Answer:
480.0 mL
Explanation:
Step 1: Given data
- Initial volume (V₁): 500.0 mL
- Initial temperature (T₁): 27.0 °C
- Final temperature (T₂): 15.0 °C
Step 2: Convert the temperatures to the Kelvin scale
We will use the following expression.
K = °C + 273.15
K = 27.0°C + 273.15 = 300.2 K
K = 15.0°C + 273.15 = 288.2 K
Step 3: Calculate the final volume
Assuming ideal behavior and constant pressure, we can calculate the final volume using Charles' law.
V₁ × T₂ = V₂ × T₁
V₂ = V₁ × T₂ / T₁
V₂ = 500.0 mL × 288.2 K / 300.2 K = 480.0 mL
