# 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.

1.

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 .

- Planck’s constant
- Boltzmann constant
- Maxwell constant
- ideal molar constant

2.

The dimensions of the Boltzmann constant are the same as that of .

- entropy
- energy
- gas constant
- temperature

3.

The Boltzmann constant shows a relationship between temperature and

- the velocity of each particle.
- the mass of each particle.
- the entropy of each particle.
- the energy of each particle.

4.

Which of the following represents the Boltzmann constant's SI unit?

- Moles per Joule
- Joules per Kelvin
- Joules Kelvin
- Newtons per Kelvin

5.

Boltzmann constant, [math]k[/math], was first given a value in the .

- theory of thermodynamics
- ideal gas law
- law of black body radiation

6.

What is the value of the Boltzmann constant in the non-standard units, electronvolts ([math]eV[/math]) per degree K?

- [math]8.617 xx 10^−5[/math]
- [math]1.38 xx 10^−23[/math]

7.

In statistical mechanics, what is the Boltzmann entropy equation that relates the microscopic states of a system to its macroscopic state?

8.

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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