The vapor pressures of each component in a mixture of propanone (acetone, A) and trichloromethane (chloroform, C) were measured at 35 °C with the following results: 0 0 347 A) 365 torr 0.20 35.3 250 0.40 82.5 175 XC Pc (torr) PA (torr) What is the Henry's law constant for chloroform in this system? 0.60 142 92.3 0.80 200 36.8 1 273 0

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### Henry's Law and Vapor Pressure Measurements

**Problem:**

The vapor pressures of each component in a mixture of propanone (acetone, A) and trichloromethane (chloroform, C) were measured at 35 °C with the following results:

| \( x_C \)  | 0    | 0.20  | 0.40  | 0.60  | 0.80  | 1    |
|------------|------|-------|-------|-------|-------|------|
| \( P_C \) (torr)  | 0    | 35.3  | 82.5  | 142   | 200   | 273  |
| \( P_A \) (torr)  | 347  | 250   | 175   | 92.3  | 36.8  | 0    |

The question asks for the Henry's law constant for chloroform in this system.

**Options:**

A) 365 torr  
B) 347 torr  
C) 177 torr  
D) 273 torr  
E) 485 torr  

**Solution:**

Henry's law states that the vapor pressure of a solute (in this case, chloroform) is directly proportional to its mole fraction in the solution. Mathematically, it can be expressed as:

\[ P_C = k_H \cdot x_C \]

Where:
- \( P_C \) is the vapor pressure of chloroform.
- \( x_C \) is the mole fraction of chloroform.
- \( k_H \) is the Henry's law constant.

To find \( k_H \):

We use any given pair of \( x_C \) and \( P_C \) values. For simplicity, let's use when \( x_C = 1 \):

\[ P_C = k_H \cdot x_C \]
\[ 273 \text{ torr} = k_H \cdot 1 \]
\[ k_H = 273 \text{ torr} \]

Therefore, the Henry's law constant for chloroform in this system is 273 torr.

**Answer:**

D) 273 torr
Transcribed Image Text:### Henry's Law and Vapor Pressure Measurements **Problem:** The vapor pressures of each component in a mixture of propanone (acetone, A) and trichloromethane (chloroform, C) were measured at 35 °C with the following results: | \( x_C \) | 0 | 0.20 | 0.40 | 0.60 | 0.80 | 1 | |------------|------|-------|-------|-------|-------|------| | \( P_C \) (torr) | 0 | 35.3 | 82.5 | 142 | 200 | 273 | | \( P_A \) (torr) | 347 | 250 | 175 | 92.3 | 36.8 | 0 | The question asks for the Henry's law constant for chloroform in this system. **Options:** A) 365 torr B) 347 torr C) 177 torr D) 273 torr E) 485 torr **Solution:** Henry's law states that the vapor pressure of a solute (in this case, chloroform) is directly proportional to its mole fraction in the solution. Mathematically, it can be expressed as: \[ P_C = k_H \cdot x_C \] Where: - \( P_C \) is the vapor pressure of chloroform. - \( x_C \) is the mole fraction of chloroform. - \( k_H \) is the Henry's law constant. To find \( k_H \): We use any given pair of \( x_C \) and \( P_C \) values. For simplicity, let's use when \( x_C = 1 \): \[ P_C = k_H \cdot x_C \] \[ 273 \text{ torr} = k_H \cdot 1 \] \[ k_H = 273 \text{ torr} \] Therefore, the Henry's law constant for chloroform in this system is 273 torr. **Answer:** D) 273 torr
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