Question

Please help me for 20 points

A balloon that contains 4.80 g of carbon dioxide gas has a volume of 12.0 L. Assume
that the pressure and temperature of the balloon remain constant. What is the new
volume of the balloon if an additional 0.50 mol of CO₂ is added? [ans: 67 L]

Answer 1

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.