Question

A 25.5 liter balloon holding 3.5 moles of carbon dioxide leaks. If we are able to determine that 1.9 moles of carbon dioxide escaped before the container could be sealed, what is the new volume of the container?

Answer 1

Answer: The new volume of the container is 13.8 L

Explanation:

To calculate the new volume of the system, we use the equation given by Avogadro's Law. This law states that volume of the gas is directly proportional to the number of moles of the gas at constant pressure.

Mathematically,

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$

where,

$V_1\text{ and }n_1$ are the initial volume and moles of the gas.

$V_2\text{ and }n_2$ are the final volume and moles of the gas.

We are given:

$V_1=25.5L\\n_1=3.5\\V_2=?\\n_2=1.9$

Putting values in above equation, we get:

$\frac{25.5}{3.5}=\frac{V_2}{1.9}\\\\V_2=13.8L$

Thus the new volume of the container is 13.8 L