The analysis on a mass basis of an ideal gas mixture at

Chapter 12, Problem 12.1

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QUESTION:

The analysis on a mass basis of an ideal gas mixture at \(50^{\circ} \mathrm{F}\), \(25 \mathrm{lbf} / \mathrm{in}^{2}\) is 60% \(\mathrm{CO}_{2}\), 25% \(\mathrm{SO}_{2}), and 15% \(\mathrm{N}_{2}\). Determine

(a) the analysis in terms of mole fractions.

(b) the apparent molecular weight of the mixture.

(c) the partial pressure of each component, in \(\mathrm{lbf} / \mathrm{in}^{2}\)

(d) the volume occupied by 20 lb of the mixture, in \(\mathrm{ft}^{3}\).

Questions & Answers

QUESTION:

The analysis on a mass basis of an ideal gas mixture at \(50^{\circ} \mathrm{F}\), \(25 \mathrm{lbf} / \mathrm{in}^{2}\) is 60% \(\mathrm{CO}_{2}\), 25% \(\mathrm{SO}_{2}), and 15% \(\mathrm{N}_{2}\). Determine

(a) the analysis in terms of mole fractions.

(b) the apparent molecular weight of the mixture.

(c) the partial pressure of each component, in \(\mathrm{lbf} / \mathrm{in}^{2}\)

(d) the volume occupied by 20 lb of the mixture, in \(\mathrm{ft}^{3}\).

ANSWER:

Step 1 of 4

a) To calculate the mole fractions of the given gas mixture we will use the given mass analysis   and . For the calculation we will assume the mass of the mixture is   and we will also need the molar masses for each gas which we will take from the molar mass tables.

The mixture number of moles  is then:

The mole fractions  are then:

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