Question

A light photon with a frequency of at least 0.108 × 1016 Hz is required to split apart dihydrogen according to the equation: H2(g) → 2H(g) Calculate the energy (kJ) required to break apart a mole of dihydrogen. Express answer in scientific notation.

Answer 1

2.825*10^{3}kJ/mol

Step-by-step explanation:

We need to calcule the energy of a photon using Planks Formula:

`E=hv`

Where h is planks constant (6.62607004 × 10-34 m2 kg / s) and v is the frequency of the photon, the resulting energy will result in J/molecule if we want the energy in kJ/mol we need to divide by 1000 to change J into kJ and multiply by avogadros number:

`E=(6.6260*10^(-34)m^(2)kg/s*0.108*10^(16)s^(-1))J/molecule*(1kJ/1000 J)*(6.023*10^(23)molecules/mol)=2.825*10^(3)kJ/mol`