ISC • Class 11 • Physics
Heat and Thermodynamics
Thermal properties, heat transfer, and laws of thermodynamics.
Chapter 8
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What is Heat and Thermodynamics?
Thermal properties, heat transfer, and laws of thermodynamics.
Heat and Thermodynamics matters because it connects theory, equations, and real physical behaviour. At Class 11 level, students are typically expected to explain concepts precisely, apply laws correctly, and interpret numerical or experimental questions with confidence.
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Summary
The One Thing
Thermodynamics describes how temperature differences drive heat transfer and how heat and work change a system’s internal energy. Its laws also determine the direction of natural processes and place limits on the efficiency of thermal devices.
Reactions, Processes and Experiments
| What happens | Equation or process | What you observe | Type |
|---|---|---|---|
| Two systems reach the same temperature, so there is no net heat flow between them. | Thermal equilibrium | No net heat flows between the systems. | Thermal process |
| Two systems are each in thermal equilibrium with a third system and therefore are in thermal equilibrium with each other. | Zeroth law of thermodynamics | Systems in mutual thermal equilibrium have the same temperature. | Law of thermodynamics |
| A substance increases in length when its temperature rises. | change in length = alpha L change in T; final length = L(1 + alpha change in T) | The length increases as temperature increases. | Linear thermal expansion |
| A substance increases in area when its temperature rises. | change in area = beta A change in T, with beta approximately equal to 2 alpha for an isotropic solid. | The area increases as temperature increases. | Area expansion |
| A substance increases in volume when its temperature rises. | change in volume = gamma V change in T, with gamma approximately equal to 3 alpha for an isotropic solid. | The volume increases as temperature increases. | Volume expansion |
| Water behaves unusually as it is cooled below 4 degrees Celsius. | Anomalous expansion of water: water has maximum density at about 4 degrees Celsius and expands when cooled from 4 degrees Celsius to 0 degrees Celsius. | Water expands when cooled from 4 degrees Celsius to 0 degrees Celsius; its maximum density is at about 4 degrees Celsius. | Anomalous expansion |
| Heat changes the temperature of a substance without changing its state. | Q = mc change in T | The temperature changes; no change of state is specified. | Sensible heating or cooling |
| Heat changes the temperature of an entire body. | C = Q divided by change in T = mc | The body’s temperature changes in response to supplied or removed heat. | Heat-capacity process |
| Heat is absorbed or released during a change of state. | Q = mL | The state changes while the temperature remains constant. | Latent-heat process |
| Hot bodies transfer energy to colder bodies in an insulated calorimeter. | For a mixture in an insulated calorimeter: heat lost by hot bodies equals heat gained by cold bodies. | The hot bodies cool and the cold bodies warm until thermal equilibrium is reached. | Calorimetry |
| Heat passes through a uniform slab without bulk movement of the material. | Rate of heat conduction through a uniform slab: H per unit time = kA(T1 - T2) divided by L, where k is thermal conductivity. | Heat flows from the higher-temperature side to the lower-temperature side. | Conduction |
| Heat is transferred through the bulk movement of a fluid caused by density differences. | Convection | Warmer, less-dense fluid rises and cooler, denser fluid sinks. | Convection |
| Heat is transferred by electromagnetic waves. | Radiation | Heat can travel without a material medium. | Radiation |
| The rate of cooling depends on the temperature difference from the surroundings. | Newton's law of cooling states that, for a small temperature difference, the rate of cooling is approximately proportional to the temperature difference between the body and its surroundings. | A body cools more rapidly when its temperature difference from the surroundings is greater. | Cooling process |
| A black body emits radiant power dependent on its absolute temperature. | Stefan's law: total radiant power emitted by a black body is proportional to its absolute temperature raised to the fourth power, P = sigma AT^4. | Radiant power increases strongly as absolute temperature increases. | Thermal radiation |
| The wavelength of maximum emission depends on absolute temperature. | Wien's displacement law: wavelength of maximum emission satisfies lambda maximum multiplied by T = constant. | The wavelength of maximum emission changes as temperature changes. | Thermal radiation |
| An ideal gas obeys a pressure–volume–temperature relationship. | For an ideal gas: PV = nRT, where n is the number of moles and R is the universal gas constant. | Pressure, volume, and absolute temperature are related; temperature must be measured in kelvin. | Ideal-gas law |
