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Thermal Properties & Temperature

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课程笔记

Thermal Expansion

  • When a material is heated at constant pressure, its temperature increases, volume expands, and density decreases.
  • Expansion occurs because molecules gain kinetic energy, vibrate/move faster, and push each other apart.
  • Solids expand the least, gases expand the most, and liquids are in between.
  • Useful applications: liquid-in-glass thermometers (liquid expands in capillary tube) and bimetallic strips (two metals expand at different rates, bending to close a circuit).
  • Undesirable consequences: buckling of railway tracks, road surfaces, and bridges; gaps are built in to allow expansion.

Thermal expansion diagram

Thermal expansion diagram

Specific Heat Capacity

  • Internal energy is the total energy stored in a system due to particle motion (kinetic) and positions (potential).
  • Temperature is a measure of the average kinetic energy of particles.
  • Specific heat capacity (c) is the energy required to raise the temperature of 1 kg of a substance by 1 °C.
  • Low c → heats up/cools down quickly; high c → heats up/cools down slowly.
  • Equation: \Delta E = m c \Delta \θ , where \Delta E in J, m in kg, c in J/kg°C, \Delta \θ in °C.

Kinetic and potential energy of particles in a liquid

Kinetic and potential energy of particles in a liquid

Investigating Specific Heat Capacity

  • Aim: determine specific heat capacity by measuring energy supplied (E = IVt) and temperature change.
  • Independent variable: time; dependent variable: temperature; control: material, current, voltage.
  • Equipment: thermometer, immersion heater, beaker/block, ammeter, voltmeter, power supply, digital balance, stopwatch.
  • Method: record mass, initial temperature, then heat while recording current, voltage, and temperature every 60 s for 10 min.
  • Calculate \Delta E = IV\Delta t and c = \Delta E / (m \Delta \θ).
  • Systematic errors: zero balance, account for evaporation; random errors: stir water, be consistent with fluctuating readings.

Apparatus for investigating specific heat capacity

Apparatus for investigating specific heat capacity

Melting & Boiling

  • Fixed points of pure water: melting point = 0 °C, boiling point = 100 °C at atmospheric pressure.
  • During a change of state (melting/boiling), temperature remains constant even though energy is still being transferred.
  • Energy goes into overcoming intermolecular forces (potential energy), not increasing kinetic energy.
  • Boiling occurs at the boiling point throughout the liquid; melting occurs at the melting point as solid becomes liquid.
  • Condensation (gas→liquid) and solidification (liquid→solid) also occur at constant temperature as energy is removed.

Heating curve showing changes of state

Heating curve showing changes of state

Evaporation

  • Evaporation is a change from liquid to gas that occurs at any temperature and only from the surface.
  • More energetic molecules near the surface escape, reducing the average kinetic energy → liquid cools.
  • Rate of evaporation increases with: higher temperature, larger surface area, and greater air movement.
  • Evaporation vs boiling: evaporation at any temperature, only at surface; boiling at boiling point, throughout liquid.

Evaporation of liquid molecules

Evaporation of liquid molecules

幻灯片

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练习题

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  1. 1.What are the upper and lower fixed points on a Celsius scale thermometer?

    Easy
    • AThe boiling point of pure water and the freezing point of pure water
    • BThe boiling point of saturated salt solution and the freezing point of salt-water
    • CThe normal temperature of the human body and the freezing point of salt-water
    • DThe boiling point of pure water and absolute zero
  2. 2.A substance is cooled. The graph below shows how its temperature changes over time. What is happening in the portion of the graph between X and Y?

    Medium
    Cooling curveO24681012345678TimeTemperatureXTemperatureY
    • AThe gas is cooling.
    • BThe liquid is freezing.
    • CThe gas is condensing.
    • DThe liquid is cooling.
  3. 3.Which statement best describes a metal experiencing thermal expansion?

    Easy
    • AThe molecules increase in size.
    • BThe molecules vibrate more and move further apart.
    • CThe molecules expand and become larger.
    • DThe molecules decrease in density.
  4. 4.When a substance is melting, what happens to its temperature and internal energy?

    Medium
    • ATemperature increases, internal energy increases.
    • BTemperature remains constant, internal energy increases.
    • CTemperature remains constant, internal energy decreases.
    • DTemperature increases, internal energy remains constant.
  5. 5.Which of the following is a correct unit for specific heat capacity?

    Easy
    • AJ / kg
    • BJ / °C
    • CJ / (kg °C)
    • DJ kg °C
  6. 6.The specific heat capacity of water is 4200 J/(kg °C). How much energy is required to raise the temperature of 2.0 kg of water by 5.0 °C?

    Medium
    • A42000 J
    • B21000 J
    • C8400 J
    • D16800 J
  7. 7.In an experiment to determine the specific heat capacity of a metal block, a student uses an immersion heater. Which of the following is the correct equation to calculate the energy supplied to the block?

    Easy
    • AE = IVt
    • BE = IRt
    • CE = V/It
    • DE = I2Vt
  8. 8.A student investigates the cooling of water. The results show that the rate of cooling is greater when the water is hotter. Which statement explains this?

    Medium
    • AHotter water has a higher specific heat capacity.
    • BHotter water evaporates more quickly, removing more thermal energy.
    • CHotter water expands, increasing its surface area.
    • DHotter water has a lower density, so it rises and cools faster.

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