Question

A large balloon fashioned to look like a mole is designed for the Macy’s Thanksgiving Day Parade. If the volume of the balloon is 835 L after the addition of 588 moles of helium, how many more moles of helium must be added to fill the balloon to its final volume of 2953 L?

Answer 1

To fill the balloon to its final volume of 2953 L, an additional 1488 moles of helium must be added.

Step-by-step explanation:

To find the number of moles of helium that must be added to fill the balloon to its final volume of 2953 L, we can use Avogadro's law. Avogadro's law states that at the same temperature and pressure, equal volumes of gases contain an equal number of moles.

First, we need to find the initial number of moles of helium in the balloon. We can calculate this by dividing the initial volume by the volume occupied by each mole of helium. The initial volume is 835 L, and we are given that 588 moles of helium were added. Therefore, the volume occupied by each mole of helium is 835 L ÷ 588 moles = 1.42 L/mole.

The final volume of the balloon is 2953 L. To find the number of moles of helium needed to fill the balloon to this volume, we can divide the final volume by the volume occupied by each mole of helium, which is 1.42 L/mole. The number of moles can be calculated as 2953 L ÷ 1.42 L/mole = 2076 moles.

Therefore, to fill the balloon to its final volume of 2953 L, an additional 1488 moles of helium must be added.