I The enzyme a-chymotrypsin is secreted in the pancreas of mamma and cleaves peptide bonds made between certain amino acids. Several solution containing the small peptide N-glutaryl-L-phenylalanine-p-nitroanilide at diffe ent concentrations were prepared and the same small amount of a-chymotryps was added to each one. The following data were obtained on the initial rates of th formation of product: [S]/(mmol dm-3) 0.334 0.450 0.667 1.00 1.33 1.67 v/(mmol dm-³s-1) 0.152 0.201 0.269 0.417 0.505 0.66 Determine the maximum velocity and the Michaelis constant for the reaction.

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### Enzyme Kinetics Study: α-Chymotrypsin

**Introduction:**
The enzyme α-chymotrypsin is secreted in the pancreas of mammals and cleaves peptide bonds made between certain amino acids. For this experiment, several solutions containing the small peptide N-glutaryl-L-phenylalanine-p-nitroanilide at different concentrations were prepared. The same small amount of α-chymotrypsin was added to each solution, and the initial rates of product formation were recorded.

**Data:**
The table below shows the concentration of the substrate ([S] in mmol dm⁻³) and the initial rate of product formation (v in mmol dm⁻³ s⁻¹).

| [S] (mmol dm⁻³)          |    0.334   |    0.450    |    0.667    |    1.00    |    1.33    |    1.67    |
|--------------------------|------------|-------------|-------------|------------|------------|------------|
| v (mmol dm⁻³ s⁻¹)        |    0.152   |    0.201    |    0.269    |    0.417   |    0.505   |    0.667   |

**Objective:**
Determine the maximum velocity \( V_{max} \) and the Michaelis constant \( K_m \) for the reaction catalyzed by α-chymotrypsin.

**Understanding the Data:**
The goal is to find \( V_{max} \), the maximum rate of the reaction when the enzyme is saturated with the substrate, and \( K_m \), the substrate concentration at which the reaction rate is half of \( V_{max} \). This information is vital in understanding the efficiency and affinity of the enzyme for the substrate.

**Analysis:**
To analyze this data, you can plot [S] against v and fit the data to the Michaelis-Menten equation:

\[ v = \frac{V_{max}[S]}{K_m + [S]} \]

Alternatively, a Lineweaver-Burk plot (double reciprocal plot) can be used, plotting \( \frac{1}{v} \) versus \( \frac{1}{[S]} \), which linearizes the Michaelis-Menten equation:

\[ \frac{1}{v
Transcribed Image Text:### Enzyme Kinetics Study: α-Chymotrypsin **Introduction:** The enzyme α-chymotrypsin is secreted in the pancreas of mammals and cleaves peptide bonds made between certain amino acids. For this experiment, several solutions containing the small peptide N-glutaryl-L-phenylalanine-p-nitroanilide at different concentrations were prepared. The same small amount of α-chymotrypsin was added to each solution, and the initial rates of product formation were recorded. **Data:** The table below shows the concentration of the substrate ([S] in mmol dm⁻³) and the initial rate of product formation (v in mmol dm⁻³ s⁻¹). | [S] (mmol dm⁻³) | 0.334 | 0.450 | 0.667 | 1.00 | 1.33 | 1.67 | |--------------------------|------------|-------------|-------------|------------|------------|------------| | v (mmol dm⁻³ s⁻¹) | 0.152 | 0.201 | 0.269 | 0.417 | 0.505 | 0.667 | **Objective:** Determine the maximum velocity \( V_{max} \) and the Michaelis constant \( K_m \) for the reaction catalyzed by α-chymotrypsin. **Understanding the Data:** The goal is to find \( V_{max} \), the maximum rate of the reaction when the enzyme is saturated with the substrate, and \( K_m \), the substrate concentration at which the reaction rate is half of \( V_{max} \). This information is vital in understanding the efficiency and affinity of the enzyme for the substrate. **Analysis:** To analyze this data, you can plot [S] against v and fit the data to the Michaelis-Menten equation: \[ v = \frac{V_{max}[S]}{K_m + [S]} \] Alternatively, a Lineweaver-Burk plot (double reciprocal plot) can be used, plotting \( \frac{1}{v} \) versus \( \frac{1}{[S]} \), which linearizes the Michaelis-Menten equation: \[ \frac{1}{v
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