Avogadro's Law: Understanding Gas Volume Changes

How does Avogadro's Law explain the relationship between gas volume and number of moles?

Based on the data provided, how can we calculate the initial volume of the balloon?

Answer:

The initial volume of the balloon containing 2.66 mol of freon gas was approximately 8.6 L. This is calculated based on the principles of Avogadro's Law where volume is directly proportional to the number of moles of gas.

Avogadro's Law states that, under the same conditions of temperature and pressure, equal volumes of gases contain the same number of molecules. This means that the number of moles of a gas is directly proportional to its volume.

To calculate the initial volume of the balloon, we can use the relationship between the number of moles of gas and the volume. By observing that the volume increased to 20.0 L when the number of moles increased to 6.16 mol, we can determine that the initial volume when the balloon contained 2.66 mol of gas was approximately 8.6 L.

This indicates that the balloon had an initial volume of around 8.6 L before the additional 3.50 mol of freon gas was added.