Chapter 19: Q5P (page 662)

Calculate the energy of one mole of photons of red light ( $λ = 700$ nm).

Short Answer

Expert verified

The energy of one mole of photons of red light is $1.71 \times 10^{5} {Jmol}^{- 1}$ .

Step by step solution

Definition of photon

The photon is a sort of fundamental particle that acts as the quantum of the electromagnetic field, which includes electromagnetic radiation such as light and radio waves and the electromagnetic force's force carrier.

Determine the energy.

The energy of a single photon can be calculated by using the equation below, where $c$ represents the speed of light, $h$ represents Planck's constant, and $λ$ represents its wavelength.

$\begin{matrix} E = \frac{ch}{λ} \\ = \frac{(3 \times 10^{8} {ms}^{- 1}) (6.63 \times 10^{- 34} m^{2} {kgs}^{- 1})}{7 \times 10^{- 7} m} \\ = 2.84 \times 10^{- 19} J \end{matrix}$

The energy of one mole of photons is calculated by multiplying the earlier supplied value of the energy of one photon by Avogadro's number.

$\begin{matrix} E_{1 mol} = (2.84 \times 10^{- 19} J) (6.02 \times 10^{23} {mol}^{- 1}) \\ = 1.71 \times 10^{5} {Jmol}^{- 1} \end{matrix}$

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Calculate the energy of one mole of photons of red light ( $λ = 700$ nm).

Short Answer

Step by step solution

Definition of photon

Determine the energy.

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Calculate the energy of one mole of photons of red light (λ=700 nm).

Short Answer

Step by step solution

Definition of photon

Determine the energy.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Biology Textbooks

Biological Organisms

Microbiology

Heredity

Chemistry of Life

Biological Structures

Biology Experiments

Study anywhere. Anytime. Across all devices.

Calculate the energy of one mole of photons of red light ( $λ = 700$ nm).