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Boltzmann's Constant (Grades 11-12)

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Boltzmann's Constant

Instructions: Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

The physical constant, which is a ratio of the gas constant, [math]R[/math], divided by the Avogadro constant, [math]N_A[/math], is called the                     .
  1. Planck’s constant
  2. Boltzmann constant
  3. Maxwell constant
  4. ideal molar constant
The dimensions of the Boltzmann constant are the same as that of                .
  1. entropy
  2. energy
  3. gas constant
  4. temperature
The Boltzmann constant relates temperature with the                 of individual particles.
  1. velocity
  2. mass
  3. entropy
  4. energy
What are the standard SI units of the Boltzmann constant?
  1. Moles per Joule
  2. Joules per Kelvin
  3. Joules Kelvin
  4. Newtons per Kelvin
Boltzmann constant, [math]k[/math], was first given a value in the                            .
  1. theory of thermodynamics
  2. ideal gas law
  3. law of black body radiation
What is the value of the Boltzmann constant in the non-standard units, electronvolts ([math]eV[/math]) per degree K?
  1. [math]8.617×10^−5[/math]
  2. [math]1.38×10^−23[/math]
In statistical mechanics, what is the Boltzmann entropy equation that relates the microscopic states of a system to its macroscopic state?

How can you write the ideal gas equation using the Boltzmann constant? Be sure to indicate the meaning of each variable in the equation.

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