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Physics · Class 11 Science

Ch 7Thermal Properties of Matter — Class 11 Physics, concept-first.

Until this chapter, describing the equilibrium of a mechanical system or the motion of a body only ever needed three fundamental quantities: length, mass and time. Every other mechanical quantity -- velocity, force, energy, and so on -- can be built out of these three.

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7.1

Introduction

Until this chapter, describing the equilibrium of a mechanical system or the motion of a body only ever needed three fundamental quantities: length, mass and time.

7.2

Temperature and Heat

Heat is best understood as energy IN TRANSIT. When two bodies at different temperatures are brought into contact, energy flows from the hotter to the colder one; this flow continues until no further n…

7.3

Measurement of Temperature

To measure temperature scientifically we first need a reliable way to say when two systems are at the SAME temperature, even without touching them together.

7.4

Absolute Temperature and Ideal Gas Equation

Two further ideas complete the groundwork for thermometry: first, that there is a genuinely absolute (thermodynamic) temperature scale that does not depend on the properties of mercury, resistance wir…

7.4.1

Absolute zero and absolute temperature

Experiments on gases at low density show that, at constant pressure, the volume of a fixed quantity of gas is directly proportional to its temperature measured in °C; likewise, at constant volume, its…

7.4.2

Ideal Gas Equation

The relationship among a gas's pressure, volume and (absolute) temperature is called the ideal gas equation. Using absolute temperature, the classical gas laws take particularly simple forms:

7.5

Thermal Expansion

Matter normally expands when heated and contracts when cooled. In a solid, the atoms vibrate about fixed mean positions; heating makes them vibrate more vigorously, pushing neighbouring atoms slightly…

7.5.1

Linear Expansion

For a substance in the form of a long rod of length , a small temperature change produces a fractional change in length that is directly proportional to (Fig.

7.5.2

Areal Expansion

For a substance in the form of a flat plate of area , the fractional change in area for a small temperature change (Fig.

7.5.3

Volume Expansion

For a substance in the form of a cube (or any three-dimensional solid) of volume , the fractional change in volume for a small temperature change (Fig.

7.5.4

Relation between Coefficients of Expansion

Because , and all describe the same underlying phenomenon (the same linear stretching of interatomic spacing) viewed along one, two, or three dimensions respectively, they are not independent -- they…

7.6

Specific Heat Capacity

If equal masses of water and paraffin are heated for the same time by an identical heater (so both receive the same heat energy), paraffin's temperature rises roughly twice as much as water's.

7.6.1

Specific Heat Capacity of Solids and Liquids

If is the heat absorbed or released by a substance of mass undergoing a temperature change , its specific heat capacity is defined by so that if and , then : specific heat capacity is the heat needed…

7.6.2

Specific Heat Capacity of Gas

Gases behave differently from solids and liquids when heated: even a small temperature change can be accompanied by a considerable change in BOTH volume and pressure.

7.6.3

Heat Equation

Combining the ideas of mass, specific heat and temperature change into a single working formula gives the general HEAT EQUATION: i.e., heat received or given out equals mass times temperature change t…

7.6.4

Heat Capacity (Thermal Capacity)

While specific heat capacity is a per-unit-mass property of a SUBSTANCE, it is often more convenient to talk about the heat needed for a particular BODY of that substance, of whatever total mass it ha…

7.7

Calorimetry

Calorimetry is the experimental technique for QUANTITATIVELY measuring heat exchange, carried out using a calorimeter (Fig.

7.8

Change of State

Matter ordinarily exists in three states -- solid, liquid and gas -- and moving from one of these to another is a CHANGE OF STATE, driven by an exchange of heat between the substance and its surroundi…

7.8.1

Sublimation

Not every substance passes neatly through solid-liquid-gas in sequence. Some substances change directly from the SOLID state to the VAPOUR state (and back) WITHOUT ever passing through an intermediate…

7.8.2

Phase Diagram

A pressure-temperature (P-T) diagram, called a phase diagram, is a convenient way to see at a glance which phase (solid, liquid or vapour) a substance is in for any combination of pressure and tempera…

7.8.3

Gas and Vapour

The words "gas" and "vapour" are often used loosely as if interchangeable, but they have a precise physical distinction rooted in a substance's CRITICAL TEMPERATURE -- the temperature above which no a…

7.8.4

Latent Heat

Whenever a substance changes state, heat is either absorbed or released, WITHOUT any accompanying change in temperature -- exactly the flat plateaus seen in the heating curve of §7.8 (Fig. 7.9).

7.9

Heat Transfer

Heat can move from one point of a body (or from one body to another) by three fundamentally different mechanisms: CONDUCTION, in which heat passes molecule to molecule through a solid without any bulk…

7.9.1

Conduction

Conduction is the process by which heat flows from the hot end to the cold end of a solid body WITHOUT any net bulk movement of the body's own particles.

7.9.1.1

Thermal Conductivity

Thermal conductivity is a qualitative measure of how readily a solid conducts heat through it -- a good conductor of heat has a HIGH thermal conductivity, a bad conductor (insulator) has a LOW one.

7.9.1.2

Coefficient of Thermal Conductivity

To quantify conduction precisely, consider a cube of side with two opposite faces, each of area , maintained at temperatures and () (Fig. 7.12(b)).

