Calculating Mass Fraction of Inerts in Gas Mixture

In summary, to find the mass fraction of CO, CO2, H2, CH4, and inerts in a gas mixture of 3000 metric tonnes, we use the equation wi=XiMi / ΣXiMi where X is the mole fraction, w is the mass fraction, and M is the molar mass. We do not know the molar mass of the inerts, so we need another equation to solve for it or cancel it out. Additionally, the sum of the weight fractions must equal 1.
  • #1
juice34

Homework Statement


What is the mass fraction of CO, CO2, H2, CH4, and Inerts in 3000metric tonnes of gas mixture, with mole percentages of:
-3.52mol% CO2
-27.86mol% CO
-67.99mol% H2
-0.21mol% CH4
-0.44mol% inerts

Homework Equations


basic conversions, although we don't know the molar mass of the inerts.
 
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  • #2
Hello!

You have to convert these from mole fraction to mass fraction, right?

The conversion is wi=XiMi / ΣXiMi

X = mole frac., w = mass frac., M = molar mass.

Leave M for the inerts unknown. You need another equation to solve for the inert's molar mass or cancel it out.

Hint: the sum of the weight fractions must equal 1.
 

Related to Calculating Mass Fraction of Inerts in Gas Mixture

What is the definition of "mass of inerts in a mixture"?

The mass of inerts in a mixture refers to the total weight or amount of non-reactive substances present in a mixture. These substances do not participate in chemical reactions and are often referred to as "fillers" or "diluents."

Why is it important to know the mass of inerts in a mixture?

Knowing the mass of inerts in a mixture is important for accurately calculating the concentration of reactive substances in a sample. It also helps in determining the appropriate amount of active ingredients needed for a desired result and can impact the overall effectiveness and safety of a mixture.

How is the mass of inerts in a mixture determined?

The mass of inerts in a mixture is determined by subtracting the total mass of the reactive substances from the total mass of the mixture. This can be done through various methods such as gravimetric analysis, titration, or spectroscopy.

What factors can affect the mass of inerts in a mixture?

The mass of inerts in a mixture can be affected by various factors such as the purity of the reactive substances, the accuracy of the measurement techniques used, and the presence of impurities or contaminants in the mixture.

Are there any limitations to determining the mass of inerts in a mixture?

Yes, there can be limitations to determining the mass of inerts in a mixture. For example, some inerts may not be easily distinguishable from the reactive substances, leading to inaccuracies in the calculation. Additionally, the presence of trace amounts of inerts or variations in the composition of the mixture can also affect the accuracy of the measurement.

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