Physics Chapter 1: Thermometry and Thermal Expansion
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Questions and Answers

What is the primary limitation of a mercury thermometer?

  • It is inaccurate at room temperature.
  • It cannot be used with gas.
  • It cannot function below the freezing point of mercury, which is −39°C. (correct)
  • It cannot measure temperatures above 100°C.

Which of the following thermometers is suggested as a solution to overcome the limitations of traditional thermometers?

  • Alcohol thermometer
  • Gas thermometer (correct)
  • Mercury thermometer
  • Digital thermometer

What physical principle does the constant-volume gas thermometer rely on?

  • The variation of pressure of gas at constant volume with temperature. (correct)
  • The expansion of liquids with temperature.
  • The change in density of solids with heat.
  • The conversion of thermal energy into work.

How was the gas thermometer initially calibrated?

<p>Using the ice and steam points of water. (C)</p> Signup and view all the answers

During calibration, what does the height difference between the mercury levels in reservoirs indicate?

<p>The pressure of the gas in the flask. (B)</p> Signup and view all the answers

What feature is essential for a constant-volume gas thermometer to function correctly?

<p>Constant volume of gas throughout the measurement. (C)</p> Signup and view all the answers

What is indicated by the calibration curve created from the pressure and temperature values?

<p>The relationship between pressure and temperature for unknown temperatures. (C)</p> Signup and view all the answers

What is the boiling point of alcohol, making it unsuitable for certain measurements?

<p>85°C (B)</p> Signup and view all the answers

What is the relationship between the Celsius and Fahrenheit temperature scales?

<p>TF = 9/5 TC + 32 (D)</p> Signup and view all the answers

Which statement is true about the Kelvin scale compared to Celsius and Fahrenheit?

<p>It has no negative values. (A)</p> Signup and view all the answers

At what temperature do Celsius and Fahrenheit scales show the same reading?

<p>-40°C (B)</p> Signup and view all the answers

If a change in temperature is measured in Celsius, what is the correct approach to use when dealing with equations involving absolute temperature?

<p>Always convert to Kelvin for accuracy. (B)</p> Signup and view all the answers

What is the freezing point of water on the Rankin scale?

<p>491.67 R (B)</p> Signup and view all the answers

What is the equation used to find the relationship between changes in temperature on Celsius, Kelvin, and Fahrenheit scales?

<p>ΔTC = ΔTF (C)</p> Signup and view all the answers

How is the boiling point of water expressed on the Kelvin scale?

<p>373 K (A)</p> Signup and view all the answers

What is the relationship between the temperature readings on the Celsius and Rankin scales when calibrated in a bath of fixed temperature?

<p>Celsius is related to Rankin through the freezing point of water. (D)</p> Signup and view all the answers

Which physical property is primarily used in the functioning of a common thermometer?

<p>The volume of a liquid (A)</p> Signup and view all the answers

What temperature is defined as the ice point of water on the Celsius scale?

<p>0°C (B)</p> Signup and view all the answers

Why might there be discrepancies between different types of thermometers at temperatures away from the calibration points?

<p>Different thermal expansion properties of the liquids used (C)</p> Signup and view all the answers

What is the significance of dividing the length of the liquid column into 100 segments in the Celsius scale?

<p>Each segment denotes a temperature change of one Celsius degree (D)</p> Signup and view all the answers

Which natural system is used for calibrating thermometers at the freezing point?

<p>Water and ice mixture at atmospheric pressure (B)</p> Signup and view all the answers

What is the equivalent temperature in Kelvin when the temperature is -183°C?

<p>90 K (B)</p> Signup and view all the answers

At what temperature do the Celsius and Fahrenheit scales coincide?

<p>-40°C (C)</p> Signup and view all the answers

What happens to the mercury in a thermometer when it is heated?

<p>It expands and rises in the capillary tube. (A)</p> Signup and view all the answers

Which temperature is defined as the steam point of water on the Celsius scale?

<p>100°C (A)</p> Signup and view all the answers

For the temperature of the surface of the sun, what is the Rankine equivalent of 6500°C?

