Answer:
the energy of one mole of photons of visible light with a wavelength of 585 nm is 3.39 x 10^-22 kJ/mol.
Explanation:
To calculate the energy of one mole of photons of visible light with a wavelength of 585 nm, we need to use the formula:
energy = (Planck's constant * speed of light) / wavelength
1. Find the Planck's constant.
- The Planck's constant (h) is approximately 6.626 x 10^-34 J·s.
2. Find the speed of light.
- The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s).
3. Convert the wavelength from nanometers (nm) to meters (m).
- 585 nm = 585 x 10^-9 m.
4. Substitute the values into the formula.
- energy = (6.626 x 10^-34 J·s * 3.00 x 10^8 m/s) / (585 x 10^-9 m)
- Simplifying the expression: energy = 3.39 x 10^-19 J.
5. Convert the energy from joules (J) to kilojoules (kJ).
- 1 kJ = 1000 J.
- energy = 3.39 x 10^-19 J / 1000
- Simplifying the expression: energy = 3.39 x 10^-22 kJ.
Therefore, the energy of one mole of photons of visible light with a wavelength of 585 nm is 3.39 x 10^-22 kJ/mol.
