The decomposition of N,Os to NO2 and O2 is first order, with a rate constant of 4.80 × 104/s at 45°C. If the initial concentration of N,Os is 3.92×10 mol L, what is the concentration of N,Os after 406 s? How long would it take for the concentration of N2O5 to decrease to 1.00 x 10² mol/L from an initial concentration of 3.92×10² mol/L? mol L Submit Show Tutor Steps

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**Title: Kinetics of the Decomposition of N₂O₅**

The decomposition of \( \text{N}_2\text{O}_5 \) to \( \text{NO}_2 \) and \( \text{O}_2 \) is a first-order reaction, characterized by a rate constant of \( 4.80 \times 10^{-4} \, \text{s}^{-1} \) at 45°C. Given an initial concentration of \( \text{N}_2\text{O}_5 \) as \( 3.92 \times 10^{-2} \, \text{mol/L} \):

**Questions:**

1. **Concentration Determination:** What will be the concentration of \( \text{N}_2\text{O}_5 \) after 406 seconds?

   - **Answer Input Box:**  _________ mol/L

2. **Time Calculation:** How long would it take for the concentration of \( \text{N}_2\text{O}_5 \) to decrease to \( 1.00 \times 10^{-2} \, \text{mol/L} \) from an initial concentration of \( 3.92 \times 10^{-2} \, \text{mol/L}?**

   - **Answer Input Box:**  _________ s

**Actions:**

- **Submit**: To check your answers, press the "Submit" button.
- **Show Tutor Steps**: Click to reveal detailed step-by-step solutions and explanations.

This exercise helps understand the kinetics of first-order reactions, focusing on calculations related to reaction rates and concentrations over time.
Transcribed Image Text:**Title: Kinetics of the Decomposition of N₂O₅** The decomposition of \( \text{N}_2\text{O}_5 \) to \( \text{NO}_2 \) and \( \text{O}_2 \) is a first-order reaction, characterized by a rate constant of \( 4.80 \times 10^{-4} \, \text{s}^{-1} \) at 45°C. Given an initial concentration of \( \text{N}_2\text{O}_5 \) as \( 3.92 \times 10^{-2} \, \text{mol/L} \): **Questions:** 1. **Concentration Determination:** What will be the concentration of \( \text{N}_2\text{O}_5 \) after 406 seconds? - **Answer Input Box:** _________ mol/L 2. **Time Calculation:** How long would it take for the concentration of \( \text{N}_2\text{O}_5 \) to decrease to \( 1.00 \times 10^{-2} \, \text{mol/L} \) from an initial concentration of \( 3.92 \times 10^{-2} \, \text{mol/L}?** - **Answer Input Box:** _________ s **Actions:** - **Submit**: To check your answers, press the "Submit" button. - **Show Tutor Steps**: Click to reveal detailed step-by-step solutions and explanations. This exercise helps understand the kinetics of first-order reactions, focusing on calculations related to reaction rates and concentrations over time.
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