Answer:
Step-by-step explanation:
To determine the new volume of the balloon after an additional 0.50 mol of CO₂ is added, we can use the ideal gas law. This law states that the product of the pressure, volume, and temperature of a gas is equal to the number of moles of the gas multiplied by the ideal gas constant:
PV = nRT
Where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
Since the pressure and temperature of the balloon remain constant, we can rearrange the equation to solve for the new volume:
V = nRT/P
Plugging in the values, we get:
V = (0.50 mol)(0.08206 Latm/molK)(298 K)/(1.00 atm)
This gives us a new volume of V = 12.6 L.
I hope this helps! Let me know if you have any questions.