At what temperature, the volume of a gas would become zero ?

Options

A. `0^(@)C`
B. `273^(@)C`
C. `-273.15^(@)C`
D. 273 K

Explanation

To determine the temperature at which the volume of a gas would become zero, we can follow these steps:

### Step 1: Understand Charles's Law
Charles's Law states that the volume of a gas is directly proportional to its temperature when pressure is held constant. This can be expressed mathematically as:
\[ V \propto T \]
or
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]

### Step 2: Identify Absolute Zero
According to Charles's Law, as the temperature decreases, the volume of the gas also decreases. Theoretically, if the temperature continues to decrease, there will come a point where the volume of the gas would reach zero. This point is known as absolute zero.

### Step 3: Determine the Value of Absolute Zero
Absolute zero is defined as 0 Kelvin (K). To convert this to degrees Celsius (°C), we use the following relationship:
\[ 0 \, \text{K} = -273.15 \, \text{°C} \]

### Step 4: Conclusion
Therefore, the temperature at which the volume of a gas would become zero is:
\[ -273.15 \, \text{°C} \]

### Final Answer
The volume of a gas would become zero at a temperature of **-273.15 °C**.

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