Explanation Given: 90.5 kJ / mol 8.05 × 10 − 4 kJ / mol 1.83 × 10 3 kJ / mol The electromagnetic spectrum is the energetic distribution of the electromagnetic of the set of electromagnetic waves. The regions of electromagnetic spectrum are, Radio ( λ = 1 − 10 3 cm ) Microwave ( λ = 10 − 2 − 1 cm ) Infrared ( λ = 10 − 4 − 10 − 2 cm ) Ultraviolet ( λ = 10 − 6 − 10 − 4 cm ) X-rays ( λ = 10 − 8 − 10 − 6 cm ) Formula used: E = N A h ν where E is the energy emitted or absorbed, N A is the Avogadro’s number ( 6.02 × 10 23 particles / mol ), h is the Plank’s constant ( 6.626 × 10 − 37 kJ s ) and ν is the frequency. λ = c ν → ν = c λ where λ is the wavelength, c is the speed of light ( 3 × 10 8 m / s ) and ν is the frequency. So that, E = N A h c λ Calculation: a) Calculate λ 90.5 kJ mol = 6.02 x 10 23 photon mol x 6.626 x 10 − 37 kJ s x 3 x 10 8 m s λ 90.5 kJ mol = 1.197 x 10 − 4 kJ m mol λ λ = 1.197 x 10 − 4 kJ m mol 90.5 kJ mol = 1.322 x 10 − 6 m Convert the m to cm λ = 1.322 x 10 − 6 m x 10 2 cm 1 m = 1.322 x 10 − 4 cm This λ is between 10 − 4 cm and 10 − 2 cm

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ISBN: 9780321943170

Author: John E. McMurry, Robert C. Fay, Jill Kirsten Robinson

Publisher: PEARSON

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Chapter 5, Problem 5.42SP

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The wavelength in meters of photons with the following energies and the region of the electromagnetic spectrum each appears.

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Chapter 5, Problem 5.41SP

Chapter 5, Problem 5.43SP

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The wavelength in meters of photons with the following energies and the region of the electromagnetic spectrum each appears.

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To determine: The wavelength in meters of photons with the following energies and the region of the electromagnetic spectrum each appears.

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Chapter 5 Solutions

To determine:

The wavelength in meters of photons with the following energies and the region of the electromagnetic spectrum each appears.