How much energy (in kJ) is required to ionize 2.22 moles of hydrogen atoms?


To calculate the energy required to ionize 2.22 moles of hydrogen atoms, we can use the concept of ionization energy, which refers to the energy needed to remove an electron from a single hydrogen atom.

For a hydrogen atom, the ionization energy is 13.6 eV (electron volts).

### Steps to calculate:
1. Convert the ionization energy from electron volts (eV) to joules (J):
   \[
   1\ \text{eV} = 1.602 \times 10^{-19}\ \text{J}
   \]
   Therefore:
   \[
   13.6\ \text{eV} = 13.6 \times 1.602 \times 10^{-19}\ \text{J} = 2.17872 \times 10^{-18}\ \text{J}
   \]

2. The energy required to ionize one mole of hydrogen atoms (also known as the molar ionization energy) can be obtained by multiplying the ionization energy by Avogadro's number \((N_A = 6.022 \times 10^{23}\ \text{atoms/mol})\):
   \[
   E_{\text{mole}} = 2.17872 \times 10^{-18}\ \text{J} \times 6.022 \times 10^{23}\ \text{mol}^{-1}
   = 1.311 \times 10^{6}\ \text{J/mol}
   \]

3. To find the total energy required to ionize 2.22 moles of hydrogen atoms, multiply the molar ionization energy by 2.22 moles:
   \[
   E_{\text{total}} = 1.311 \times 10^{6}\ \text{J/mol} \times 2.22\ \text{mol}
   = 2.91042 \times 10^6\ \text{J}
   \]

4. Finally, convert joules to kilojoules:
   \[
   2.91042 \times 10^6\ \text{J} = 2910.42\ \text{kJ}
   \]

### Conclusion:
The energy required to ionize 2.22 moles of hydrogen atoms is approximately **2910.42 kJ**.

---

Would you like more details or further clarifications?

Here are 5 related questions to explore:
1. What is ionization energy and how is it measured?
2. How does the ionization energy vary for different elements?
3. What are the effects of temperature on ionization energy?
4. How is ionization energy related to atomic structure?
5. How would ionization energy differ for ions compared to neutral atoms?

**Tip:** Always double-check unit conversions, especially when working with energy values across different scales like eV and joules.

How much energy (in kJ) is required to ionize 2.22 moles of hydrogen atoms?

Discover how to calculate the energy required to ionize 2.22 moles of hydrogen atoms. Learn about ionization energy, energy conversion from eV to joules, and the mole concept. Detailed steps and formulas are provided, ideal for high school students in Grades 11-12.

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