| A gas expands or contracts against an external pressure, transferring energy as work. | Work done by a gas in a quasistatic process: W = integral of P dV; it equals the area under the P-V graph. | Expansion gives work done by the gas; the work is represented by the area under the P-V graph. | Work process |
| A gas undergoes a process at constant temperature. | Isothermal process: temperature remains constant; for an ideal gas, change in internal energy is zero, so Q = W. | Temperature remains constant and, for an ideal gas, change in internal energy is zero. | Isothermal process |
| A gas undergoes a process without heat exchange. | Adiabatic process: no heat is exchanged, so Q = 0 and change in U = -W. | No heat enters or leaves the system. | Adiabatic process |
| A gas undergoes a process at constant volume. | Isochoric process: volume remains constant, so work done is zero and change in U = Q. | Volume remains constant and no work is done by the gas. | Isochoric process |
| A gas undergoes a process at constant pressure. | Isobaric process: pressure remains constant; work done is W = P(V2 - V1). | Pressure remains constant while volume changes. | Isobaric process |
| Heat supplied to a system changes its internal energy and may perform work. | First law using the convention that W is work done by the system: Q = change in U + W, or change in U = Q - W. | Supplied heat is accounted for as increased internal energy and/or work done by the system. | First law of thermodynamics |
| A heat engine absorbs heat from a high-temperature source, performs work, and rejects heat to a low-temperature sink. | Efficiency of a heat engine: eta = work output divided by heat absorbed from the source = 1 - Qc divided by Qh. | Not all absorbed heat becomes work; some heat is rejected to the sink. | Heat engine |
| A reversible Carnot engine operates between two temperatures. | For a reversible Carnot engine: efficiency = 1 - Tc divided by Th, where temperatures are measured in kelvin. | Efficiency depends on the source and sink temperatures and is less than complete conversion of heat into work. | Carnot engine |
| A refrigerator transfers heat from a cold region to a hot region using external work. | Refrigerator | The cold region loses heat while the hot region receives heat; external work is required. | Refrigeration process |
| The performance of a refrigerator is measured by useful heat removal per unit work input. | Coefficient of performance: For a refrigerator, COP equals heat removed from the cold region divided by work input. | A refrigerator’s effectiveness is expressed as heat removed from the cold region relative to work supplied. | Performance measure |
| Heat flows spontaneously from a hot body to a cold body. | Second law of thermodynamics | Natural heat flow is from higher temperature to lower temperature. | Second law of thermodynamics |
| Energy becomes more dispersed in an isolated system. | The second law can be expressed through entropy: for an isolated system, change in entropy is greater than or equal to zero. | Entropy of an isolated system does not decrease. | Entropy process |
| A perpetual-motion machine of the first kind attempts to operate without conserving energy. | A perpetual-motion machine of the first kind violates energy conservation. | It would produce energy without an adequate energy input. | Impossible machine |
| A perpetual-motion machine of the second kind attempts complete conversion of heat into work or violates the second law. | A perpetual-motion machine of the second kind violates the second law of thermodynamics. | It would allow an impermissible thermal process, such as complete conversion of absorbed heat into useful work in a cyclic engine. | Impossible machine |
Key Terms
- Thermal equilibrium: A condition in which two systems have the same temperature and no net heat flows between them.
- Temperature: A measure related to the average kinetic energy of particles in a system.
- Heat: Energy transferred from a body at higher temperature to a body at lower temperature because of a temperature difference.
- Zeroth law of thermodynamics: If two systems are each in thermal equilibrium with a third system, they are in thermal equilibrium with each other.
- Thermal expansion: The increase in length, area, or volume of a substance when its temperature rises.
- Coefficient of linear expansion: The fractional change in length per unit rise in temperature: alpha = change in length divided by original length and temperature change.
- Specific heat capacity: The heat required to raise the temperature of unit mass of a substance by one kelvin.
- Heat capacity: The heat required to raise the temperature of an entire body by one kelvin.
- Calorimetry: The measurement of heat exchanged during physical or chemical processes using the principle of conservation of energy.
- Latent heat: Heat absorbed or released during a change of state without a change in temperature.
- Conduction: Transfer of heat through a material without bulk movement of the material, mainly by particle collisions and free electrons.