7.9.1.3

Thermal Resistance (RT)

By direct analogy with electrical resistance (potential difference divided by current), the ratio of temperature difference to heat-flow rate is called the thermal resistance of a conducting slab or r…

7.9.1.4

Applications of Thermal Conductivity

Everyday design choices exploit thermal conductivity directly. Cooking utensils are made of a metal (a good conductor, so heat from the flame quickly reaches the food) but are fitted with handles of a…

7.9.2

Convection

Unlike conduction, where energy passes molecule-to-molecule while each particle stays near its own mean position, convection transfers heat by the actual BULK, BODILY movement of heated (energised) mo…

7.9.2.1

Applications of Convection

Two everyday applications rely directly on convection. In heating (or cooling) a room, a heater (or convector) heats the air immediately around it; this heated air, now less dense, rises, while cooler…

7.9.2.2

Free and Forced Convection

When a hot body simply sits in contact with still air (say, air around a burning log), the air removes heat from it through spontaneously-arising currents -- this is FREE (or NATURAL) convection; land…

7.9.3

Radiation

Radiation is the transfer of heat energy from one place to another by the EMISSION of electromagnetic (EM) waves -- travelling in straight lines at the speed of light, -- WITHOUT heating whatever lies…

7.10

Newton's Laws of Cooling

If a vessel of hot water is left on a table, it gradually cools. Newton was the first to systematically study how the rate at which a body loses heat to its surroundings depends on its temperature, in…

More questions

38 Q
+Show 6 questions6 questions
  1. Q1Range of temperature in a clinical thermometer, which measures the temperature of human body, is (A) 70 ºC to 100 ºC (B) 34 ºC to 42 ºC (C)…Free
  2. Q2A glass bottle completely filled with water is kept in the freezer. Why does it crack? (A) Bottle gets contracted (B) Bottle is expanded (C)…Free
  3. Q3If two temperatures differ by 25 °C on Celsius scale, the difference in temperature on Fahrenheit scale is (A) 65° (B) 45° (C) 38° (D) 25°Preview
  4. Q4If α, β and γ are coefficients of linear, areal and volume expansion of a solid then (A) α:β:γ = 1:3:2 (B) α:β:γ = 1:2:3 (C) α:β:γ = 2:3:1 (…Preview
  5. Q5Consider the following statements: (I) The coefficient of linear expansion has dimension K⁻¹ (II) The coefficient of volume expansion has di…Preview
  6. Q6Water falls from a height of 200 m. What is the difference in temperature between the water at the top and bottom of a water fall given that…Preview
+Show 17 questions17 questions
  1. Q7Clearly state the difference between heat and temperature.Free
  2. Q8How is a thermometer calibrated?Free
  3. Q9What are the different scales of temperature? What is the relation between them?Free
  4. Q10What is absolute zero?Preview
  5. Q11Derive the relation between the three coefficients of thermal expansion.Preview
  6. Q12State applications of thermal expansion.Preview
  7. Q13Why do we generally consider two specific heats for a gas?Preview
  8. Q14Are freezing point and melting point the same with respect to change of state? Comment.Preview
  9. Q15Define (i) Sublimation (ii) Triple point.Preview
  10. Q16Explain the term 'steady state'.Preview
  11. Q17Define coefficient of thermal conductivity. Derive its expression.Preview
  12. Q18Give any four applications of thermal conductivity in everyday life.Preview
  13. Q19Explain the term thermal resistance. State its SI unit and dimensions.Preview
  14. Q20How does heat transfer occur through radiation in the absence of a medium?Preview
  15. Q21State Newton's law of cooling and explain how it can be experimentally verified.Preview
  16. Q22What is thermal stress? Give an example of the disadvantages of thermal stress in practical use.Preview
  17. Q23Which materials can be used as thermal insulators and why?Preview
+Show 15 questions15 questions
  1. Q24A glass flask has volume 1×10⁻⁴ m³. It is filled with a liquid at 30 ºC. If the temperature of the system is raised to 100 ºC, how much of t…Free
  2. Q25Which will require more energy: heating a 2.0 kg block of lead by 30 K or heating a 4.0 kg block of copper by 5 K? (s(lead) = 128 J kg⁻¹ K⁻¹…Free
  3. Q26Specific latent heat of vaporization of water is 2.26 × 10⁶ J/kg. Calculate the energy needed to change 5.0 g of water into steam at 100 ºC.Free
  4. Q27A metal sphere cools at the rate of 0.05 ºC/s when its temperature is 70 ºC and at the rate of 0.025 ºC/s when its temperature is 50 ºC. Det…Preview
  5. Q28The volume of a gas varies linearly with absolute temperature if its pressure is held constant. Suppose the gas does not liquefy even at ver…Preview
  6. Q29In olden days, while laying the rails for trains, small gaps used to be left between the rail sections to allow for thermal expansion. Suppo…Preview
  7. Q30A blacksmith fixes an iron ring on the rim of the wooden wheel of a bullock cart. The diameter of the wooden rim and the iron ring are 1.5 m…Preview
  8. Q31In a random temperature scale X, water boils at 200 °X and freezes at 20 °X. Find the boiling point of a liquid in this scale if it boils at…Preview
  9. Q32A gas at 900°C is cooled until both its pressure and volume are halved. Calculate its final temperature.Preview
  10. Q33An aluminium rod and an iron rod show a 1.5 m difference in their lengths at all temperatures. What are their lengths at 0 °C if the coeffic…Preview
  11. Q34What is the specific heat of a metal if 50 cal of heat is needed to raise the temperature of 6 kg of the metal from 20°C to 62 °C?Preview
  12. Q35The rate of flow of heat through a copper rod with temperature difference 30 °C is 1500 cal/s. Find the thermal resistance of the copper rod…Preview
  13. Q36An electric kettle takes 20 minutes to heat a certain quantity of water from 0°C to its boiling point. It requires 90 minutes to turn all th…Preview
  14. Q37Find the temperature difference between the two sides of a steel plate 4 cm thick, when heat is transmitted through the plate at the rate of…Preview
  15. Q38A metal sphere cools from 80 °C to 60 °C in 6 min. How much time will it take to cool from 60 °C to 40 °C if the room temperature is 30°C?Preview