The molecule 2,2'-bipyridine (1) forms a complex with the Ru²* ion. Ruthenium(II) tris-(2,2'-bipyridyl), Ru(bipy)* (2), has a strong metal-to-ligand charge transfer (MLCT) transition (Section 14.2) at 450 nm. The quenching of the *Ru(bipy);* excited state by Fe(H,O);* in acidic solution was monitored by meas- uring emission lifetimes at 600 nm. Determine the quenching rate constant for this reaction from the following data: N. N 12,2-Bipyridine (bipy 그2+ (Fe(H,O);"]/(10-4 mol dm³) t/(10-7 s) ㅇ 1.6 4.7 9.4 6 4.05 3.37 2.96 2.17

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### Quenching of Ru(bipy)32+ Excited State by Fe(H2O)63+ in Acidic Solution

#### Overview
The molecule 2,2'-bipyridine (1) forms a complex with the Ru²⁺ ion. The complex, Ruthenium(II) tris-(2,2'-bipyridyl), designated as Ru(bipy)₃²⁺ (2), exhibits a strong metal-to-ligand charge transfer (MLCT) transition at 450 nm. The quenching of the *Ru(bipy)₃²⁺ excited state by Fe(H₂O)₆³⁺ in an acidic solution was monitored through emission lifetimes measured at 600 nm. The objective is to determine the quenching rate constant for this reaction based on the provided data.

#### Chemical Structures
- **2,2'-Bipyridine (bipy):**
  
  ![2,2'-Bipyridine](data:image/png;base64,...)

- **Ru(bipy)₃²⁺:**
  
  ![Ru(bipy)₃²⁺](data:image/png;base64,...)

#### Data
The table below displays the measured emission lifetimes as a function of the concentration of Fe(H₂O)₆³⁺:

| [Fe(H₂O)₆³⁺] (x10⁻⁴ mol dm⁻³)   | 0   | 1.6 | 4.7 | 7   | 9.4 |
|---------------------------------|-----|-----|-----|-----|-----|
| t (x10⁻⁷ s)                     | 6   | 4.05| 3.37| 2.96| 2.17|

#### Explanation of Graphs/Diagrams
- **Chemical structures:** The chemical structure of 2,2'-bipyridine is depicted, showing two pyridine rings connected by a carbon-carbon bond. The structure of Ru(bipy)₃²⁺ is also shown, illustrating the tris-complex formed between ruthenium (II) and three 2,2'-bipyridine ligands.

The provided data should be used to calculate the quenching rate constant, which represents how efficiently the Fe(H₂O)₆³⁺ molecule quenches the excited state of Ru(bipy
Transcribed Image Text:### Quenching of Ru(bipy)32+ Excited State by Fe(H2O)63+ in Acidic Solution #### Overview The molecule 2,2'-bipyridine (1) forms a complex with the Ru²⁺ ion. The complex, Ruthenium(II) tris-(2,2'-bipyridyl), designated as Ru(bipy)₃²⁺ (2), exhibits a strong metal-to-ligand charge transfer (MLCT) transition at 450 nm. The quenching of the *Ru(bipy)₃²⁺ excited state by Fe(H₂O)₆³⁺ in an acidic solution was monitored through emission lifetimes measured at 600 nm. The objective is to determine the quenching rate constant for this reaction based on the provided data. #### Chemical Structures - **2,2'-Bipyridine (bipy):** ![2,2'-Bipyridine](data:image/png;base64,...) - **Ru(bipy)₃²⁺:** ![Ru(bipy)₃²⁺](data:image/png;base64,...) #### Data The table below displays the measured emission lifetimes as a function of the concentration of Fe(H₂O)₆³⁺: | [Fe(H₂O)₆³⁺] (x10⁻⁴ mol dm⁻³) | 0 | 1.6 | 4.7 | 7 | 9.4 | |---------------------------------|-----|-----|-----|-----|-----| | t (x10⁻⁷ s) | 6 | 4.05| 3.37| 2.96| 2.17| #### Explanation of Graphs/Diagrams - **Chemical structures:** The chemical structure of 2,2'-bipyridine is depicted, showing two pyridine rings connected by a carbon-carbon bond. The structure of Ru(bipy)₃²⁺ is also shown, illustrating the tris-complex formed between ruthenium (II) and three 2,2'-bipyridine ligands. The provided data should be used to calculate the quenching rate constant, which represents how efficiently the Fe(H₂O)₆³⁺ molecule quenches the excited state of Ru(bipy
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