Carbon absorbs energy at a wavelength of 150 . nm. The total amount of energy emitted by a carbo

step 1 So the first thing that we need to find is the energy per photon with this equation. So let's pl

Carbon absorbs energy at a wavelength of 150 . nm. The total...

Carbon absorbs energy at a wavelength of $150 . \mathrm{nm}$. The total amount of energy emitted by a carbon sample is $1.98 \times 10^{5} \mathrm{~J}$. Calculate the number of carbon atoms present in the sample, assuming that each atom emits one photon.

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Key Concepts

Energy Quantization

Energy quantization is the idea that energy is not continuous but comes in discrete packets called quanta or photons. This concept explains why individual atoms emit or absorb energy in specific amounts, and it forms the basis for calculating the number of discrete energy events, such as photon emissions, in a given energy sample.

Photon Energy Calculation

This key concept involves determining the energy of a single photon using the relation E = hc/?, where h is Planck’s constant, c is the speed of light, and ? is the wavelength. It is a fundamental principle in quantum mechanics that tells us how the energy carried by a photon is directly related to its wavelength or frequency.

Conversion of Total Energy to Number of Particles

This concept involves dividing the total energy of a system by the energy per event (or per photon) to determine the number of events, such as the number of photons or emitting atoms. It applies the principle of conservation of energy at the quantum level and is useful for connecting macroscopic energy measurements to microscopic particle counts.

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