Which of the following curve does not represent Gay-Iusacc's law?

Options

A.
B.
C.
D.

Explanation

To solve the question "Which of the following curve does not represent Gay-Lussac's law?", we will follow these steps:

### Step 1: Understand Gay-Lussac's Law
Gay-Lussac's law states that the pressure of a gas is directly proportional to its absolute temperature when the volume is held constant. This can be mathematically expressed as:
\[ P \propto T \]
or
\[ P = kT \]
where \( k \) is a constant.

### Step 2: Identify the Variables
In the context of Gay-Lussac's law:
- Pressure (P) is on the y-axis.
- Temperature (T) is on the x-axis.
- The relationship is linear, meaning if we plot P against T, we should get a straight line that passes through the origin (0,0) if T is in Kelvin.

### Step 3: Analyze the Options
We need to analyze the provided curves (options A, B, C, etc.) to see which one does not represent the linear relationship described by Gay-Lussac's law.

1. **Option A**: If this curve represents temperature in Celsius instead of Kelvin, it will not pass through the origin because the relationship would be shifted. The equation would become:
\[ P = k(T + 273) \]
This means the line would have a y-intercept, indicating that it does not represent Gay-Lussac's law correctly.

2. **Option B**: If this curve shows a linear relationship with a positive slope and passes through the origin, it correctly represents Gay-Lussac's law.

3. **Option C**: Similar to option B, if this curve is linear and passes through the origin, it also represents Gay-Lussac's law correctly.

### Step 4: Conclusion
Based on the analysis, the curve that does not represent Gay-Lussac's law is **Option A**, as it does not pass through the origin when temperature is in Celsius.

### Final Answer
The curve that does not represent Gay-Lussac's law is **Option A**.

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