The formula to calculate the final volume (V₂) using Charles's Law is:
\[ V₂ = \left( \frac{V₁}{T₁} \right) \cdot T₂ \]
Where:
Charles's Law is a fundamental principle in the field of thermodynamics that describes the relationship between the volume and temperature of a gas. According to Charles's Law, if the pressure remains constant, the volume of a gas will increase as its temperature increases, and vice versa. This means that when a gas is heated, its molecules gain energy and move more vigorously, causing them to collide with each other and the container walls more frequently, thus increasing the volume of the gas. Conversely, when a gas is cooled, its molecules lose energy and move less vigorously, resulting in fewer collisions and a decrease in volume.
Let's assume the following values:
Step 1: Calculate the final volume (V₂):
\[ V₂ = \left( \frac{2}{300} \right) \cdot 450 = \left( \frac{2}{300} \right) \cdot 450 = \frac{2}{300} \cdot 450 = 3 \text{ liters} \]
Therefore, the final volume (V₂) is 3 liters.