Answer :
Final answer:
Partial pressures are 56 kPa, 112 kPa, 280 kPa, respectively, for gases A, B, and C, hence the correct option is a. 56 kPa, 112 kPa, 280 kPa.
Explanation:
To find the partial pressures of each gas, we can use Dalton's law of partial pressures, which states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the individual gases.
Given:
Gas A: 1 mol
Gas B: 2 mol
Gas C: 5 mol
Total pressure: 448 kPa
First, we need to find the mole fraction of each gas:
For gas A: [tex]\frac{1\, mol}{1\,mol+2\,mol+5\,mol} =\frac{1}{8}[/tex]
For gas B: [tex]\frac{2\, mol}{1\,mol+2\,mol+5\,mol} =\frac{2}{8}[/tex]
For gas C: [tex]\frac{5\, mol}{1\,mol+2\,mol+5\,mol} =\frac{5}{8}[/tex]
Now, we can find the partial pressure of each gas:
Partial pressure of gas A: [tex]\frac{1}{8} \times 448kPa=56kPa[/tex]
Partial pressure of gas B: [tex]\frac{1}{4} \times 448kPa=112kPa[/tex]
Partial pressure of gas C: [tex]\frac{5}{8} \times 448kPa=280kPa[/tex]
Therefore, the correct answer is a. 56 kPa, 112 kPa, 280 kPa.
