Which of the following represents an increase in the potential energy of the system? A. Na → Na+ + e¯ B. A periodic table falls off the wall C. Ca2+ + 2e → Ca D. A firecracker explodes E. Gasoline is burned and creates CO₂ and H₂O

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Chapter1: Chemical Foundations
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**Question:**

Which of the following represents an *increase* in the potential energy of the system?

**Options:**

A. \( \text{Na} \rightarrow \text{Na}^+ + e^- \)

B. A periodic table falls off the wall

C. \( \text{Ca}^{2+} + 2e^- \rightarrow \text{Ca} \)

D. A firecracker explodes

E. Gasoline is burned and creates \( \text{CO}_2 \) and \( \text{H}_2\text{O} \)

**Explanation:**

- **Option A** represents the ionization of sodium where an electron is removed. This typically results in a decrease in potential energy as energy is required to remove an electron.
  
- **Option B** involves a periodic table falling, which converts potential energy (when it is on the wall) to kinetic energy (as it falls), also decreasing potential energy.
  
- **Option C** shows a reduction reaction where calcium ions gain electrons to form calcium metal. This process involves a gain in stored energy, increasing potential energy.
  
- **Option D** describes an explosion, which rapidly transforms chemical potential energy into kinetic energy and sound energy, not an increase in potential energy.
  
- **Option E** is the burning of gasoline, where chemical potential energy is converted to kinetic, heat, and light energy, again decreasing potential energy.

The correct answer is **C**, as it involves storing energy by converting ions to a neutral state.
Transcribed Image Text:**Question:** Which of the following represents an *increase* in the potential energy of the system? **Options:** A. \( \text{Na} \rightarrow \text{Na}^+ + e^- \) B. A periodic table falls off the wall C. \( \text{Ca}^{2+} + 2e^- \rightarrow \text{Ca} \) D. A firecracker explodes E. Gasoline is burned and creates \( \text{CO}_2 \) and \( \text{H}_2\text{O} \) **Explanation:** - **Option A** represents the ionization of sodium where an electron is removed. This typically results in a decrease in potential energy as energy is required to remove an electron. - **Option B** involves a periodic table falling, which converts potential energy (when it is on the wall) to kinetic energy (as it falls), also decreasing potential energy. - **Option C** shows a reduction reaction where calcium ions gain electrons to form calcium metal. This process involves a gain in stored energy, increasing potential energy. - **Option D** describes an explosion, which rapidly transforms chemical potential energy into kinetic energy and sound energy, not an increase in potential energy. - **Option E** is the burning of gasoline, where chemical potential energy is converted to kinetic, heat, and light energy, again decreasing potential energy. The correct answer is **C**, as it involves storing energy by converting ions to a neutral state.
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