the equation 1 (2) = (-2.18 n² late the energy of an electro (hcRH)

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Part A**

Using the equation

\[ E = \left(hcR_H\right)\left(\frac{1}{n^2}\right) = \left(-2.18 \times 10^{-18}\, \text{J}\right)\left(\frac{1}{n^2}\right) \]

calculate the energy of an electron in the hydrogen atom when \( n = 2 \).

Express your answer in joules to three significant figures.

**Answer Box:**

\[ E_2 = \, \text{J} \]

**Buttons:**
- Submit
- Request Answer
Transcribed Image Text:**Part A** Using the equation \[ E = \left(hcR_H\right)\left(\frac{1}{n^2}\right) = \left(-2.18 \times 10^{-18}\, \text{J}\right)\left(\frac{1}{n^2}\right) \] calculate the energy of an electron in the hydrogen atom when \( n = 2 \). Express your answer in joules to three significant figures. **Answer Box:** \[ E_2 = \, \text{J} \] **Buttons:** - Submit - Request Answer
**Part B**

Using the equation:

\[ 
E = (hcR_H) \left(\frac{1}{n^2}\right) = \left(-2.18 \times 10^{-18} \, \text{J}\right) \left(\frac{1}{n^2}\right) 
\]

Calculate the energy of an electron in the hydrogen atom when \( n = 4 \).

Express your answer in joules to three significant figures.

---

**Answer Entry Box:** 

Input your calculated value for \( E_4 \) in the text box provided, ensuring your answer is in joules (J).

**Buttons and Tools:**

- Mathematical operations (e.g., square root, exponentiation)
- Symbol insertion
- Undo/Redo actions
- Option for a virtual keyboard

**Actions:**

- Submit your calculated answer by clicking the "Submit" button.
- If needed, you may request the answer by clicking "Request Answer."

Ensure all calculations assume units consistent with the SI system, and apply significant figures appropriately for precision in scientific communication.
Transcribed Image Text:**Part B** Using the equation: \[ E = (hcR_H) \left(\frac{1}{n^2}\right) = \left(-2.18 \times 10^{-18} \, \text{J}\right) \left(\frac{1}{n^2}\right) \] Calculate the energy of an electron in the hydrogen atom when \( n = 4 \). Express your answer in joules to three significant figures. --- **Answer Entry Box:** Input your calculated value for \( E_4 \) in the text box provided, ensuring your answer is in joules (J). **Buttons and Tools:** - Mathematical operations (e.g., square root, exponentiation) - Symbol insertion - Undo/Redo actions - Option for a virtual keyboard **Actions:** - Submit your calculated answer by clicking the "Submit" button. - If needed, you may request the answer by clicking "Request Answer." Ensure all calculations assume units consistent with the SI system, and apply significant figures appropriately for precision in scientific communication.
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