Chapter 12: Q8CP (page 497)

At room temperature, show that K_BT≈1/ 40 eV. It is useful to memorize this result, because it tells a lot about what phenomena are likely to occur at room temperature.

Short Answer

Expert verified

The result can be proved using the energy equation.

Step by step solution

Identification of given data

Boltzmann’s constant is $k_{b} = 8.62 \times 10^{- 5} \frac{e V}{K}$ .
The room temperature is $T = 20 ° C = 293 K$ .

Concept of energy

The ability to do tasks is known as energy. Depending on the form it takes, it may be either potential or kinetic or thermal or electrical or chemical, or nuclear.

The energy equation is given by,

$E = k_{b} T$ …… (i)

Here $k_{b}$ is Boltzmann’s constant.

$T$ is the room temperature.

Evaluation of energy equation

The energy equation can be proved using equation (i)

$E = (8.62 \times 10^{5} \frac{e V}{K}) \times (293 K) E = (8.62 \times 10^{- 5} \times 293) . (\frac{1 e V}{1 K} \times 1 K) E = 0.025 e V E \approx \frac{1}{40} e V$

Thus, the temperature equation is proved.

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At room temperature, show that K_BT≈1/ 40 eV. It is useful to memorize this result, because it tells a lot about what phenomena are likely to occur at room temperature.

Short Answer

Step by step solution

Identification of given data

Concept of energy

Evaluation of energy equation

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At room temperature, show that KBT≈1/ 40 eV. It is useful to memorize this result, because it tells a lot about what phenomena are likely to occur at room temperature.

Short Answer

Step by step solution

Identification of given data

Concept of energy

Evaluation of energy equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Oscillations

Kinematics Physics

Physical Quantities And Units

Quantum Physics

Electric Charge Field and Potential

Further Mechanics and Thermal Physics

Study anywhere. Anytime. Across all devices.

At room temperature, show that K_BT≈1/ 40 eV. It is useful to memorize this result, because it tells a lot about what phenomena are likely to occur at room temperature.