Answer:
1.79 L
Explanation:
Step 1: Given data
- Initial volume of the gas (V₁): 2.00 L
- Initial temperature of the gas (T₁): 25.0 °C
- Initial pressure of the gas (P₁): 745.0 mmHg
- Final volume of the gas (V₂): ?
- Final temperature of the gas (T₂): 273 K
- Final pressure of the gas (P₂): 760.0 mmHg
Step 2: Convert T₁ to Kelvin
We will use the following expression.
K = °C + 273.15
K = 25.0 °C + 273.15 = 298.2 K
Step 3: Calculate the final volume of the gas
We will use the combined gas law.
P₁ × V₁ / T₁ = P₂ × V₂ / T₂
V₂ = P₁ × V₁ × T₂ / T₁ × P₂
V₂ = 745.0 mmHg × 2.00 L × 273 K / 298.2 K × 760.0 mmHg = 1.79 L
