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Solved: The particle nature of light was first proposed by Albert Einstein, who

Chapter 9, Problem 110P

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QUESTION:

The particle nature of light was first proposed by Albert Einstein, who suggested that light could be described as a stream of particles called photons. A photon of wavelength \(\lambda\) has an energy (E) given by the equation: \(E=h c / \lambda\), where E is the energy of the photon in J, h is Planck’s constant \(\left(6.626 \times 10^{-34} J \cdot s\right)\), and c is the speed of light \(\left(3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}\right)\). Calculate the energy of 1 mol of photons with a wavelength of 632 nm.

Equation Transcription:

Text Transcription:

(lambda)

E = hc/lambda

(6.626 times 10^-34 J cdot s)

(3.00 times 10^8 m/s)

Questions & Answers

QUESTION:

The particle nature of light was first proposed by Albert Einstein, who suggested that light could be described as a stream of particles called photons. A photon of wavelength \(\lambda\) has an energy (E) given by the equation: \(E=h c / \lambda\), where E is the energy of the photon in J, h is Planck’s constant \(\left(6.626 \times 10^{-34} J \cdot s\right)\), and c is the speed of light \(\left(3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}\right)\). Calculate the energy of 1 mol of photons with a wavelength of 632 nm.

Equation Transcription:

Text Transcription:

(lambda)

E = hc/lambda

(6.626 times 10^-34 J cdot s)

(3.00 times 10^8 m/s)

ANSWER:

Solution 110P

Here, we have to calculate  the energy of 1 mol of photons with a wavelength of 632 nm.

We know that

A photon of wavelength λ has an energy (E) given by the equation:

E = hc/λ, -----(1)

where E is the energy of the photon in J, h is Planck's constant  and c is the speed of light.

Given that,

Planck's constant h = 6.626 × 10−34

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