A plot of the density versus the pressure for air at 27°C has the limiting slope = 1.2 × 10 -5 kg m -3 Pa -1 . The composition of air (contains only N 2 and O 2 ) in volume ratio of N 2 and O 2 is (R

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A plot of the density versus the pressure for air at 27°C has the limiting slope = 1.2 × 10 -5 kg m -3 Pa -1 . The composition of air (contains only N 2 and O 2 ) in volume ratio of N 2 and O 2 is (R = 8.0 J/K-mol)

TestHub · Accepted Answer

d = PM/RT ⇒ slope = M/RT, so M = 1.2×10 -5 × 8.0 × 300 = 0.0288 kg/mol = 28.8 g/mol. With x = mole (volume) fraction of N 2 : 28x + 32(1-x) = 28.8 ⇒ x = 0.8, i.e. N 2 :O 2 = 80:20. Matches (a).

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