A gaseous mixture of carbon monoxide, carbon dioxide, methane and nitrogen gas is analyzed with a gas chromatograph (GC). The output takes the form of a series of peaks where each peak corresponds to a component and a peak area (A) is proportional to the moles (n) of the component ( n = kA) in the sample injected in the GC. Area of carbon monoxide is 22, the area of methane is 42, the area of carbon dioxide is 28. The molar ratio of nitrogen to methane is known to be 0.26. Find the mole fraction and mass fraction of each component, and the average molecular weight of the mixture,