Which of the following curves represent the Henry's law

Options

A.
B.
C.
D.

Explanation

To determine which of the given curves represents Henry's Law, we can follow these steps:

### Step 1: Understand Henry's Law
Henry's Law states that the partial pressure of a gas (P) is directly proportional to the mole fraction of that gas (X) in a solution. This relationship can be expressed mathematically as:
\[ P = k_H \cdot X \]
where \( k_H \) is the Henry's Law constant.

### Step 2: Identify the Variables
In the context of the graph provided:
- The x-axis represents the mole fraction of the gas in the solution (X).
- The y-axis represents the partial pressure of the gas (P).

### Step 3: Analyze the Relationship
Since P is directly proportional to X, we can rewrite the equation as:
\[ P = k_H \cdot X \]
This indicates that as the mole fraction (X) increases, the partial pressure (P) also increases linearly.

### Step 4: Determine the Graph Characteristics
A linear relationship between P and X means that the graph will be a straight line. The equation of a straight line can be expressed as:
\[ y = mx + c \]
In this case:
- \( y \) corresponds to \( P \)
- \( x \) corresponds to \( X \)
- \( m \) is the slope, which is positive since \( k_H \) is a positive constant.
- \( c \) is the y-intercept, which is zero in this case because when \( X = 0 \), \( P \) must also be 0 (the line passes through the origin).

### Step 5: Conclusion
The correct curve representing Henry's Law will be a straight line that passes through the origin (0,0) on the graph of partial pressure (P) versus mole fraction (X).