Chapter 23, Problem 3PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Is violet light (with a wavelength of 400 nm) sufficiently energetic to break a carbon-carbon single bond (the average C-C bond energy is 346 kJ/mol)?

Interpretation Introduction

Interpretation: The violet light is whether sufficent to break the carbon-carbon single bond or not has to be determined.

Concept introduction:

All the saturated hydrocarbons have carbon-carbon single bonds. The energy required to break a carbon-carbon bond is 346 kJ/mol. This much amount of energy can be provided by extreme hight or via a sunlight at lower wavelenght.

When violet light is applied the wavelength is 400 nm. The enegy provided by this wavelength is calculated by using following expression,

E=hcλ

Here, h is the Planck’s constant, c is the speed of light and λ is the wavelength of light.

Explanation

The calculation of energy is given below.

Given:

The value of wavelenght (Î») for violet light is 400Â nm or 400Ã—10âˆ’9m.

Value of Planckâ€™s constant (h) is 6.626Ã—10âˆ’34Jâ‹…s.

Speed of light is equals to 3Ã—108mâ‹…sâˆ’1.

Enegry is calculated by using equation (1).

â€‚Â E=hcÎ»

Substitute the values,

â€‚Â E=(6.626Ã—10âˆ’34Jâ‹…s)(3Ã—108mâ‹…sâˆ’1)(400Ã—10âˆ’9m)=4

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