Final answer:
The energy associated with an infrared photon with a wavelength of 5.80 μm is approximately 3.43 × 10^-20 J.
Step-by-step explanation:
The energy associated with an infrared photon with a wavelength of 5.80 μm can be calculated using the equation E = nhf. Plugging in the given values:
- Wavelength (λ) = 5.80 μm = 5.80 × 10-6 m
The frequency (f) can be calculated using the formula c = λf, where c is the speed of light. Rearranging the formula to solve for f:
- f = c/λ = (3.00 × 108 m/s) / (5.80 × 10-6 m) ≈ 5.17 × 1013 Hz
Now, we can calculate the energy (E):
- E = h·ƒ = (6.63 × 10-34 J·s) (5.17 × 1013 Hz) ≈ 3.43 × 10-20 J
Therefore, the energy associated with an infrared photon with a wavelength of 5.80 μm is approximately 3.43 × 10-20 J.