Answer:
1560 mmHg is the final pressure
Explanation:
To solve this problem we need to apply the Ideal Gases Law Equation:
P . V = n . R . T
First of all, we need to convert the volume to L, T° to Absolute T° (T°C + 273) and pressure from mmHg to atm
570 mmHg . 1atm/760 mmHg = 0.75 atm
25°C + 273 = 298K
175°C + 273 = 448K
2270 mL . 1L/1000mL = 2.27L
1250 mL . 1L/1000mL = 1.25L
P.V = n . R. T is the main equation but in both cases n and R are constant. We can ignore them, so we make this formula for each situation:
P . V / T = n . R → P₁ . V₁ / T₁ = P₂ . V₂ / T₂
We replace data: 0.75 atm . 2.27L / 298K = P₂ . 1.25L / 448K
(0.75 atm . 2.27L / 298K). 448K = P₂ . 1.25L
2.56 atm.L = P₂ . 1.25L → P₂ = 2.56atm.L / 1.25L = 2.05 atm
We finally convert the atm to mmHg to reach the answer
2.05 atm . 760 mmHg / 1atm = 1556 mmHg ≅ 1560 mmHg
