Thermal Properties of Matter Quiz

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Questions and Answers

What is the relationship between the coefficients of thermal expansion β, α, and γ?

  • α = β/2 = γ/3 (correct)
  • α = 2β = 3γ
  • α = γ/2 = β/3
  • α = β/3 = γ/2

The specific heat at constant pressure is less than that at constant volume.

False (B)

What is sublimation?

The change from solid state to vapor state without passing through the liquid state.

Thermal expansion is utilized in __________ for temperature measurement.

<p>thermometers</p> Signup and view all the answers

Match the application of thermal expansion with its description:

<p>Thermometers = Measure temperature using liquid expansion Removing tight lids = Loosening metal caps with heat Fit steel wheel on axle = Expanding wheel for easier fitting Specific heats of gas = Different heat requirements at constant conditions</p> Signup and view all the answers

Why do we consider two specific heats of a gas?

<p>Gas expansion requires additional heat (A)</p> Signup and view all the answers

Freezing point and melting point occur at different temperatures.

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

What happens to a steel wheel when heated before fitting onto an axle?

<p>The wheel expands and fits easily over the axle.</p> Signup and view all the answers

What is the cumulative measurement of heat in a system referred to as?

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

Thermal conductivity is independent of temperature.

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

What is absolute zero in Celsius?

<p>-273.15 °C</p> Signup and view all the answers

The SI unit of heat is the ______.

<p>joule</p> Signup and view all the answers

Match the coefficient of thermal expansion to its property:

<p>α = Linear expansion β = Area expansion γ = Volume expansion</p> Signup and view all the answers

Which of the following accurately describes the relation between the Celsius and Fahrenheit scales?

<p>T_F = 1.8T_C + 32 (B)</p> Signup and view all the answers

Heat is the same as temperature.

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

What is the primary use of a calorimeter?

<p>To measure heat transfer.</p> Signup and view all the answers

What is the unique condition called when all three states of matter coexist in equilibrium?

<p>Triple point (C)</p> Signup and view all the answers

In steady state condition, the temperature of every section of a rod remains variable over time.

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

What does the coefficient of thermal conductivity represent?

<p>It represents the quantity of heat that flows in one second between the opposite faces of a cube of side 1 m with a temperature difference of 1°C (or 1 K).</p> Signup and view all the answers

The _____ of a body is its opposition to the flow of heat through it.

<p>thermal resistance</p> Signup and view all the answers

Match the following applications of thermal conductivity with their descriptions:

<p>Cooking utensils = Made of metals with bad conductor handles Ice in sawdust = Melts slowly due to poor heat conduction Electric iron = Mica coating as a poor electrical conductor Cold storage walls = Constructed with bricks that are bad conductors of heat</p> Signup and view all the answers

Which factor does NOT affect the quantity of heat flowing in thermal conductivity?

<p>Material color (D)</p> Signup and view all the answers

Thermal conductivity is only dependent on the temperature difference between two faces.

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

Define the term 'steady state' in the context of heat conduction.

<p>A steady state occurs when the temperature at each section of a rod remains constant over time despite continued heat input.</p> Signup and view all the answers

Flashcards

Thermal Expansion Coefficient (α)

A material's change in length or volume per unit length or volume per degree Celsius of temperature change.

Relationship between α, β, and γ

How linear, surface, and volumetric expansion coefficients are related; α = β/2 = γ/3

Application of Thermal Expansion: Thermometers

Thermometers use thermal expansion of liquids (like mercury) to measure temperature.

Application of Thermal Expansion: Tight Lids

Heating a tight lid loosens it due to metal expansion.

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Specific Heat at Constant Pressure (Cp)

Heat required to raise the temperature of a substance by one degree Celsius when the pressure remains constant.

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Specific Heat at Constant Volume (Cv)

Heat needed to raise temperature by one degree Celsius when volume is fixed.

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Freezing Point/Melting Point

The temperature at which a liquid changes to a solid (or a solid to a liquid).

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Sublimation

The process where a solid changes directly into a gas without becoming a liquid.

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Triple point

The specific pressure and temperature where a substance exists in all three states of matter (solid, liquid, and gas) in equilibrium.

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Steady state

A condition where the temperature at each section of a material remains constant over time, even though heat is still being added.

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Coefficient of thermal conductivity

A measure of how well a material conducts heat, defined as the amount of heat flowing per unit time through a unit area with a unit temperature difference.

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Thermal resistance

The opposition a material offers to the flow of heat through it.

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What happens to a metal rod when one end is heated?

Heat flows from the hot end to the cold end through conduction. The temperature of each section increases, eventually reaching a 'steady state' where the temperature at each section remains constant, even though heat flow continues.

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What's the difference between the temperature of a rod in a steady state and a variable state?

In a variable state, the temperature of the rod keeps changing as the heat flows. In a steady state, the temperature of each section becomes constant, but it's not uniform throughout the rod.

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Why are cooking utensils provided with handles of bad conductors?

To prevent heat from traveling from the hot part of the utensil to the handle, preventing burns.

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Why do we use thick walls containing bricks in cold storage rooms?

Bricks are bad conductors of heat, so they help keep the cold air inside the room and prevent heat from the outside from entering.

