Answer:
103 mmHg
Step-by-step explanation:
To find the new pressure, you need to use the Combined Gas Law:
P₁V₁ / T₁ = P₂V₂ / T₂
In this equation, "P₁", "V₁", and "T₁" represent the initial pressure, volume, and temperature. "P₂", "V₂", and "T₂" represent the final pressure, volume, and temperature. You can find the new pressure (P₂) after converting the temperatures from Celsius to Kelvin.
P₁ = 365.7 mmHg P₂ = ? mmHg
V₁ = 75.1 L V₂ = 242.9 L
T₁ = 33.2 °C + 273.15 = 306.35 K T₂ = 6.5 °C + 273.15 = 279.65 K
P₁V₁ / T₁ = P₂V₂ / T₂ <----- Combined Gas Law
(365.7 mmHg)(75.1 L) / 306.35 K = P₂(242.9 L) / 279.65 K <----- Insert values
89.649 = P₂(242.9 L) / 279.65 K <----- Simplify left side
25070.433 = P₂(242.9 L) <----- Multiply both sides by 279.65
103 = P₂ <----- Divide both sides by 242.9