Final answer:
The volume of the balloon is 51.84 L.
Step-by-step explanation:
To find the volume of the balloon, we can use the ideal gas law equation: PV = nRT.
We are given n = 3.2 moles, T = 65°C (converted to Kelvin by adding 273), and P = 2.0 atm.
Substituting these values into the equation, we get (2.0 atm) * V = (3.2 moles) * (0.0821 L*atm/mol*K) * (65°C + 273).
Simplifying the equation, we find V = 51.84 L.