A lithium flame has a characteristic red color due to...

A lithium flame has a characteristic red color due to emission of light of wavelength $671 \mathrm{nm}$. What is the mass equivalence of $1 \mathrm{~mol}$ of photons with this wavelength $\left(1 \mathrm{~J}=1 \mathrm{~kg} \cdot \mathrm{m}^{2} / \mathrm{s}^{2}\right) ?$

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Key Concepts

Avogadro's Number

A mole is defined as containing a fixed number of particles, specifically Avogadro's constant (approximately 6.022 x 10^23), particles per mole. This concept allows the scaling of the energy calculated for a single photon to one mole of photons, which is essential in many chemical and physical calculations.

Mass-Energy Equivalence

Based on Einstein's famous relation E = m*c^2, this principle states that energy and mass are interchangeable. In this context, it allows for the conversion of the total energy of one mole of photons into an equivalent mass, linking energy emitted or absorbed in processes directly to changes in mass.

Photon Energy

This concept involves the quantization of electromagnetic radiation, where each photon possesses energy given by the formula E = h*c/?. Here, h (Planck's constant) and c (the speed of light) are fundamental constants, and ? is the wavelength of the photon. This relationship underpins how light of a particular wavelength corresponds to a specific energy per photon.

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