Answer:
Step-by-step explanation:
To calculate the energy of an electron in energy level 3 of a hydrogen atom, we can use the formula:
E = -(13.6 eV) / n^2
where E is the energy in electron volts (eV) and n is the energy level.
First, we need to convert the energy from electron volts to joules. Since 1 eV is equal to 1.6 x 10^-19 joules, we can multiply the energy in eV by 1.6 x 10^-19 to convert it to joules.
Given that the electron is in energy level 3 (n = 3), we can substitute this value into the formula:
E = -(13.6 eV) / (3^2)
Simplifying the equation, we have:
E = -(13.6 eV) / 9
Now, let's calculate the energy in eV:
E = -(13.6 eV) / 9 = -1.51 eV
To convert this energy to joules, we can multiply it by 1.6 x 10^-19:
E (in joules) = (-1.51 eV) x (1.6 x 10^-19 J/eV) = -2.42 x 10^-19 joules
Therefore, the energy of the electron in energy level 3 of a hydrogen atom is approximately -2.42 x 10^-19 joules.