Answer:
The pressure when the stopcock is opened is opened is 87.783 cm
Explanation:
The given parameters of the question are;
The volume of the vessel of chlorine = 400 cc
The pressure of the vessel of chlorine = 80 cm
The volume of the vessel of chlorine = 250 cc
The pressure of the vessel of chlorine = 100 cm
Daltons law of Partial Pressures states that the total pressure exerted by a volume of a mixture of gases is equal to the partial pressures exerted by the individual gases in the mixture with respect to the given volume
Therefore;
The total volume of the mixture = 400 cc + 250 cc = 650 cc
The partial pressure exerted by the chlorine gas in the total volume is given by Boyles law as follows;
P₁·V₁ = P₂·V₂
P₂ = P₁·V₁/V₂
Where;
P₁ = 80 cm = The pressure in volume V₁ = 400 cc
P₂ₓ = The partial pressure of chlorine in volume V₂ = 650 cc
Substituting, we have;
P₂ₓ = 80 × 400/650 ≈ 49.321 cm
Similarly, the partial pressure exerted by the nitrogen gas in the total volume is given by Boyles Law as follows;
P₂ₐ = P₁·V₁/V₂
Where;
P₁ = 100 cm = The pressure in volume V₁ = 250 cc
P₂ₐ = The partial pressure of nitrogen in volume V₂ = 650 cc
Substituting, we have;
P₂ₐ = 100× 250/650 ≈ 38.462 cm
The pressure of the combined gas, P, when the stopcock is opened is opened is given by Dalstons Law of partial pressure as P = P₂ₐ + P₂ₓ
Therefore, the pressure, P when the stopcock is opened is opened = 49.321 cm + 38.462 cm = 87.783 cm