<p>12192 Rankine (C)</p> Signup and view all the answers

What is the temperature in degrees Celsius when the temperature is 50°F?

<p>10°C (B)</p> Signup and view all the answers

What physical property is least likely to change significantly with temperature?

<p>The distance between particles in a solid (C)</p> Signup and view all the answers

What is the correct difference in temperature when warming water from 25°C to 80°C on the Kelvin scale?

<p>55 K (A)</p> Signup and view all the answers

Which statement about the relationship between Celsius and Kelvin temperature scales is accurate?

<p>Celsius temperature can be converted to Kelvin by adding 273.15. (C)</p> Signup and view all the answers

Which of the following pairs represents two materials, one of which is twice as hot as the other?

<p>none of the pairs represent this relationship (D)</p> Signup and view all the answers

What is the equivalent temperature in Rankine when the boiling point of liquid oxygen is -183°C?

<p>162 Rankine (D)</p> Signup and view all the answers

What is the equivalent change in temperature from Celsius to Kelvin for a temperature change of 55 degrees Celsius?

<p>55 K (D)</p> Signup and view all the answers

From the equations provided, which constant can be neglected when calculating the resistance of the platinum wire?

<p>β (B)</p> Signup and view all the answers

How is the resistance at the boiling point of water represented in the equations?

<p>Rt = R0(1 + α100) (A)</p> Signup and view all the answers

In the equation Rt = R0(1 + αt), what does 't' represent?

<p>Temperature in Celsius (B)</p> Signup and view all the answers

What is the relationship established in the equation Rt - R0 = R0αt?

<p>It defines the change in resistance related to temperature. (A)</p> Signup and view all the answers

Which apparatus is specifically modified to measure the change in resistance with temperature?

<p>Calendar and Griffiths bridge (B)</p> Signup and view all the answers

What is the purpose of connecting the platinum wire in one of the arms of the bridge in a Calendar and Griffiths bridge?

<p>To calculate the change in resistance. (D)</p> Signup and view all the answers

In the context of the resistance of a wire, what does 'S' stand for in the equation S = R/L?

<p>Resistance per unit length (A)</p> Signup and view all the answers

What causes the surfaces of roadways on bridges to buckle on hot days?

<p>Thermal expansion (C)</p> Signup and view all the answers

In the context of thermal expansion, what does the average coefficient of linear expansion (α) represent?

<p>The change in length per unit length for each degree change in temperature (C)</p> Signup and view all the answers

Which of the following equations represents the relationship of linear expansion with respect to temperature change?

<p>$ΔL = αLiΔT$ (C)</p> Signup and view all the answers

What can result from the lack of thermal expansion joints in a structure?

<p>Deformation and buckling (C)</p> Signup and view all the answers

If an object has an initial length $Li$ and experiences a temperature change of $ΔT$, which expression defines the change in length?

<p>$ΔL = αLiΔT$ (B)</p> Signup and view all the answers

How does the expansion of a cavity in a solid material during thermal expansion behave?

<p>It expands in the same way as the surrounding material (D)</p> Signup and view all the answers

What happens to the dimensions of a homogeneous metal washer when it is heated?

<p>All dimensions, including the radius of the hole, increase (C)</p> Signup and view all the answers

In the equation $Lf - Li = αLi(Tf - Ti)$, what do $Tf$ and $Ti$ represent?

<p>The initial and final temperatures (A)</p> Signup and view all the answers

Flashcards

What are some physical properties that change with temperature?

The change in the volume of a liquid, the dimensions of a solid, or the pressure of a gas at constant volume. Also, the electric resistance of a conductor and the color of an object can change with temperature.

How is a temperature scale established?

A temperature scale is created by relating changes in a physical property to changes in temperature. For example, a thermometer uses the expansion of mercury.

How does a liquid-in-glass thermometer work?

A common thermometer uses the expansion of a liquid, like mercury or alcohol, in a glass capillary tube. This expansion is proportional to the temperature change.

What is the ice point of water on the Celsius scale?

The ice point of water is 0°C, defined as the temperature of a mixture of water and ice in thermal equilibrium at atmospheric pressure.

