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Chemistry
The mole fraction of nitrogen, in a mixture containing 70 grams nitrogen, 120 grams of oxygen and 44 grams of carbon dioxide is
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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
A
0.36
27%
B
0.34
42%
C
0.29
24%
D
5.0
7%
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 $\left( N _{2}\right)$
$=\frac{n_{1}}{n_{1}+n_{2}+n_{3}}$
$=\frac{2.5}{2.5+3.75+1}$
$=\frac{2.5}{7.25}=0.34$