Question

a balloon containing 3.0 mol of a gas has a volume of 5.0 l. if the volume of the balloon is increased to 7.0 l at a constant pressure and temperature, how many moles of gas does the balloon contain?

Answer 1

The balloon contains 4.67 moles of gas when the volume is increased to 7.0 L.

Step-by-step explanation:

To find the number of moles of gas in the balloon when it is expanded to 7.0 L, we can use the relationship between volume and moles of gas, known as Avogadro's law. Avogadro's law states that at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas.

So, we can set up the following proportion:

(Initial volume) / (Initial moles) = (Final volume) / (Final moles)

Substituting the given values:

(5.0 L) / (3.0 mol) = (7.0 L) / (x)

Cross-multiplying and solving for x, we find that the balloon contains 4.67 moles of gas when the volume is increased to 7.0 L.