In an alternate universe where Rh= 9.9x10-8J. What is the energy change in nanojoules of an electron transitioning from n=5 to n=2.

Formatting:

Do not use scientific notation.
Report to 2 sig figs
Do not include units in your answers. Make sure to report in nanojoules
Make sure your sign is right no points if its wrong.

Question

In an alternate universe where Rh= 9.9x10-8J. What is the energy change in nanojoules of an electron transitioning from n=5 to n=2.

Formatting:

Do not use scientific notation. 
Report to 2 sig figs
Do not include units in your answers. Make sure to report in nanojoules
Make sure your sign is right no points if its wrong.

BlackTom AI · Accepted Answer

The problem uses a hydrogen-like energy level expression with a given Rydberg constant R_H = 9.9e-8 J.

First, write the energy of a level: E_n = -R_H / n^2. Therefore, E_i for n_i = 5 is -R_H / 25, and E_f for n_f = 2 is -R_H / 4.

Next, compute the energy change: ΔE = E_f - E_i = (-R_H / 4) - (-R_H / 25) = -R_H(1/4 - 1/25).

Calculate the bracket: 1/4 = 0.25 and 1/25 = 0.04, so 0.25 - 0.04 = 0.21.

Now multiply by R_H: ΔE = - (9.9e-8 J) × 0.21 = -2.079e-8 J.

Convert to nanojoules: 1 J = 1e9 nJ, so ΔE = -2.079e-8 J × (1e9 nJ / 1 J) = -20.79 nJ.

Rounding to two significant figures gives ΔE ≈ -21 nJ. The negative sign indicates the electron releases energy (a drop in energy).

类似问题

To excite an atom, an incoming photon must have energy

The figure shows the energy levels of a mercury atom. The atom is initially in the 2nd excited state. Which one of the following photon energies cannot be emitted by a mercury atom which is initially in its 2nd excited state?

The hydrogen emission spectrum only shows a few discrete emission lines. This is because:

When an atom emits a photon, how does the photon's energy depend on the energy of the electron orbits?

Which one of the following is the energy of an electron in the n = 5 level of a hydrogen atom?

The lowest energy of an electron in atom is called?

The arrows in the figure depict the transition of an electron in the H atom. A photon is absorbed when the transition occurs. Which transition requires the absorption of the highest energy photon?

The arrows in the figure depict the transition of an electron in the H atom. Which transition requires the absorption of the highest energy photon?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单