Question

calculate the energy in joules per photon and in kilojoules per mole of the microwaves with a frequency of 6.6987×10^10 hz. e_molar = kj/mol

Explanation:

Step1: Calculate energy per photon

Use the formula $E = h
u$, where $h = 6.626\times 10^{-34}\ J\cdot s$ (Planck's constant) and $
u=6.6987\times 10^{10}\ Hz$.
$E = 6.626\times 10^{-34}\ J\cdot s\times6.6987\times 10^{10}\ Hz= 4.430\times 10^{-23}\ J$ per photon.

Step2: Calculate energy per mole of photons

Use Avogadro's number $N_A = 6.022\times 10^{23}\ mol^{-1}$. Multiply the energy per photon by $N_A$ and convert to kJ.
$E_{molar}=4.430\times 10^{-23}\ J\times6.022\times 10^{23}\ mol^{-1}=26.68\ J/mol$.
Convert to kJ/mol: $E_{molar}=\frac{26.68\ J/mol}{1000}= 0.02668\ kJ/mol$.

Answer:

$0.02668$