Chapter 12: Q43P (page 510)

At room temperature (293 K), calculate $k_{B} T$ in joules and eV.

Short Answer

Expert verified

The value of $k_{B} T$ is $4.04 \times 10^{- 21} J$ and the value of $k_{B} T$ eV is role="math" localid="1657860404123" $2.52 \times 10^{- 2} eV$ .

Step by step solution

Identification of given data

The given data can be listed below,

The value of room temperature is, $T_{R} = 293 K$ .
The value of Boltzmann constant is, $k_{B} = 1.38 \times 10^{- 23} J / K$

Concept/Significance of kBT.

$k_{B} T$ has units of energy and hence in general it’s just a metric to quantify energy Instead of utilizing units of joules, calories etc. which are more practical at a macroscopic level $k_{B} T$ is preferred unit

Determination of the value of the product of Boltzmann constant and temperature in joules and eV

The value of the value of the product of Boltzmann constant and temperature in joule is given by,

$k_{B} T = (293 K) (1.38 \times 10^{- 23} J / K = 4.04 \times 10^{- 21} J$

Thus, the value of $k_{B} T$ is $4.04 \times 10^{- 21} J$ .

The value of the product of Boltzmann constant and temperature in eV is given by,

$k_{B} T = 4.04 \times 10^{- 21} J (\frac{1 eV}{1.6 \times 10^{- 19} J}) = 2.52 \times 10^{- 2} eV$

Thus, the value of $k_{B} T$ eV is $2.52 \times 10^{- 2} eV$ .

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At room temperature (293 K), calculate $k_{B} T$ in joules and eV.

Short Answer

Step by step solution

Identification of given data

Concept/Significance of kBT.

Determination of the value of the product of Boltzmann constant and temperature in joules and eV

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At room temperature (293 K), calculate kBT in joules and eV.

Short Answer

Step by step solution

Identification of given data

Concept/Significance of kBT.

Determination of the value of the product of Boltzmann constant and temperature in joules and eV

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Magnetism and Electromagnetic Induction

Electric Charge Field and Potential

Oscillations

Waves Physics

Dynamics

Study anywhere. Anytime. Across all devices.

At room temperature (293 K), calculate $k_{B} T$ in joules and eV.