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Mixing gases

Data

P 1 atm * :

T 300 K * :

"Exact" value (Viacheslav maple's calculus)

F.1 He :

F.2 Xe :

ρ.o 2.750733505001462 kg m 3^/ * :

x.1 0.5 mol mol / * :

x.2 0.5 mol mol / * :

Method 1: As ideal gases

M.1 M F.1 CoolProp_Props1 : g mol / 4.0026

M.2 M F.2 CoolProp_Props1 : g mol / 131.293

n.1 x.1 mol * :

m.1 n.1 M.1 * : g 2.0013

n.2 x.2 mol * :

m.2 n.2 M.2 * : g 65.6465

From

P V * n R * T * ≡

ρ m V / ≡

m MM n * ≡

ρ.12 m.1 m.2 + n.1 n.2 + / P R.m T * / * : 2.747985 kg m 3^/ *

err ρ.o ρ.12 - ρ.o / abs : % 0.0999

Method 2: Using mixing density formula

Mole to mass fractions

y.1 m.1 m.1 m.2 + / : 0.02958412

y.2 m.2 m.1 m.2 + / : 0.97041588

ρ.1 D T T P P F.1 CoolProp_Props : 0.1625 kg m 3^/ *

ρ.2 D T T P P F.2 CoolProp_Props : 5.3612 kg m 3^/ *

ρ.12 1 y.1 ρ.1 / (y.2 ρ.2 / (+ / : 2.754476 kg m 3^/ *

err ρ.o ρ.12 - ρ.o / abs : % 0.136

Alvaro

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