Question

the electromagnetic spectrum and electronic transitionsenergy of o=o bondthe energy required to break one oxygen-oxygen double bond is calculated to be 8.28 x 10⁻¹⁹ j.calculate the minimum energy, in kj/mol, to break one mole of oxygen-oxygen double bonds.useful equations and constants:c = λνe = hνc = 3.0 x 10⁸ m/sh = 6.626 x 10⁻³⁴ j·savogadros number = 6.02 x 10²³ mol⁻¹what is the energy required to break one mole of oxygen double bonds?1.37 x 10⁻³⁹ kj/mol49800 kj/mol7.27 x 10⁴⁴ kj/mol498 kj/mol

Explanation:

Step1: Calculate total energy in joules

Multiply energy per bond by Avogadro's number:
$E_{\text{total (J/mol)}} = 8.28 \times 10^{-19}\ \text{J} \times 6.02 \times 10^{23}\ \text{mol}^{-1}$
$E_{\text{total (J/mol)}} = 4.98456 \times 10^{5}\ \text{J/mol}$

Step2: Convert joules to kilojoules

Divide by 1000 (since $1\ \text{kJ}=1000\ \text{J}$):
$E_{\text{total (kJ/mol)}} = \frac{4.98456 \times 10^{5}\ \text{J/mol}}{1000}$
$E_{\text{total (kJ/mol)}} \approx 498\ \text{kJ/mol}$

Answer:

D. 498 kJ/mol