Since it doesn't give us a number of sig figs in the beginning of the question at all, we could determine our own number of Sig figs here. 18 Jules one squared is just 12 squared is four. They tell us that the second shell so and equals two. Remember? And here is the energy level or shell number. Since its hydrogen, its atomic number is one so that be one squared, divided by and squared. Z equals the atomic number of the element. 2.178 times 10 to the negative 18 jewels. So Delta e equals negative are times Z squared over and squared. Alright, since we're looking for the energy of an electron within a given shell, we're looking for its potential energy. Here in this to counted the energy of an electron found in the second shell of the hydrogen atom. So just remember, electrons travel within orbits around the nucleus, and by using this potential energy formula, you could determine the potential energy associated with any particular electron within a given. For example, hydrogen first element on the periodic table has an atomic number of one and then n squared on the bottom, remember, and would just be the shell number or energy level for that particular electron. Z here equals the atomic number of an element. And that's gonna be times Z squared over and squared. Well, we're going to say here the energy of an electron within a specific shell can determined by Delta, E or E N, which is the potential energy of an electron equals negative times are, which is our right Burt Constant, which we said is 2.178 times 10 to the negative jewels. We're going in greater context in terms of that, when we talk about the quantum numbers Now, how do we tie this into the energy of a particular electron? Because, remember, we said that the shell number ties into their potential energy. And remember here we said Shell, it uses the variable end and we're gonna say n equals R shell number, but also what we call our energy level. So this is shell to, and this would be shell three. This is our second orbit, where we find three more electrons. This is our first orbit or our first shell so n equals one. And we're going to say if we take a look, here's our nucleus. Remember, electrons themselves are negatively charged. Orbiting around the nucleus in these orbits or shells are are electrons. Remember, protons are positively charged. Remember, That's where we find our protons and our neutrons. Now, if we're looking at boards model, remember, in our boards model, we have our nucleus here in orange and within the nucleus. And when it's dealing with jewels, the value is 2.178 times 10 to the negative 18 as the value for Rydberg constant. So their energy of position, we're gonna say associated with boards model is what we call the Rydberg constant. Now these shells used the variable end and a shell is just a grouping of electrons surrounding the nucleus that ties into their potential energy.

Now in the boar model of the atom, electrons travel around the nucleus in circular orbits, which we call shells.

Boron atom bohr model