The analysis on a mass basis of an ideal gas mixture at 30°f, 15 lbf/in.2 is 25% co2, 10% co, and 65% o2. 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 lbf/in.2 (d) the volume occupied by 10 lb of the mixture, in ft3.

a)

b) The apparent molecular weight is

c)

d)

Explanation:

a)

Let's take a calculation basis of 100g. This can be seen just as analyze a sample of the gas of 100g. A sample of 100g will have the composition: 25g CO2, 10g CO and 65 g O2 because the given analysis on mass basis. We are going to pass that mass to its respective moles amount:

The total amount of moles in the 100 grams is: moles.

So, the molar fraction can be obtained dividing the moles amount of each compound by the total moles amount:

b) The apparent molecular weight can be obtained with the data we have for 100 g sample, because now we know that 2.9563 gas moles are in 100 g, so:

c) For an ideal gas the partial pressure of the 'i' compound is defined as:

where is the molar fraction and P is the total pressure, so:

d)For this volume calculation, we are going to use the ideal gas law:

where we know the pressure, the temperature and can calculate the number of moles.

Calculate the number of moles:

Calculate the temperature in Rankine:

The value for R is:

So, from the ideal gas law,