📘 Complete Chapter Notes (Thermal Properties of Matter)
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Introduction to Thermal Properties of Matter
The thermal properties of matter describe how materials respond to changes in temperature and how they transfer heat energy.
When we feel the warmth of the sun, use a thermometer to check our body temperature, or observe ice melting into water, we're experiencing the thermal properties of matter. This chapter explores the particle structure of matter, temperature measurement, heat transfer, and the behavior of materials at different temperatures.
Key Concepts Covered
- Particle structure of solids, liquids, and gases
- Plasma as the fourth state of matter
- Temperature and its measurement
- Heat as energy in transit
- Internal energy of substances
- Thermometers and thermometric properties
- Temperature scales (Celsius, Fahrenheit, Kelvin)
- Absolute zero and its significance
- Thermocouple thermometers
- Sensitivity, range, and linearity of thermometers
Important Definitions
Kinetic Molecular Theory: A theory that explains the behavior of matter in terms of particles in motion. According to this theory, matter is composed of very small particles called molecules, which are always in motion.
Intermolecular Forces: Mutual forces of attraction between molecules that depend on the distance between molecules and decrease as the distance increases.
Temperature: The degree of hotness or coldness of a body. It determines the direction of flow of thermal energy.
Heat: Energy in transit that is transferred from one object to another due to the difference of temperature between the two bodies.
Internal Energy: The sum of kinetic and potential energies of the molecules of an object.
Thermometer: An instrument used for the exact measurement of the hotness or temperature of a substance.
Thermometric Property: A physical property of a substance that changes with temperature and is used in the construction of thermometers.
Absolute Zero: The temperature at which molecular motion ceases, and the average kinetic energy of particles becomes zero. It is the lowest possible temperature in the universe.
Plasma: A gas in which most of the atoms are ionized, containing positive ions and electrons. It is considered the fourth state of matter.
Key Formulas
Relationship between Celsius and Fahrenheit
\[T_F = \frac{9}{5} T_c + 32\]Where \( T_F \) is temperature in Fahrenheit and \( T_c \) is temperature in Celsius
Relationship between Fahrenheit and Celsius
\[T_c = \frac{5}{9} (T_F - 32)\]Where \( T_c \) is temperature in Celsius and \( T_F \) is temperature in Fahrenheit
Relationship between Kelvin and Celsius
\[T_K = T_c + 273\]Where \( T_K \) is temperature in Kelvin and \( T_c \) is temperature in Celsius
Detailed Chapter Content
1. Particle Structure of Solids, Liquids and Gases
According to the kinetic molecular theory, matter is composed of very small particles called molecules, which are always in motion. Their motion may be vibrational, rotational, or linear.
A mutual force of attraction called intermolecular force exists between the molecules. This force depends on the distance between molecules and decreases as the distance increases.
Molecules possess kinetic energy due to their motion and potential energy due to intermolecular forces. When a substance is heated, its temperature increases and the molecular motion becomes more vigorous, increasing the kinetic energy. Thus, the temperature of a substance depends on the average kinetic energy of its molecules.
2. States of Matter
In general, matter exists in three states: solids, liquids, and gases.
Solids: In solids, the intermolecular forces are very strong, so molecules are held at fixed positions, showing only vibrational motion. That is why solids have a definite shape and volume.
Liquids: In liquids, the intermolecular forces are weaker, allowing molecules to slide over each other in random directions. Therefore, liquids have a definite volume but no definite shape, and take the shape of the container.
Gases: In gases, the molecules are far apart and the intermolecular forces are very weak. Gas molecules move freely in all directions, so a gas has no definite shape or volume.
3. Plasma as the Fourth State of Matter
Plasma is a gas in which most of the atoms are ionized, containing positive ions and electrons. These particles move freely within the volume of the gas.
Because of the presence of these charged particles, plasma is a conducting state of matter, allowing electric current to pass through it. Since the gas in the plasma state shows properties very different from those of an ordinary gas, plasma is known as the fourth state of matter.
Examples of plasma include:
- The Sun and most other stars, which are in the plasma state
- Plasma TVs and gas discharge tubes, which produce plasma when electric current passes through them
- The early stage of lightning formation, known as lightning streamers, occurs due to ionized air molecules creating conducting paths through the atmosphere
4. Temperature and Heat
Temperature of a body is defined as the degree of its hotness or coldness. Temperature can be defined as a physical quantity which determines the direction of flow of thermal energy.
Heat is the energy which is transferred from one object to another due to the difference of temperature between the two bodies. Heat always flows from a body at higher temperature to one at lower temperature.
The sum of kinetic and potential energies of the molecules of an object is called its internal energy.
5. Thermometers and Thermometric Properties
A thermometer is an instrument used for the exact measurement of the hotness or temperature of a substance. Thermometers use some property of a substance, which changes appreciably with the change of temperature.
A thermometric property is a physical property of a substance that changes with temperature and is used in the construction of thermometers. Some thermometric properties are:
- It is a good conductor of heat
- It gives quick response to temperature changes
- It has uniform thermal expansion
- It has high boiling point
- It has low freezing point
- It has large expansivity (low specific heat capacity)
- It does not wet glass
- It does not vapourize
- It is visible
6. Liquid-in-Glass Thermometer
Liquids expand on heating. So, expansion in the volume of a liquid can be used for the measurement of temperature. This is known as a liquid-in-glass thermometer.
