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CIE A-Level Physics Notes

14.2.1 Physical Properties for Temperature Measurement

Physical Properties Influencing Temperature Measurement

The measurement of temperature relies on the identification of specific physical properties that change with temperature. These include:

1. Density of Liquids: The density of a liquid, defined as its mass per unit volume, changes with temperature. As most liquids are heated, they expand, resulting in a decrease in density. This principle is fundamental in the operation of liquid-in-glass thermometers.

  • Liquid-in-Glass Thermometers: Utilising liquids such as mercury or coloured alcohol, these thermometers measure temperature based on the thermal expansion of the liquid. As the liquid's temperature rises, it expands and ascends in the marked glass tube, providing a temperature reading.
Image showing a Liquid-in-glass thermometer

Liquid-in-glass thermometer

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2. Volume of Gases at Constant Pressure: Gases expand when heated, provided the pressure remains constant. This property is described by Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin).

  • Gas Thermometers: These devices contain a known quantity of gas, like helium or nitrogen. Changes in the gas volume with temperature variations are measured to determine the temperature. Gas thermometers are highly sensitive and accurate, suitable for precise scientific measurements.
Diagram showing gas thermometer

Gas thermometer

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3. Resistance of Metals: Metals exhibit changes in electrical resistance when exposed to different temperatures. This change in resistance is predictable and measurable, making it useful for temperature measurements.

  • Resistance Temperature Detectors (RTDs): These devices use metals like platinum, whose resistance increases predictably with temperature. They are preferred for their accuracy and stability across a range of temperatures.
  • Thermocouples: Comprising two different metals joined at one end, thermocouples generate a voltage at the junction that varies with temperature. The voltage difference is then used to calculate the temperature.
Diagram showing a thermocouple

Thermocouple

Image Courtesy IQS Directory

Detailed Exploration of Physical Properties

Density of Liquids

Liquids tend to have a unique molecular structure and intermolecular forces, which are affected by temperature changes. As the temperature increases, the kinetic energy of the molecules increases, weakening the intermolecular forces. This leads to an increase in the space between molecules, thus reducing the density. In a thermometer, this change in density causes the liquid to rise or fall in the tube, correlating with temperature changes.

Volume of Gases at Constant Pressure

When a gas is heated, the kinetic energy of its molecules increases, causing them to move more vigorously and occupy more space. This results in an expansion of the gas, assuming the pressure is kept constant. Gas thermometers exploit this property by enclosing a gas in a fixed-volume chamber or a chamber with a movable piston. The change in volume or the movement of the piston, due to temperature variations, provides a measure of the temperature.

Resistance of Metals

Metals, when heated, experience an increase in the vibrational energy of their atoms. This increased vibration disrupts the flow of electrons, causing an increase in electrical resistance. In devices like RTDs and thermocouples, this change in resistance or the voltage generated at the junction of two different metals is carefully calibrated against temperature scales to provide accurate temperature readings.

Application and Utility of Temperature Measurement Devices

Liquid-in-Glass Thermometers

Commonly used in medical, laboratory, and meteorological settings, these thermometers are simple to use and provide reliable readings for a limited range of temperatures. They are less suited for extremely high or low temperatures and where high precision is required.

Gas Thermometers

Though not widely used in everyday applications, gas thermometers are invaluable in research and industrial settings for their high accuracy. They are particularly useful in controlled environments where precise temperature measurements are essential.

Resistance Temperature Detectors

RTDs find extensive use in industrial contexts where precise and stable temperature measurements are critical. They are commonly employed in processes like food production, chemical processing, and in the monitoring and control of heating, ventilation, and air conditioning systems.

Diagram showing Resistance thermometers

Resistance thermometers

Image Courtesy Billy Huang

Thermocouples

These are versatile instruments used across various industries. Their ability to measure a wide range of temperatures and their durability in harsh conditions make them ideal for use in extreme environments, such as in high-temperature industrial processes.

In-Depth Analysis of Device Functionality

Liquid-in-Glass Thermometers

  • Construction and Functioning: These thermometers consist of a narrow glass tube with a liquid reservoir at one end. As temperature changes, the liquid expands or contracts and moves along the scale marked on the tube, indicating the temperature.
  • Types of Liquids Used: Traditionally, mercury was used due to its uniform expansion and non-stickiness to glass. However, due to its toxicity, alcohol with a colour additive is now commonly used.
  • Limitations: Their accuracy is limited by the linear expansion properties of the liquid and the glass. They are also prone to breakage and are not suitable for high-temperature measurements.

Gas Thermometers

  • Design Variants: There are two main types of gas thermometers - constant volume and constant pressure. Constant volume types maintain a fixed amount of gas, measuring temperature through pressure changes. Constant pressure types keep the pressure constant, measuring temperature through changes in volume.
  • Advantages and Limitations: These thermometers offer high precision but are bulky and sensitive to external pressure changes, limiting their practicality for everyday use.

