Answer:
P(total) = 14.81 atm
Explanation:
According to the Dalton law of partial pressure,
The pressure exerted by mixture of gases are equal to the sum of partial pressure of individual gases.
P(total) = P1 + P2 + P3+ .....+ Pn
Given data:
Volume of container = 20.0 L
Temperature = 298 K
Mass of He = 12.0 g
Moles of hydrogen = 4.00 mol
Pressure of Ne = 6.25 atm
Solution:
Moles of helium:
Number of moles = mass/molar mass
Number of moles = 12 g/ 4 g/mol
Number of moles = 3 mol
Pressure of helium:
PV = nRT
P = nRT/ V
P = 3 mol × 0.0821 atm.L. mol⁻¹.k⁻¹ × 298 K / 20 L
P = 73.4 atm / 20
p = 3.67 atm
Pressure of hydrogen:
PV = nRT
P = nRT/ V
P = 4 mol × 0.0821 atm.L. mol⁻¹.k⁻¹ × 298 K / 20 L
P = 97.86 atm / 20
P = 4.89 atm
Total pressure:
P(total) = P(He) + P(Ne) + P(H₂)
P(total) = 3.67 atm + 6.25 atm + 4.89 atm
P(total) = 14.81 atm