- Convection: Transfer of heat by the bulk movement of a fluid caused by density differences.
- Radiation: Transfer of heat through electromagnetic waves, which does not require a material medium.
- Internal energy: The total microscopic kinetic and potential energy of the particles of a system.
- Thermodynamic system: A chosen quantity of matter or region of space studied in thermodynamics.
- Thermodynamic process: A change from one equilibrium state to another, such as an isothermal, adiabatic, isobaric, or isochoric process.
- Work done by a gas: Energy transferred when a gas expands or contracts against an external pressure; for constant pressure, W = P change in volume.
- First law of thermodynamics: The change in internal energy equals heat supplied to the system minus work done by the system: change in U = Q - W.
- Second law of thermodynamics: Heat naturally flows from hot to cold, and no heat engine can convert all absorbed heat into useful work.
- Entropy: A thermodynamic quantity that measures energy dispersal or the number of possible microscopic arrangements; for an isolated system, entropy does not decrease.
- Heat engine: A device that absorbs heat from a high-temperature source, performs work, and rejects some heat to a low-temperature sink.
- Refrigerator: A device that uses external work to transfer heat from a low-temperature region to a high-temperature region.
- Coefficient of performance: For a refrigerator, COP equals heat removed from the cold region divided by work input.
- Thermal conductivity: The property represented by k in the rate of heat conduction through a uniform slab.
- Isothermal process: A thermodynamic process at constant temperature.
- Adiabatic process: A thermodynamic process in which no heat is exchanged.
- Isochoric process: A thermodynamic process at constant volume.
- Isobaric process: A thermodynamic process at constant pressure.
- Ideal gas: A gas described by PV = nRT, whose internal energy depends only on temperature, not directly on pressure or volume.
- Black body: The body referred to in Stefan's law as emitting total radiant power proportional to the fourth power of absolute temperature.
- Carnot engine: A reversible heat engine whose efficiency is determined by the temperatures of its hot source and cold sink.
- Absolute temperature: Temperature measured in kelvin, required in gas laws, efficiency relations, and radiation laws.
Easily Confused
- Temperature and heat: Temperature describes the thermal state or average particle kinetic energy, whereas heat is energy transferred because of a temperature difference.
- Specific heat capacity and heat capacity: Specific heat capacity applies to unit mass; heat capacity applies to the entire body.
- Sensible heating and latent heating: Sensible heating changes temperature through Q = mc change in T; latent heating changes state at constant temperature through Q = mL.
- Conduction, convection and radiation: Conduction transfers heat through a material without bulk movement, convection uses bulk fluid movement, and radiation uses electromagnetic waves without requiring a medium.
- Heat engine and refrigerator: A heat engine uses heat transfer to produce work, whereas a refrigerator uses external work to transfer heat from a cold region to a hot region.
- Isothermal and adiabatic processes: An isothermal process has constant temperature and, for an ideal gas, Q = W; an adiabatic process has Q = 0.
- Isochoric and isobaric processes: An isochoric process has constant volume and zero work; an isobaric process has constant pressure and W = P(V2 - V1).
- First and second laws of thermodynamics: The first law concerns energy conservation, while the second law concerns the direction of heat flow, entropy, and the impossibility of complete heat-to-work conversion.
- Heat capacity and latent heat: Heat capacity concerns raising the temperature of a body by one kelvin; latent heat concerns a change of state without a temperature change.
- Heat engine efficiency and refrigerator coefficient of performance: Efficiency compares work output with heat absorbed from the source; COP compares heat removed from the cold region with work input.
What Gets Asked
- Definitions and distinctions: Questions may ask for definitions of temperature, heat, thermal equilibrium, internal energy, entropy, or the three mechanisms of heat transfer. Marks are lost by treating heat as a stored property rather than energy transferred because of a temperature difference.
- Numerical heat calculations: Problems may require Q = mc change in T, C = Q divided by change in T = mc, or Q = mL. Marks are lost by confusing specific heat capacity with heat capacity or by applying the sensible-heating equation during a change of state.
- Calorimetry: Questions may use the principle that heat lost by hot bodies equals heat gained by cold bodies in an insulated calorimeter.
Flashcards
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What determines the direction of heat flow between two bodies?
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What is Heat and Thermodynamics in ISC Class 11 Physics?
Thermal properties, heat transfer, and laws of thermodynamics.
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