The human eye contains a molecule called 11 -cis-retinal...

The human eye contains a molecule called 11 -cis-retinal that changes shape when struck with light of sufficient energy. The change in shape trifecers a serles of events that result in an electrical slgnal being sent to the bealn that results in vision. The minimum energy required to change the conformation of 11 -cis-fetinal within the eye is about 164 kJ / mol. Calculate the longest wavelength visible to the human eye.

Key Concepts

Electromagnetic Spectrum

The electromagnetic spectrum encompasses all wavelengths of light, and the visible spectrum is the portion that the human eye can detect. Understanding the range and limits of the visible spectrum is important when relating calculated wavelengths to human vision and ensuring that the results fall within the observable range.

Unit Conversion and Avogadro’s Number

Often, energy is given in units per mole rather than per photon. Converting molar energy to energy per photon involves dividing by Avogadro’s number. This conversion is crucial in problems requiring the application of Planck’s equation when the provided energy is in kJ/mol or similar units.

Planck’s Equation

Planck’s equation, E = hc/?, links the energy of a photon directly to its wavelength. It is a critical tool for converting between energy and wavelength, indicating that higher photon energies correspond to shorter wavelengths. This equation is essential when determining the wavelength of light required to induce a specific energy change in a molecule.

Photon Energy

Photon energy is a fundamental concept in quantum physics where each photon carries a discrete amount of energy proportional to its frequency. This relationship is central to understanding how light interacts with molecules, with energy given by the equation E = h * f, where h is Planck's constant and f is the frequency of light.

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