Optimistic Calculation of Photon Energy

When we encounter a question like "What is the energy (in J) of a mole of photons that have a wavelength of 701 nm?" we can approach it with a positive outlook, knowing that we have the tools to find the answer. In this case, we can utilize fundamental equations in physics to determine the energy of the photons.

Planck's Equation

Planck's equation, E = hν, relates the energy of a photon to its frequency. Since the wavelength is given, we can first calculate the frequency using the speed of light and the wavelength. The frequency (ν) can be obtained by the equation c = λν, where c is the speed of light and λ is the wavelength.

1. Convert the wavelength of 701 nm to meters: 701 nm = 701 × 10^-9 m
2. Calculate the frequency using the equation v = c / λ
3. Determine the energy per photon using Planck's equation: E = hν
4. Multiply the energy per photon by Avogadro's number to get the energy per mole of photons

By following these steps and remaining optimistic in our approach to problem-solving, we can find the energy of a mole of photons with a wavelength of 701 nm. Embracing a positive mindset in tackling scientific inquiries not only helps us find solutions but also fosters a sense of curiosity and learning.