Resistance Temperature Detectors

  • Material Selection: Platinum is commonly used due to its stable resistance-temperature relationship and resistance to oxidation. Nickel and copper are also used for specific applications.
  • Calibration and Accuracy: RTDs are calibrated against standard temperature scales. They provide highly accurate readings within their operating range but are more expensive than other temperature measurement devices.

Thermocouples

  • Principle of Operation: The Seebeck effect is the basis for thermocouple operation, where a voltage is generated at the junction of two dissimilar metals when exposed to a temperature gradient.
  • Material Choices and Range: Different combinations of metals are used to create thermocouples, each suited for different temperature ranges and environments. For example, Type K (Chromel-Alumel) thermocouples are widely used for general purposes.

FAQ

The viscosity of liquids in thermometers is significantly affected by temperature. Viscosity, the measure of a fluid's resistance to flow, decreases as temperature increases. At higher temperatures, the increased kinetic energy of the liquid molecules reduces the intermolecular forces, allowing the molecules to move more freely past each other. This reduction in intermolecular forces results in lower viscosity, making the liquid flow more easily. In the context of thermometers, this means that the liquid (like mercury or alcohol) will move more readily in the tube at higher temperatures, allowing for a quicker and possibly more sensitive response to temperature changes.

Thermocouples can measure extremely low temperatures, but this requires specific adaptations. For low-temperature applications, thermocouples are made from materials that remain conductive and continue to exhibit a measurable Seebeck effect at these temperatures. Types E, T, and C thermocouples are commonly used for low-temperature measurements. Type E (Chromel-Constantan) is suitable down to about -200°C, and Type T (Copper-Constantan) is used for temperatures as low as -250°C. Type C (Tungsten-Rhenium) can be used in cryogenic applications. Additionally, the junctions and wiring must be insulated and protected against environmental factors like moisture, which can affect readings at low temperatures.

Gas thermometers, while highly accurate, have several limitations compared to liquid-in-glass thermometers. Firstly, they are generally more complex and cumbersome, making them less suitable for everyday, casual use. Gas thermometers are also more sensitive to external pressure changes, which can affect accuracy. They require careful calibration and maintenance, as the gas may leak over time or react with the materials of the container. Additionally, gas thermometers are not as fast-responding as liquid-in-glass thermometers, making them less ideal for applications requiring rapid temperature measurements. Due to these factors, gas thermometers are primarily used in laboratory settings where high precision is necessary and the conditions are controlled.

Ambient temperature can significantly affect the accuracy of liquid-in-glass thermometers. If the ambient temperature is much different from the temperature being measured, it can cause errors in reading due to the expansion or contraction of the glass and the liquid at different rates. For instance, if the thermometer is used in a much hotter or colder environment than it was calibrated for, this can lead to incorrect readings. To mitigate this, liquid-in-glass thermometers should be calibrated and used within their specified temperature range. Also, using thermometers with a high thermal expansion coefficient liquid in a low expansion coefficient glass can minimize these effects. Additionally, allowing the thermometer to acclimate to the ambient temperature before use can help improve accuracy.

Platinum is preferred in Resistance Temperature Detectors (RTDs) primarily due to its stability and accuracy over a wide range of temperatures. Platinum has a predictable and consistent change in resistance as temperature varies, which is crucial for precise temperature measurements. It is also relatively inert and resistant to corrosion, ensuring longevity and reliability in various environments. Additionally, platinum's resistance is not significantly affected by aging or repeated thermal cycling, which means it maintains accuracy over time. These properties make platinum an ideal material for RTDs, especially in industrial and laboratory settings where precise and stable temperature measurements are essential.

Practice Questions

A glass thermometer filled with alcohol is placed in a hot environment. Describe the changes that occur in the thermometer and explain why these changes happen.

When the glass thermometer filled with alcohol is placed in a hot environment, the alcohol expands. This expansion is due to the increase in kinetic energy of the alcohol molecules as they absorb heat. As the kinetic energy increases, the molecules move more vigorously and occupy more space, leading to the expansion of the alcohol. This expansion causes the alcohol level in the glass tube to rise, which can be observed against the scale marked on the thermometer. The rising level correlates to the increase in temperature, enabling the measurement of the temperature of the environment.

Explain how a thermocouple can be used to measure high temperatures, and describe the principle behind its operation.

A thermocouple measures high temperatures by utilising the Seebeck effect. This effect occurs when two different metals or alloys are joined at one end and exposed to a temperature gradient. The temperature difference between the joined end (hot junction) and the other ends (cold junctions) generates a voltage, which is directly proportional to the temperature difference. In high-temperature environments, the hot junction of the thermocouple is exposed to the heat source, and this generates a voltage due to the temperature difference. The generated voltage is then measured and correlated to the temperature using calibration data, allowing for precise temperature measurements in high-temperature scenarios.

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