Answer:
A. 488.31 mL.
B. 67.22 mL.
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial volume (V₁) = 250 mL
Initial pressure (P₁) = 752 mm Hg
A. Determination of the new volume when the pressure is lowered to 385 mmHg.
Initial volume (V₁) = 250 mL
Initial pressure (P₁) = 752 mm Hg
Final pressure (P₂) = 385 mmHg
Final volume (V₂) =?
P₁V₁ = P₂V₂
752 × 250 = 385 × V₂
188000 = 385 × V₂
Divide both side by 385
V₂ = 188000 / 385
V₂ = 488.31 mL
Thus, the new volume of the gas is 488.31 mL
B. Determination of the new volume of the gas when the pressure is increased to 3.68 atm.
Initial volume (V₁) = 250 mL
Initial pressure (P₁) = 752 mm Hg
Final pressure (P₂) = 3.68 atm.
Final volume (V₂) =?
Next, we shall convert 3.68 atm to mmHg. This can be obtained as follow:
1 atm = 760 mmHg
Therefore,
3.68 atm = 3.68 atm × 760 mmHg / 1 atm
3.68 atm = 2796.8 mmHg
Thus, 3.68 atm is equivalent to 2796.8 mmHg.
Finally, we shall determine the new volume of the gas as follow:
Initial volume (V₁) = 250 mL
Initial pressure (P₁) = 752 mm Hg
Final pressure (P₂) = 2796.8 mmHg.
Final volume (V₂) =?
P₁V₁ = P₂V₂
752 × 250 = 2796.8 × V₂
188000 = 2796.8 × V₂
Divide both side by 2796.8
V₂ = 188000 / 2796.8
V₂ = 67.22 mL
Thus, the new volume of the gas is 67.22 mL