Q5P Calculate the energy of one mole... [FREE SOLUTION]

Chapter 19: Q5P (page 662)

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

Short Answer

Expert verified

The energy of one mole of photons of red light is $1.71 脳 10^{5} {Jmol}^{鈭� 1}$ .

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 $位$ represents its wavelength.

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

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.

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

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91影视

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

Short Answer

Step by step solution

Definition of photon

Determine the energy.

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91影视

Calculate the energy of one mole of photons of red light (位=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

Astrobiological Science

Ecosystems

Plant Biology

Substance Exchange

Cellular Energetics

Cells

Study anywhere. Anytime. Across all devices.

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