The hydrolysis of sucrose occurs by the overall reaction: C12H22O1(s) + H20(1)) → C,H12O6(aq) + C6H12O6(aq) Glucose Sucrose Fructose A nutritional biochemist obtains the following kinetic data for the hydrolysis of sucrose: Isucroce

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The hydrolysis of sucrose occurs by the overall reaction:

\[ \text{C}_{12}\text{H}_{22}\text{O}_{11(s)} + \text{H}_{2}\text{O}_{(l)} \rightarrow \text{C}_{6}\text{H}_{12}\text{O}_{6(aq)} + \text{C}_{6}\text{H}_{12}\text{O}_{6(aq)} \]

**Sucrose** (solid) + **Water** (liquid) → **Glucose** (aqueous) + **Fructose** (aqueous)

A nutritional biochemist obtains the following kinetic data for the hydrolysis of sucrose:

| **[sucrose] (mole/L)** | **Time (hours)** |
|-------------------------|------------------|
| 0.501                   | 0.00             |
| 0.451                   | 0.50             |
| 0.404                   | 1.00             |
| 0.363                   | 1.50             |
| 0.267                   | 5.00             |

a. **Determine the rate constant and the half-life of the reaction.**

b. **How long does it take to hydrolyze 50% of the sucrose?**

c. **Other studies have shown that the reaction is actually second order overall, but it appears to follow first-order kinetics. (Such a reaction is called a pseudo-first order reaction.) Suggest a reason for this apparent first-order behavior.**
Transcribed Image Text:The hydrolysis of sucrose occurs by the overall reaction: \[ \text{C}_{12}\text{H}_{22}\text{O}_{11(s)} + \text{H}_{2}\text{O}_{(l)} \rightarrow \text{C}_{6}\text{H}_{12}\text{O}_{6(aq)} + \text{C}_{6}\text{H}_{12}\text{O}_{6(aq)} \] **Sucrose** (solid) + **Water** (liquid) → **Glucose** (aqueous) + **Fructose** (aqueous) A nutritional biochemist obtains the following kinetic data for the hydrolysis of sucrose: | **[sucrose] (mole/L)** | **Time (hours)** | |-------------------------|------------------| | 0.501 | 0.00 | | 0.451 | 0.50 | | 0.404 | 1.00 | | 0.363 | 1.50 | | 0.267 | 5.00 | a. **Determine the rate constant and the half-life of the reaction.** b. **How long does it take to hydrolyze 50% of the sucrose?** c. **Other studies have shown that the reaction is actually second order overall, but it appears to follow first-order kinetics. (Such a reaction is called a pseudo-first order reaction.) Suggest a reason for this apparent first-order behavior.**
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