The correct representation of Charle's law is given in

Options

A.
B.
C.
D.

Answer

To solve the question regarding the correct representation of Charles's Law, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Charles's Law**:
- Charles's Law states that at constant pressure, the volume (V) of a gas is directly proportional to its absolute temperature (T). This can be expressed mathematically as:
\[ V \propto T \quad (\text{at constant pressure and moles}) \]

2. **Removing Proportionality**:
- To remove the proportionality, we introduce a constant \( K \):
\[ V = KT \]
- Here, \( K \) is a constant that depends on the amount of gas and the pressure.

3. **Graphical Representation**:
- The relationship \( V = KT \) can be compared to the equation of a straight line \( y = mx \), where:
- \( y \) represents volume (V)
- \( x \) represents temperature (T)
- \( m \) is the slope of the line, which is equal to \( K \).
- This indicates that when we plot volume against temperature, we will get a straight line that passes through the origin (0,0).

4. **Analyzing Options**:
- **Option 1**: Suggests volume is constant with respect to temperature. This is incorrect as volume changes with temperature.
- **Option 2**: Indicates the presence of an intercept. This is incorrect since the graph passes through the origin.
- **Option 3**: States that the graph is a straight line starting from the origin. This is correct.
- **Option 4**: Claims a negative slope. This is incorrect as the slope is positive.

5. **Conclusion**:
- Based on the analysis, the correct representation of Charles's Law is given in **Option 3**.