated device used to measure heat transfer; measurement of specific heat of a substance is carried out using it.
- Principle of Calorimetry: Heat lost by hot body = Heat gained by cold body, which represents the law of conservation of heat energy.
- In the method of mixtures, a heated sample is placed in the calorimeter and the temperature change is measured to calculate specific heat using the formula Q = msΔt.
- Specific heat of a substance depends on the nature of the substance; water is preferred in calorimetry due to its high specific heat, allowing it to absorb large amounts of heat with minimal temperature change.
- For accurate results, the sample must be transferred quickly into the calorimeter and stirred well to ensure uniform heat distribution.
- If no heat flows between two bodies in contact, they are said to be at the same temperature, even though their thermal energies may be different.
- The S.I. unit of temperature is kelvin (K), and absolute zero (0 K) is the temperature at which molecular motion ceases.
- Heat energy absorbed (Q) depends on: mass (m), rise in temperature (Δt), and specific heat capacity (c), i.e., Q ∝ m × Δt × c.
- Heat capacity (C') and specific heat capacity (c) are related by: C′ = m × c.
