Thermal Equilibrium and Temperature Scales
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Questions and Answers

What is a limitation of resistance thermometers?

  • They cannot measure a local or rapidly changing temperature. (correct)
  • They are not applicable for temperatures below -200°C.
  • They can rapidly measure local temperatures.
  • They require only minimal expertise to operate.
  • Which of the following materials can be used in resistance thermometers as resistance wire?

  • Copper only
  • Platinum, nickel, and copper (correct)
  • Silver and gold
  • Aluminum and brass
  • Which property do thermocouples primarily use to measure temperature?

  • Electromotive force (emf) (correct)
  • Resistance change
  • Liquid expansion
  • Thermal expansion
  • What characteristic allows thermoelectric thermometers to follow rapidly changing temperatures?

    <p>Very small heat capacity</p> Signup and view all the answers

    What is the temperature range that thermocouples can typically measure?

    <p>-270°C to approximately 2000°C</p> Signup and view all the answers

    Which process describes the change in dimensions of solids and liquids as temperature increases?

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

    What phenomenon explains the increase in atomic separation at higher temperatures?

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

    Why are thermal joints important in construction?

    <p>They compensate for dimensional changes.</p> Signup and view all the answers

    What is defined as the temperature at which liquid water, gaseous water, and solid water coexist in equilibrium?

    <p>Triple point of water</p> Signup and view all the answers

    At what temperature does the ice point occur on the Kelvin scale?

    <p>273.15 K</p> Signup and view all the answers

    Which physical property does NOT typically change with temperature, affecting thermometer measurements?

    <p>Mass of an object</p> Signup and view all the answers

    What is the pressure difference between the ice point and the triple point of water?

    <p>760 mmHg and 4.6 mmHg</p> Signup and view all the answers

    What is the equivalent Celsius temperature of absolute zero (0 K)?

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

    Which of the following scales has the stepping stones divided into 100 equal degrees between two specific points?

    <p>Kelvin scale</p> Signup and view all the answers

    Which type of thermometer relies on the change of a liquid’s volume with temperature?

    <p>Liquid-in-glass thermometer</p> Signup and view all the answers

    Which temperature scale is known for being based on absolute zero and has no negative values?

    <p>Kelvin scale</p> Signup and view all the answers

    At what temperature will the steel and brass bolts touch if the initial gap is 5.0μm at 27.00C?

    <p>34.40C</p> Signup and view all the answers

    Which statement best describes Boyle's law as it applies to an ideal gas?

    <p>Pressure is inversely proportional to volume at constant temperature.</p> Signup and view all the answers

    What does the ideal gas law equation PV = nRT represent?

    <p>The relationship between pressure, volume, and temperature of a gas.</p> Signup and view all the answers

    If the temperature of an ideal gas is held constant and the pressure doubled, what happens to its volume?

    <p>The volume is halved.</p> Signup and view all the answers

    Which of the following is a characteristic of an ideal gas?

    <p>PV/nT is constant for all temperatures.</p> Signup and view all the answers

    Given the coefficients of linear expansion for steel and brass, which is true when both materials expand?

    <p>Brass expands more than steel for the same temperature change.</p> Signup and view all the answers

    What is the main requirement for a gas to be classified as an ideal gas?

    <p>It must behave in a predictable manner at lower pressures and temperatures.</p> Signup and view all the answers

    Which of the following correctly summarizes Charles's law?

    <p>Volume is directly proportional to temperature at constant pressure.</p> Signup and view all the answers

    In an isobaric process, which equation correctly represents the work done by the gas?

    <p>$W = nR dT$</p> Signup and view all the answers

    What is the relationship between the specific heats of an ideal gas at constant pressure and constant volume?

    <p>$C_p = C_v + R$</p> Signup and view all the answers

    What is the value of the ratio $ rac{C_p}{C_v}$ for a monoatomic ideal gas?

    <p>$1.67$</p> Signup and view all the answers

    In an adiabatic process, which of the following statements is true regarding heat transfer?

    <p>Heat transfer is zero throughout the process.</p> Signup and view all the answers

    For an adiabatic process, how is pressure (P) related to volume (V)?

    <p>$PV^γ = c$</p> Signup and view all the answers

    Which equation correctly expresses the change in internal energy for an adiabatic process?

    <p>$dE_{int} = nC_v dT$</p> Signup and view all the answers

    Which of the following processes occurs in a system when $dV = 0$?

    <p>Isochoric process</p> Signup and view all the answers

    In the first law of thermodynamics, which equation correctly relates internal energy, heat, and work?

    <p>$ riangle E_{int} = Q - W$</p> Signup and view all the answers

    What is the value of $p_2$ after the adiabatic expansion from stage 1 to stage 2?

    <p>$5 x 10^4 N/m^2$</p> Signup and view all the answers

    What is the work done, $W_{12}$, during the adiabatic process from stage 1 to stage 2?

    <p>$5000 J$</p> Signup and view all the answers

    What formula is used to calculate the heat added during an isovolumetric process?

