A balloon is filled with 3.5 L of water at 24 C. The balloon is placed outside on a hot day, 32 C, causing the volume to increase to ____ L. (only type your numerical answer and include 2 decimal places.
Water is a liquid at 24°C
The thermal volume coefficient (β) of water is 0.000207°C-1 from 20°C to 30 °C and 0.000303°C-1 from 30°C to 40°C.
V = Vo + VoβΔT
ΔT = (30 - 24)°C = 6°C
V = (3.5 L) + (3.5 L × 0.000207°C-1 × 6°C) = 3.504 L
ΔT = (32 - 30)°C = 2°C
V = (3.504 L) + (3.504 L × 0.000303°C-1 × 2°C) = 3.506 L = 3.51 L
V = 3.51 L