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What is the steam point of water on the Celsius scale?

The steam point of water is 100°C, defined as the temperature of a mixture of water and steam in thermal equilibrium at atmospheric pressure.

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How is the Celsius scale calibrated?

The Celsius scale is created by dividing the length of the liquid column between the ice point and the steam point into 100 equal segments, where each segment represents one Celsius degree.

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为什么不同类型的温度计在相同温度下显示不同的读数?

不同物质的热膨胀特性不同,例如汞和酒精,这会导致不同类型的温度计在相同温度下显示略微不同的读数。

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温度计的读数误差在什么情况下会更大?

温度计的读数误差在远离校准点的温度下会更大。

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Constant-Volume Gas Thermometer

A device used to measure temperature. It works by exploiting the change in pressure of a fixed volume of gas with temperature.

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Absolute Zero

The temperature at which the gas in a constant-volume thermometer exerts no pressure.

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Kelvin Scale

A temperature scale where absolute zero is defined as 0 kelvins, and the size of a degree is the same as a degree Celsius.

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Celsius Scale

A temperature scale where the freezing point of water is defined as 0 degrees Celsius, and the boiling point of water is defined as 100 degrees Celsius.

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Pressure-Temperature Relationship

The change in pressure of a fixed volume of gas with temperature.

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Ice Point and Steam Point

The two reference points used to calibrate a constant-volume gas thermometer.

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Calibration

The process of determining the relationship between the measured value of a physical quantity and its true value.

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Calibration Curve

A method of establishing the relationship between temperature and pressure in a constant-volume gas thermometer.

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What is the Kelvin scale?

Kelvin (K) is an absolute temperature scale where 0 K is the absolute zero, the lowest possible temperature. It is the standard unit of temperature in science.

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What is the Rankine scale?

Rankine (°R) is another absolute temperature scale, closely related to Fahrenheit. It is used in some engineering applications.

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How do you convert Celsius to Kelvin and Rankine?

To convert Celsius (°C) to Kelvin (K), add 273.15. To convert Celsius (°C) to Rankine (°R), multiply by 9/5 and then add 491.67.

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What is the normal boiling point of a substance?

The normal boiling point of a substance is the temperature at which it changes from liquid to gas at standard atmospheric pressure.

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At what temperature do Kelvin and Fahrenheit scales coincide?

The temperature at which the Kelvin and Fahrenheit scales coincide is -459.67°F, which corresponds to 0 K.

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At what temperature do Celsius and Fahrenheit scales coincide?

The temperature at which the Celsius and Fahrenheit scales coincide is -40°.

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What is the temperature of the surface of the sun?

The temperature of the surface of the sun is 6000°C, which is about 5773 Kelvin and 10832 Rankine.

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What does temperature represent?

The temperature of an object represents the average kinetic energy of its particles.

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Temperature Change Relationship

The change in temperature on the Celsius scale is equal to the change on the Kelvin scale.

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Fahrenheit Temperature Change

The change in temperature on the Fahrenheit scale is 9/5 times the change on the Celsius scale.

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Platinum Resistance Thermometer

A platinum resistance thermometer measures temperature based on the change in resistance of a platinum wire with temperature.

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Resistance vs Temperature Formula

The resistance of a platinum wire at a specific temperature is related to its resistance at 0°C by a formula, involving constants α and β, where α is the temperature coefficient of resistance.

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Platinum Resistance Thermometer Measurement

The platinum resistance thermometer uses the change in resistance of a platinum wire, measured by a modified Wheatstone bridge called the Calendar and Griffith Bridge.

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Calendar and Griffith Bridge

The Calendar and Griffith Bridge is a modified Wheatstone bridge used to precisely measure the resistance of the platinum wire in a platinum resistance thermometer.

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Calendar and Griffith Bridge Components

In a Calendar and Griffith Bridge, two resistances of equal value (R1 and R2) are connected in series with a standard fractional resistance box (r) and the platinum wire, creating a Wheatstone bridge configuration.

