Answer:
Explanation:
Given parameters:
number of moles of CH₄ = 6.816 moles
number of moles of C₂H₆ = 0.589 mole
number of moles of C₃H₈ = 0.381 moles
Total pressure of the gases = 3.93 atm
Unknown:
Partial pressure of the gases = ?
Solution:
Dalton's law of partial pressure states that " the total pressure of a mixture of gases is equal to the sum of the partial pressures of the constituent gases".
P[tex]_{T}[/tex] = P[tex]_{1}[/tex] + P[tex]_{2}[/tex] + P[tex]_{3}[/tex]...............
where P[tex]_{T}[/tex] = total pressure of the gas mixture
P₁, P₂, P₃...... = partial pressure of gas 1, 2, 3............
The partial pressure of a gas is the pressure it would exert if confined alone in the volume of the gas mixture.
Partial pressure of gas = mole fraction of gas x total pressure of mixture
Now let us solve the problem.
Total number of moles of gases = 6.816 moles + 0.589 mole + 0.381 moles
= 7.786moles
Partial pressure of CH₄ = [tex]\frac{6.816}{7.786} x 3.93 = 3.44 atm[/tex]
Partial pressure of C₂H₆ = [tex]\frac{0.589}{7.786}[/tex] x 3.93 = 0.30atm
Partial pressure of C₃H₈ = [tex]\frac{0.381}{7.786}[/tex] x 3.93 = 0.19atm
