The pressure of the mixture can be found out adding the Partial Pressure of the gas.
Partial pressure of gas is the pressure if it alone occupied the entire volume of original mixture.
Moles = given mass / molar mass
Given,
Mass of Nitrogen = 32g
Molar Mass of Nitrogen = 28g
Mass of Neon = 16g
Molar Mass of Neon = 20g
Volume of gas = 4L
Temperature of vessel = 0°C = 273K
Partial Pressure of nitrogen = P₁
Partial Pressure of neon = P₂
Moles of nitrogen, n₁= 32/28 = 1.14
Moles of neon, n₂= 16/20 = 0.8
Using Ideal gas equation for Nitrogen,
∴ P₁V = n₁RT
⇒ P₁ (1) = 1.14 × 0.082 × 273
⇒ P₁ = 25.52atm
Using Ideal gas equation for Neon,
∴ P₂V = n₂RT
⇒ P₂ (1) = 0.8 × 0.082 × 273
⇒ P₂ = 17.9 atm
Total pressure of the mixture can be found out by adding the partial pressures of both the gases.
Total pressure P = P₁ + P₂
P = 25.52 + 17.9 atm
P = 43.42 atm
Hence, total pressure of the mixture is 43.42atm
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