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Bridge Wire Resistance

The resistance per unit length of the bridge wire (S) is calculated as the total resistance (R) divided by its length (L).

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Fahrenheit Scale

A temperature scale where the freezing point of water is 32°F and the boiling point of water is 212°F.

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Celsius to Fahrenheit Conversion

The relationship between Celsius (TC) and Fahrenheit (TF) temperatures given by the equation: TF = (9/5) * TC + 32°F.

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Change in Temperature Relationship

The relationship between changes in Celsius (ΔTC), Kelvin (ΔT), and Fahrenheit (ΔTF) temperatures given by the equation: ΔTC = (5/9) * ΔTF.

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Kelvin Scale and Absolute Zero

The temperature scale based on absolute zero, where 0 Kelvin is the lowest possible temperature. All temperatures are positive.

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Temperature Scales Conversion

The relationship between the Kelvin (T), Celsius (TC), and Fahrenheit (TF) temperature scales using the following equations: T = TC + 273.15 and TF = (9/5) * TC + 32°F.

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Coefficient of linear expansion

The change in length of a material per degree Celsius of temperature change.

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Thermal expansion

The increase in length of an object due to a temperature increase.

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Thermal Expansion Joint

A joint used in structures like bridges and buildings to accommodate the expansion and contraction of materials due to temperature changes.

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Thermal Expansion of Materials

A physical property of matter that describes how much its volume changes with temperature.

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Linear thermal expansion

The expansion of a material is proportional to the initial length and the temperature change.

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Final Length after Expansion

The final length of a material after thermal expansion is equal to the initial length plus the change in length.

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Temperature Change and Linear Expansion

The change in length of a material due to thermal expansion is directly proportional to the temperature change.

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Thermal Expansion and Thermometers

The expansion of a material can be used to measure temperature, as in a thermometer.

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Study Notes

Chapter 1: Thermometry and Thermal Expansion

  • Temperature: Subjective feeling of hot or cold; unreliable. Quantitative measurement needed for accurate temperature determination.
  • Thermometers: Devices for measuring relative hotness/coldness of objects. Different physical properties of a substance change with temperature, allowing for measurement.
  • Zeroth Law of Thermodynamics: If objects A and B are separately in thermal equilibrium with a third object C, then A and B are in thermal equilibrium with each other. This defines temperature.
  • Thermal Contact: Objects interacting with each other but not the environment.
  • Thermal Equilibrium: No exchange of energy by heat or radiation if objects are in thermal contact.
  • Temperature Scales: Celsius, Fahrenheit, and Kelvin scales. Key points are ice point and steam point for water.
  • Kelvin Scale: Based on absolute zero; degree size identical to Celsius. Conversion T = Tc+273.15
  • Celsius Scale: 0°C is the ice point and 100°C is the steam point of water. Conversion: Tc = T – 273.15
  • Fahrenheit Scale: 32°F is the ice point and 212°F is the steam point of water
  • Thermometer types: Liquid-in-glass, constant-volume gas, and others (platinum resistance thermometer). Properties may include changes in volume of liquid, dimensions of solids , pressure of a gas at constant volume ,etc.
  • Thermal Expansion: Change in the dimensions of a substance with temperature, due to atomic vibrations. This affects solids, liquids, and gases. Coeffient of linear (a) and volume expansion (β) are used in calculations.
  • Bimetallic Strips: Two metals with different expansion coefficients bonded together. Used in thermostats. Materials can bend in response to changes in temperature.
  • Ideal gas law: PV=nRT. Relationship between pressure, volume, temperature, and number of moles.

Constant-Volume Gas Thermometer

  • Constant Volume Gas Thermometers: The constant-volume gas thermometer is more accurate than other thermometers, as measurements are independent of the substance.
  • Zero Point: -273.15 °C, representing the absence of molecular motion, considered absolute zero, corresponding to 0 K on the Kelvin scale.

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Explore the fundamental concepts of thermometry and thermal expansion in this quiz. Understand the principles behind temperature measurement, thermometers, and the Zeroth Law of Thermodynamics, as well as the different temperature scales. Test your knowledge on thermal contact and equilibrium.

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