Calculating Mass Fraction of Inerts in Gas Mixture

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SUMMARY

The discussion focuses on calculating the mass fraction of various components in a gas mixture totaling 3000 metric tonnes, specifically CO, CO2, H2, CH4, and inerts. The mole percentages provided are 3.52% CO2, 27.86% CO, 67.99% H2, 0.21% CH4, and 0.44% inerts. The key equation for conversion from mole fraction to mass fraction is given as wi=XiMi / ΣXiMi, where Xi represents mole fraction, wi represents mass fraction, and Mi denotes molar mass. The challenge lies in the unknown molar mass of the inerts, necessitating the use of additional equations to solve the problem.

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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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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.
 

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