Question

What is the wavelength (in meters) of photons with the following energies?

93.0 kJ/mol

8.25×10⁻⁴ kJ/mol

1860 kJ/mol

Answer 1

Use the following equation:

E = h*c / so: = h*c / E

Where:

h = planck constant = 6.63x10^-34 J s

c = speed of light = 3x10⁸ m/s

With these values and the energies given, calculate wavelenght for every energy, but first, let's neglect the moles:

93,000 J/mol * 1 mol / 6.022x10^23 atoms = 1.52x10^-19 J

1 = 6.63x10^-34 * 3x10⁸ / 1.54x10^-19 = 1.29x10^-6 m

0.825 / 6.022x10²³ = 1.37x10^-24 J

2 = 6.63x10^-34 * 3x10⁸ / 1.37x10^-24 = 0.1452 m

1860000 / 6.02x10²³ = 3.09x10^-18

3 = 6.63x10^-34 * 3x10⁸ / 3.09x10^-18 = 6.44x10^-8 m

Hope this helps.