Question

in that spirit, what is the volume of a balloon at standard temperature and pressure (stp) if the balloon contains 1.2 mol of n₂ gas and 0.5 mol of co₂ gas?

Answer 1

To calculate the volume of a balloon at STP containing 1.2 mol of N₂ and 0.5 mol of CO₂, you add the volume each gas occupies (1.2 mol x 22.4 L/mol for N₂ and 0.5 mol x 22.4 L/mol for CO₂) to get a total volume of 38.08 L.

Step-by-step explanation:

The volume of a balloon at standard temperature and pressure (STP) containing 1.2 mol of N₂ gas and 0.5 mol of CO₂ gas can be calculated using Avogadro's hypothesis, which states that one mole of any gas at STP occupies a volume of 22.4 L. To find the volume of the mixed gases, you would simply add the volumes contributed by each gas.

First, calculate the volume occupied by the nitrogen gas:

• 1.2 mol of N₂ x 22.4 L/mol = 26.88 L

Then, calculate the volume occupied by the carbon dioxide gas:

• 0.5 mol of CO₂ x 22.4 L/mol = 11.2 L

Thus, the total volume of the balloon is the sum of these two volumes:

• Total volume = 26.88 L + 11.2 L = 38.08 L