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Q. The mole fraction of nitrogen, in a mixture containing 70 grams nitrogen, 120 grams of oxygen and 44 grams of carbon dioxide is

Solutions

Solution:

Weight of nitrogen $=70\, g$;

Weight of oxygen $=120\, g$

and weight of carbon dioxide $=44 \,g$.

Moles of $N _{2}\left(n_{1}\right)=\frac{\text { Weight }}{\text { Molecular weight }}$

$=\frac{70}{28}=2.5$

Similarly, moles of $O _{2}\left(n_{2}\right)=\frac{120}{32}=3.75$

and moles of $CO _{2}\left(n_{3}\right)=\frac{44}{44}=1$

Therefore mole fraction of nitrogen $\left( N _{2}\right)$

$=\frac{n_{1}}{n_{1}+n_{2}+n_{3}}$

$=\frac{2.5}{2.5+3.75+1}$

$=\frac{2.5}{7.25}=0.34$