### Problem DescriptionA certain shade of blue has a frequency of $7.08 \times 10^{14}$ Hz. What is the energy of exactly one photon of this light? Planck's constant is $h = 6.626 \times 10^{-34}$ J·s.### Given FormulaThe energy of a photon can be calculated using the formula:\[ E = h \cdot f \]where:- $E$ is the energy of the photon,- $h$ is Planck's constant $(6.626 \times 10^{-34} \text{ J·s})$,- $f$ is the frequency of the light.### Calculation1. Substitute the given frequency and Planck's constant into the formula: \[ E = 6.626 \times 10^{-34} \, \text{J·s} \, \times \, 7.08 \times 10^{14} \, \text{Hz} \]### Incorrect AnswerThe submitted answer was:\[ E = 4.85 \times 10^{-19} \, \text{J} \]This answer was marked as incorrect.### DiscussionEnsure that calculations are performed accurately, checking for possible decimal or calculation errors. The correct calculation according to the formula should be reviewed to determine the accurate energy value.

Given : frequency = 7.08 × 1014 Hz Tip : energy = h × frequency

Answered: A certain shade of blue has a frequency…

A certain shade of blue has a frequency of 7.08 x 10¹4 Hz. What is the energy of exactly one photon of this light? Planck's constant is h = 6.626 x 10-34 J-s. Attempt 1

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

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### Problem Description

A certain shade of blue has a frequency of $7.08 \times 10^{14}$ Hz. What is the energy of exactly one photon of this light? Planck's constant is $h = 6.626 \times 10^{-34}$ J·s.

### Given Formula

The energy of a photon can be calculated using the formula:
\[
E = h \cdot f
\]
where:
- $E$ is the energy of the photon,
- $h$ is Planck's constant $(6.626 \times 10^{-34} \text{ J·s})$,
- $f$ is the frequency of the light.

### Calculation

1. Substitute the given frequency and Planck's constant into the formula:
\[
E = 6.626 \times 10^{-34} \, \text{J·s} \, \times \, 7.08 \times 10^{14} \, \text{Hz}
\]

### Incorrect Answer

The submitted answer was:
\[
E = 4.85 \times 10^{-19} \, \text{J}
\]
This answer was marked as incorrect.

### Discussion

Ensure that calculations are performed accurately, checking for possible decimal or calculation errors. The correct calculation according to the formula should be reviewed to determine the accurate energy value.

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