Answer:
So, the energy of one mole of photons with a frequency of
6.5 × 10^9 Hz is approximately 2.5918 × 10^−1 Joules per mole.
Step-by-step explanation:
To calculate the energy of one mole of photons with a given frequency, you can use the formula for the energy of a photon:
E=hν
Where:
* E is the energy of the photon.
* h is Planck's constant, which is approximately 6.626 × 10^−34 Joules per second (J·s).
* ν is the frequency of the photon.
Given the frequency
ν = 6.5 ×10^9 Hz, we can calculate the energy of one photon:
E=(6.626 × 10 ^−34 J⋅s)×(6.5 × 10^9 Hz)=4.299 × 10^−24 J
Now, to find the energy of one mole of photons, you need to multiply this energy by Avogadro's number (the number of entities in a mole), which is approximately 6.022 × 10^23 entities/mole:
E mole =(4.299 × 10^−24 J/photon)×(6.022 × 10^23 photons/mole)
Calculate the energy:
E mole ≈2.5918 × 10^−1 J/mole