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Heat vs. Temperature

Heat is the energy transfer due to temperature difference, while temperature measures the degree of hotness or coldness of an object.

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SI Units of Heat and Temperature

The SI unit of heat is the joule (J), while the SI unit of temperature is the Kelvin (K) or Celsius (°C).

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Dimensions of Heat and Temperature

The dimensions of heat are [L²M¹T⁻²] (length squared, mass, time to the power of -2), while the dimensions of temperature are [L⁰MTK⁻¹] (no length, mass, time, and Kelvin to the power of -1).

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How is a Thermometer Calibrated?

A thermometer is calibrated by: Selecting a standard temperature range, dividing it into sub-intervals ('degrees'), and assigning numerical values to the fixed points and divisions.

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Temperature Scales

Common temperature scales are Celsius (°C), Fahrenheit (°F), and Kelvin (K).

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Celsius and Fahrenheit Relationship

The relationship between Celsius (°C) and Fahrenheit (°F) is given by: (T_F - 32)/180 = (T_C - 0)/100

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Absolute Zero

Absolute zero is the theoretical temperature at which all molecular motion ceases, and a gas would have zero pressure. This temperature is -273.15 °C or 0 K.

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Relation Between Thermal Expansion Coefficients

The linear (α), surface (β), and volumetric (γ) expansion coefficients are related as: α = β/2 = γ/3.

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Study Notes

Thermal Properties of Matter

  • Heat vs. Temperature:
    • Heat is a form of energy transferred between a system and its surroundings due to temperature difference.
    • Temperature measures the degree of hotness of an object.
    • SI unit of heat is Joule (J).
    • SI unit of temperature is Kelvin (K) or Celsius (°C).
    • Dimensions of heat are [L²M¹T⁻²].
    • Dimensions of temperature are [L⁰M⁰T⁰Θ¹].
    • Heat is measured using a calorimeter.
    • Temperature is measured using a thermometer.

Thermometer Calibration

  • Standard temperature intervals are selected for calibration.
  • These intervals are easily reproducible.
  • The interval is then subdivided into degree intervals.
  • Numerical values are assigned to each interval/degree.

Scales of Temperature

  • Temperature scales include Celsius, Fahrenheit.
  • Relationships exist between these scales.
    • (TF - 32) / 180 = (Tc - 0) / 100

Absolute Zero

  • Absolute zero is the temperature at which a gas's pressure would be zero.
  • Absolute zero is -273.15 °C.

Thermal Expansion Coefficients

  • Relationships exist between coefficients of linear, surface, and volume expansion.
  • Linear expansion: 𝐿 = 𝐿₀ (1 + α𝑡) (Where L₀ is the initial length and α is the coefficient of linear expansion)
  • Surface expansion: 𝐴 = 𝐴₀ (1 + 2 α𝑡) (Where A₀ is the initial surface area)
  • Volume expansion: V = V₀ (1 + 3 α𝑡) (Where V₀ is the initial volume)

Applications of Thermal Expansion

  • Thermometers: Expansion of liquids (like mercury) measures temperature.
  • Removing tight lids: Heating expands the metal cap, making it easier to open.
  • Fitting steel wheels on axles: Expanding the wheel and cooling it locks it securely in place.

Specific Heats of Gases

  • Two specific heats are considered for gases: at constant pressure (Cp) and constant volume (Cv).
  • Cp is greater than Cv.
  • This is because at constant pressure, gas does work on surroundings requiring additional heat.

Freezing and Melting Points

  • Freezing point and melting point are the same temperature.
  • Freezing point is when liquid becomes solid.
  • Melting point is when solid becomes liquid.

Sublimation

  • Sublimation is the change from solid to vapor state without passing through the liquid state.

Steady State

  • Steady state refers to a condition where the temperature of each part of an object (like a metal rod) does not change with time, even as heat continues to flow.
  • A rod's temperature is constant at each point across it but not the same across the length of the rod.

Thermal Conductivity

  • Thermal conductivity is the rate of heat conduction through a material.
  • It is dependent on the distance between the two areas, the area itself, the time, and the temperature difference.
  • Mathematically, Q = (K * A * (T₁-T₂)*t) / x (where Q is the rate of heat transfer, k is thermal conductivity, A is area, T₁ and T₂ are the temperatures, t is time, and x is distance).

Applications of Thermal Conductivity

  • Cooking utensils are often made of metals (good conductors) but have handles of poor conductors to protect from burns.
  • Ice does not melt easily in sawdust, as sawdust is a poor conductor preventing rapid heat conduction to the ice.
  • Electric irons have mica coatings: good conductors of heat, but bad conductors of electricity to protect from shocks.

Thermal Resistance

  • Thermal resistance is the opposition of a substance to heat flow.
  • RT = x / (K * A).

Heat Transfer via Radiation

  • Heat can be transferred through radiation without a medium (e.g., from the sun).

Newton's Law of Cooling

  • The rate of heat loss is proportional to the difference in temperature between the object and its surroundings, if the temperature difference is small.

Thermal Stress

  • Thermal stress arises when material expansion is restricted.
  • Gaps are left in structures (like bridges and roads in hot climates) to prevent thermal stress damage.

Thermal Insulators

  • Materials with high thermal resistance are poor conductors and good insulators (e.g., glass, wood, rubber, plastic).

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