Answer:
0.03 L
Step-by-step explanation:
Step 1: Given data
- Initial volume of the balloon (V₁): 0.5 L
- Initial temperature of the balloon (T₁): 293 K
- Final volume of the balloon (V₂): ?
- Final temperature of the balloon (T₂): 20 K
Step 2: Calculate the final volume of the balloon
The balloon is filled with air. If we assume it behaves as an ideal gas, we can calculate the final volume of the balloon using Charles' law.
V₁/T₁ = V₂/T₂
V₂ = V₁ × T₂/T₁
V₂ = 0.5 L × 20 K/293 K = 0.03 L