Molecules are fun. Some of which, like n$-$octane and $2,2,4-$trimethylpentane, are isomers of each other. Isomers contain the same number of constituent atoms, therefore having the same molecular weight, but with different molecular arrangements. Other compounds, such as benzene, have a cyclic structure. Suppose you have a mixture containing n$-$octane $(5lb,2,2,4-$trimethylpentane $(8lb,$ and benzene $(6lb).$

a$.$ What is the volume $($in Liters$)$ of each component in the mixture?

b$.$ What is the mole fraction of this mixture?