The electron in an (unbound) hydrogen atom (H(g)) is excited from the ground state to the n=3 state. Which of the following statements are true and which are false. 1) The first excited state corresponds to n=3. 2) The wavelength of light emitted when the electron drops from n=3 to n=2 is shorter than the wavelength of light emitted if the electron falls from n=3 to n=1. 3) It takes more energy to ionize the electron from n=3 than it does from the ground state. 4) The wavelength of the light emitted when the electron returns to the ground state from n=3 is larger than the wavelength of light absorbed to go from n=1 to n=3. 5) The electron is farther from the nucleus on average in the n=3 state than in the ground state.

2) The wavelength of light emitted when the electron drops from n=3 to n=2 is shorter than the wavelength of light emitted if the electron falls from n=3 to n=1. TRUE. As the n=2 state is in a higher energy than n=1, the energy difference between n=2 and n=3 are shorter than differences between n=1 and n=3 states.

3) It takes more energy to ionize the electron from n=3 than it does from the ground state. FALSE. An electron with a high energy will be less-atracted by the nucleus than a electron with a low energy because is farther of it.

4) The wavelength of the light emitted when the electron returns to the ground state from n=3 is larger than the wavelength of light absorbed to go from n=1 to n=3. FALSE. The energy differences in light emitted and light absorbed is the same.

5) The electron is farther from the nucleus on average in the n=3 state than in the ground state. TRUE. According Bohr's model, the greater energy level, the farther from the nucleus it is.

I hope it helps!

facundo3141592 facundo3141592 · Answer 2 · 2022-03-08T13:27:39+01:00

The statements about the hydrogen atoms are:

1) false.
2) false.
3) true.
4) false.
5) true.

What statements are true about the hydrogen atom?

We will analyze each statement and let's see which ones are true.

1) This is false, the ground state of the hydrogen atom is the 1s state, which corresponds to n = 1, and the first excited states are the 2s and 2p ones, corresponding to n = 2.

2) The wavelength depends on the jump of energy, from n = 3 to n = 2 the jump is:

e = -13.6 eV*( 1/2^2 - 1/3^2) = -1.88 eV

for n = 3 to n = 1 the jump is:

e = -13.6eV*(1 - 1/3^2) = -12.1 eV

So the jump from n = 2 to n = 1 has a larger energy, meaning that its wavelength is shorter, then the statement is false.

3) True, the bound energy decreases as n increases.

[tex]E_n = \frac{-13.6eV}{n^2}[/tex]

4) Because the energy difference is the same in absolute value, the wavelength will be the same, so this is false.

5) This is true, as n increases, the average radius also increases.

If you want to earn more about the hydrogen atom, you can read:

https://brainly.com/question/4597871