Question

Charles law formula, relationship, if the volume of gas what happen to temperature

Answer 1

Charles's Law states that the volume of a gas is directly proportional to its temperature (in Kelvin) when the pressure is held constant. The formula for Charles's Law is expressed as:

\[
\frac{V_1}{T_1} = \frac{V_2}{T_2}
\]

Where:
- \(V_1\) = initial volume of the gas
- \(T_1\) = initial temperature of the gas (in Kelvin)
- \(V_2\) = final volume of the gas
- \(T_2\) = final temperature of the gas (in Kelvin)

### Relationship:
From Charles's Law, you can infer the following relationship:
- If the volume of a gas increases, then its temperature must also increase (assuming pressure is constant).
- Conversely, if the volume of the gas decreases, the temperature must decrease as well.

### Example:
If you have a gas at an initial volume of 2 liters at a temperature of 300 K, and you want to find the new temperature when the volume increases to 4 liters, you would set up the equation as follows:

\[
\frac{2 \text{ L}}{300 \text{ K}} = \frac{4 \text{ L}}{T_2}
\]

From this, you can solve for \(T_2\) to find the new temperature.

Remember to always use temperatures in Kelvin when applying Charles's Law!