Mercury is commonly used in thermometers. It is opaque and easily seen due to its silvery colour. The thermometer is made of glass with a bulb at one end filled with mercury.
When the temperature rises, the mercury expands and moves up through the narrow capillary tube in the form of a mercury thread. The position of the end of the thread reads the temperature.
Alcohol can also be used, but it must be coloured to make it visible.
7. Fixed Points in Temperature Measurement
For the measurement of temperature, two reference temperatures called fixed points are required:
- Upper fixed point: This is the steam point, slightly above the boiling point of water at standard atmospheric pressure
- Lower fixed point: This is the melting point of pure ice, also known as the ice point
8. Temperature Scales
The three main types of temperature scales are:
Celsius (Centigrade) scale:
- Lower fixed point: 0°C
- Upper fixed point: 100°C
- The scale is divided into 100 equal parts, each part representing 1°C
Fahrenheit scale:
- Lower fixed point: 32°F
- Upper fixed point: 212°F
- The scale is divided into 180 equal parts, each part representing 1°F
Kelvin scale (Absolute temperature scale):
- Lower fixed point: 273 K
- Upper fixed point: 373 K
- The scale is divided into 100 equal parts, with each part representing 1 K, equivalent to 1°C
9. Absolute Zero and Kelvin Scale
Absolute zero is the temperature at which molecular motion ceases, and the average kinetic energy of particles becomes zero. On the Kelvin scale, it is defined as 0 K, which is equivalent to \(-273.15^\circ C\) (rounded to \(-273^\circ C\) for calculations). It is the lowest possible temperature in the universe.
There are no negative numbers on the Kelvin scale because temperature cannot be lower than absolute zero.
10. Thermocouple Thermometer
Thermocouple thermometer is based on the flow of electric current between two junctions of two wires of different materials due to difference of temperatures at the junctions.
This type of thermometer consists of two wires of different materials, such as copper and iron. Their ends are joined together to form two junctions.
If the two junctions are at different temperatures, a small current flows across them. This current is due to the potential difference produced across the two junctions, as the wires have different resistance to the flow of current.
The greater the temperature difference, the greater the potential difference. If one junction is kept at a fixed lower temperature (e.g., in an ice bath at 0°C), the temperature of the other junction can be measured using a millivolt meter with a calibrated scale.
It is useful for very high temperatures and rapidly changing temperatures, as there is only a small mass of metal (the junction) to heat up.
11. Sensitivity, Range and Linearity of Thermometers
A thermometer is evaluated by its three key characteristics that are sensitivity, range and linearity. They help determine the suitability of the thermometer for specific use ensuring accurate and reliable measurement of temperature.
Sensitivity: Sensitivity of a thermometer refers to its ability to detect small changes in the temperature of an object. For example, a thermometer with marks 0.1°C apart is more sensitive than one with marks 1°C apart.
Range: This refers to the span of temperature, from low to high, over which the thermometer can measure accurately. For example, a clinical thermometer has a narrow range (35°C to 45°C), while a laboratory thermometer has a wider range (-10°C to 110°C).
Linearity: This refers to a direct proportional relationship between the temperature and scale reading across the entire range of measurement. A good linear thermometer should measure equal increments on the scale corresponding to equal change in the temperature.
12. Improving Thermometer Parameters
A liquid-in-glass thermometer has a narrow and uniform capillary tube having a small bulb filled with mercury or alcohol at its lower end. The thin wall of the glass bulb allows quick conduction through glass to the liquid from a hot object whose temperature is to be measured.
Sensitivity: Mercury being metal is a good conductor and hence responds quickly to the change in temperature. The small amount of liquid also responds more quickly to a change in temperature. For greater accuracy, alcohol can be used as its expansivity is six times more than mercury, but it has range limitation to higher temperature measurements due to its low boiling point (78°C).
Linearity: The uniformity of the narrow tube or bore ensures even expansion of the liquid required to make the linear measuring scale.
Range: The choice of mercury allows to use it over a long-range temperature due to its low freezing point and high boiling point.
Daily Life Applications
Temperature Measurement
- Clinical thermometers: Used to measure human body temperature with high sensitivity
- Laboratory thermometers: Used in scientific experiments with wider temperature range
- Oven thermometers: Used to measure high temperatures in cooking
- Weather thermometers: Used to measure atmospheric temperature
Plasma Applications
- Plasma TVs: Use plasma technology to create images
- Fluorescent lamps: Contain plasma that emits light when electric current passes through
- Stars: Including our Sun, are in plasma state
- Lightning: Early stage involves plasma formation
Comparison Tables
States of Matter
Temperature Scales
Sample Problems
Given:
Convert 37°C to Fahrenheit and Kelvin scales.
Solution:
To Fahrenheit: \( T_F = \frac{9}{5} T_c + 32 = \frac{9}{5} \times 37 + 32 = 66.6 + 32 = 98.6^\circ F \)
To Kelvin: \( T_K = T_c + 273 = 37 + 273 = 310 K \)
37°C is equal to 98.6°F and 310 K.
Given:
Convert 68°F to Celsius scale.
Solution:
\( T_c = \frac{5}{9} (T_F - 32) = \frac{5}{9} (68 - 32) = \frac{5}{9} \times 36 = 20^\circ C \)
68°F is equal to 20°C.
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