    <p>$Q = nC_v riangle T$</p> Signup and view all the answers

    What is the new temperature, $T_f$, of the gas after the isobaric process?

    <p>340.1 K</p> Signup and view all the answers

    What is the work done, $W_{23}$, during the isobaric process from stage 2 to stage 3?

    <p>$-2500 J$</p> Signup and view all the answers

    During which process is the work done on the gas $W_{31}$ equal to zero?

    <p>Isochoric process</p> Signup and view all the answers

    What is the appropriate heat transfer equation for an isobaric process?

    <p>$Q = nC_p(T_f - T_i)$</p> Signup and view all the answers

    What thermodynamic process is represented by a constant temperature change?

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

    Study Notes

    Thermal Equilibrium

    • Two objects in thermal contact cease exchanging energy through heat or electromagnetic radiation when they reach thermal equilibrium.
    • Thermal equilibrium implies that both objects are at the same temperature.

    Thermometers and Temperature Scales

    • Temperature is measured using devices called thermometers that utilize changes in physical properties as temperature changes.
    • Common temperature scales include:
      • Kelvin (Thermodynamic)
      • Celsius
      • Fahrenheit
    • The Kelvin scale defines the triple point of water as 273.16 K.
    • The triple point of water is the temperature at which liquid water, gaseous water, and solid water coexist in equilibrium.
    • The steam point on the Kelvin scale is 373.15 K.
    • Absolute zero (0 K) is the temperature at which the pressure of a gas is zero.

    Types of Thermometers

    • Thermometers are based on the principle that certain physical properties change with temperature. Some examples include:
      • Volume/length of a liquid
      • Length of a solid
      • Pressure of a gas at constant volume
      • Volume of a gas at constant pressure
      • Electric resistance of a conductor
      • The color of an object
      • The emf of a thermocouple

    Electrical Thermometers

    • Electrical thermometers include:
      • Resistance thermometers
      • Thermocouples
      • Thermoelectric thermometers
    • These thermometers are generally more accurate than other types except for gas thermometers.
    • They are faster-acting and less cumbersome.

    Resistance Thermometers

    • Resistance thermometers measure temperature using the change in resistance of a metal wire.
    • The resistance wire can be made of platinum, nickel, or copper.
    • They can measure temperatures between -200°C and 1000°C.

    Thermocouples

    • Thermocouples measure temperature based on the electromotive force (emf) generated between two dissimilar metals.
    • They can measure a wide range of temperatures, from -270°C to approximately 2000°C.
    • The wires in thermocouples are typically platinum or platinum-rhodium.

    Thermoelectric Thermometers

    • These thermometers consist of two thermocouples connected in series with a potentiometer and a constant-temperature bath.
    • They measure temperature based on the electromotive force (emf).
    • They are very sensitive and can measure temperature almost at a point.
    • They can follow rapid temperature changes because they have low heat capacity.

    Thermal Expansion

    • Thermal expansion is the increase in volume or dimensions of a substance as its temperature increases.
    • This phenomenon is a consequence of the increased separation between the atoms within the material.
    • Thermal expansion is used in many applications, such as expansion joints in buildings, railways, and bridges to compensate for temperature-induced dimensional changes.

    Ideal Gas

    • The equation of state relates the volume (V), temperature (T), and pressure (P) of a gas.
    • The equation of state is simplified for ideal gases maintained at low pressure or low density.
    • Boyle's law states that at constant temperature, the pressure of an ideal gas is inversely proportional to its volume (P α 1/V).
    • Charles's law states that at constant pressure, the volume of an ideal gas is directly proportional to its temperature (V α T).
    • The equation of state for an ideal gas is PV = nRT, where:
      • n is the number of moles
      • R is the gas constant

    Adiabatic Processes

    • An adiabatic process is a thermodynamic process during which no heat is exchanged between the system and the surrounding.
    • In an adiabatic process, pressure and volume are related by: 𝑃𝑉 ϒ = 𝑐, where c is a constant.
    • The work done in an adiabatic process can be calculated using the equation: W = (𝑃1𝑉1ϒ (𝑉21−ϒ − 𝑉11−ϒ))/(1−ϒ).
    • The change in internal energy in an adiabatic process is the same as for an isovolumetric process between the same temperatures.

    Specific Heat

    • The specific heat of a gas is the amount of energy needed to increase the temperature of one unit mass of the material by one degree.
    • For an ideal gas, the specific heat at constant volume (Cv) and constant pressure (Cp) are related by: 𝐶𝑝 − 𝐶𝑣 = 𝑅.
    • For a monoatomic ideal gas, 𝐶𝑝 = 5/2 𝑅 and 𝐶𝑣 = 3/2 𝑅, leading to a specific heat ratio (𝛾) of 1.67.

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    Description

    Explore the concepts of thermal equilibrium, thermometers, and various temperature scales in this quiz. Understand how these principles interact and the significance of the triple point of water. Test your knowledge on the measuring devices that help us understand temperature variations.

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