Answer:
The energy is 1.36 10³ zJ
Step-by-step explanation:
The equation for hydrogram atom energy with the Bohr model is
Eₙ = -13.606 / n² [eV]
This equation gives the result in electron volts that can be transformed to joule,
1 eV = 1.6 10-19 J
Let's calculate the energy and then reduce
n = 4
E₄ = -13.606 / 4²
E₄ = 0.85 eV
E₄ = 0.85 eV (1.6 10⁻¹⁹ J / 1 eV)
E₄= 1.36 10⁻¹⁹ J
Now we reduce to this submultiple of the correct unit
1 zepto = 10⁻²¹
1 J = 10 21 zJ
E4 = 1.36 10⁻¹⁹ J (10 21 zJ / J)
E4 = 1.36 10³ zJ
The energy is 1.36 10³ zJ