# An Optimistic Look at Avogadro's Law

## How does Avogadro's Law apply to gas volume?

Can you calculate the final volume of a balloon when additional gas is added at the same temperature and pressure?

## Understanding Avogadro's Law

Avogadro's Law states that equal volumes of gases, at the same temperature and pressure, contain an equal number of moles. This means that when more gas is added, the volume of the balloon will change accordingly.

## Calculating the Final Volume

When an additional 0.193 mol of gas is added to the balloon (at the same temperature and pressure), we can use Avogadro's Law to find the final volume:

Initial moles (n1) = 0.160 mol, Initial Volume (V1) = 2.86 L

Final Moles (n2) = 0.160 mol + 0.193 mol = 0.353 mol

Using the formula n1/V1 = n2/V2 and rearranging for V2, we get V2 = V1 * (n2/n1).

Substituting the known values, V2 = 2.86 L * (0.353 mol/0.160 mol) = 6.31 L

So, the final volume of the balloon when an additional 0.193 mol of gas is added at the same temperature and pressure will be 6.31 liters.

Avogadro's Law helps us understand how gases behave and interact with each other in different conditions. It's a fundamental concept in chemistry that allows us to make accurate predictions about gas volumes and moles.