Thermal Physics Overview

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Questions and Answers

A 0.25 kg metal block is heated to 50.0 °C and then placed in a container with 0.75 kg of water at 20.0 °C. The final temperature of the system is 21.0 °C. What is the specific heat of the metal?

  • 500 J/(kg·K)
  • 125 J/(kg·K)
  • 250 J/(kg·K) (correct)
  • 1000 J/(kg·K)

Which of the following statements about specific heat is TRUE?

  • A substance with a high specific heat requires a large amount of energy to raise its temperature. (correct)
  • Specific heat is the amount of energy required to raise the temperature of 1 gram of a substance by 1 degree Celsius. (correct)
  • The specific heat of water is lower than the specific heat of ice.
  • Metals generally have high specific heat values, which is why they are good heat conductors.
  • A substance with a high specific heat will cool down faster than a substance with low specific heat.

Why is it easier to raise the temperature of a metal object compared to a similar mass of water?

  • Metals have a larger surface area than water.
  • Metals have a lower specific heat capacity than water. (correct)
  • Metals have a faster rate of heat transfer.
  • Metals are better conductors of heat.
  • Metals have a higher density than water.

A 100 g metal block is heated to 80.0 °C and then placed in 200 g of water at 20.0 °C. Assuming no heat loss to the surroundings, what is the final temperature of the system if the specific heat of the metal is 400 J/(kg·K)?

<p>20.4°C (C)</p> Signup and view all the answers

What is the primary reason for using a cloth when lifting a hot pan from a stove?

<p>The cloth acts as an insulator, reducing the transfer of heat to the hand. (D)</p> Signup and view all the answers

What is the mechanism of heat transfer that involves the movement of fluid?

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

Which variable is NOT a thermodynamic variable used to specify the state of a system?

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

In the equation of state for an ideal gas, what does the symbol $k_B$ represent?

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

What does the First Law of Thermodynamics primarily state?

<p>Energy is always conserved. (D)</p> Signup and view all the answers

Which equation expresses the relationship between internal energy, heat, and work in a thermodynamic system?

<p>$ riangle E = riangle q + riangle w$ (A)</p> Signup and view all the answers

What is the relationship between the efficiency of a heat engine and the temperatures of the hot and cold reservoirs?

<p>Efficiency increases with increasing difference between temperatures. (D)</p> Signup and view all the answers

In the context of a heat engine, what equation represents the work done by the engine?

<p>W = Qin,h - Qout,c (A)</p> Signup and view all the answers

What does the equation ε = 1 - (Tc / Th) signify regarding the efficiency of a heat engine?

<p>The efficiency is always less than 1. (C)</p> Signup and view all the answers

What process occurs in a refrigerator that is the opposite of a heat engine?

<p>Work is done to move heat from a cold reservoir to a hot reservoir. (A)</p> Signup and view all the answers

What is a characteristic of thermal reservoirs in relation to temperature?

<p>They maintain a constant temperature regardless of heat exchange. (B)</p> Signup and view all the answers

What happens to the values of work and heat when heat is removed from the system?

<p>Both are negative. (A)</p> Signup and view all the answers

How does the internal energy of a gas relate to its temperature?

<p>It is independent of the path taken to change temperature. (A)</p> Signup and view all the answers

What is the work done by the expanding gas when it expands into a vacuum?

<p>It is zero. (B)</p> Signup and view all the answers

Which of the following statements about path variables is true?

<p>Work and heat depend on the steps leading from one state to another. (C)</p> Signup and view all the answers

Which equation represents the work done by an expanding gas when relating pressure to volume change?

<p>$w = - \int P_{ext} dV$ (D)</p> Signup and view all the answers

Flashcards

Convection

Heat transfer through a moving fluid, like water or air.

Thermodynamic variables

Properties like pressure, volume, and temperature that define a system's state.

Equation of State (EOS)

A relationship between thermodynamic variables, like P, V, and T.

First Law of Thermodynamics

Energy is conserved; change in internal energy equals heat added plus work done.

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Ideal gas equation

PV = Nk_BT relates pressure, volume, and molecular properties.

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Thermal Reservoir

A large mass that can absorb or release heat without changing temperature.

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Heat Engine

A device that converts heat energy into mechanical work by operating between hot and cold reservoirs.

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Efficiency ( ε)

The ratio of useful work output to heat input in a heat engine.

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Refrigerator

A heat engine working in reverse that pumps heat from a cold area to a hot area using work.

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Specific Heat of Water

The amount of heat required to raise 1 gram of water by 1 degree Celsius, measured at 1.0 cal/(°C g) or 4186 J/kg.

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Specific Heat of Metals

Metals have a low specific heat, meaning they heat up and cool down quickly compared to water.

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Heat Transfer Equation

Q = kA(ΔT)t/L, where Q is the heat transferred, k is thermal conductivity, A is area, ΔT is temperature difference, t is time, and L is length.

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Thermal Conductivity

A measure of how well a material conducts heat, symbolized as k in heat transfer equations.

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Work and Heat Interaction

The sum of work done and heat transferred equals change in energy (ΔE). Positive values indicate addition, negative indicate removal.

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Path Variables

Work and heat are path variables; their values depend on the process taken between states.

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Internal Energy Dependence

Internal energy depends only on state variables, not on the path taken to reach that state.

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Work Done by Gas Expansion

The work done by an expanding gas can be calculated using w = -∫Pext dV, where Pext is external pressure.

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Force Exerted by Gas

The force exerted by the gas on the piston equals the negative of the force the piston exerts on the gas.

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Study Notes

Thermal Physics I

  • Ancient view of heat: Heat was a weightless, colorless fluid called phlogiston, stored in objects and transferred between them. This is incorrect. Heat is a form of energy.
  • Temperature: A quantity common to bodies in contact after sufficient time. Hotter objects have higher temperatures.
  • Heat: Energy flowing from a high-temperature system to a low-temperature system due to a temperature difference.
  • Thermal equilibrium: When two or more objects in contact no longer exchange heat, they are in thermal equilibrium.
  • Temperature measurement: Measured using thermometric properties (e.g., expansion, resistance, change in color) that change with temperature.
  • Temperature scales: Centigrade (Celsius), Fahrenheit, and Kelvin are used to quantify temperature. Kelvin is the absolute scale (0 K = absolute zero).

Thermal Physics II

  • Equation of state: Relation between thermodynamic variables (e.g., pressure, volume, temperature) for a specific system. For an ideal gas, PV = NkT, where N is the number of molecules, and k is the Boltzmann constant.
  • First Law of Thermodynamics: Conservation of energy in thermodynamic processes. ΔE = Q + W, where ΔE is the change in internal energy, Q is heat, and W is work.
  • Work done by expanding gas: The work done by an expanding gas is -PΔV, where P is the pressure and ΔV is the change in volume.
  • Internal energy: Internal energy of a system depends only on the temperature and number of molecules it contains.

Thermal Physics III

  • Statistical mechanics: Study of heat by considering the random movements of the molecules, including their speed and directions.
  • Ideal gas: Gas where the molecules have negligible interactions with each other.
  • Pressure: Related to the average velocity of the atoms (molecules) and is directly proportional to the absolute temperature.
  • Entropy: Measure of disorder or randomness in a system, increasing with disordered motion of the particles, also increasing as volume and temperature increase. The second law of thermodynamics can be described with respect to entropy.
  • Heat transfer: Conduction, convection and radiation described.
  • Latent heat: Amount of heat needed to change the phase of a substance without changing its temperature.
  • Specific heat: Amount of heat needed to raise the temperature of a substance by 1 degree Celsius or Kelvin.

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Thermal Physics I PDF

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