Question
What is the mole fraction of glucose in $$10\% \,\,w/W$$ glucose solution ?
A.
0.01
B.
0.02
C.
0.03
D.
0.04
Answer :
0.01
Solution :
No. of moles of glucose $$ = \frac{{10}}{{180}} = 0.0555\,mol$$
No. of moles of water $$ = \frac{{90}}{{18}} = 5\,mol$$
Number of moles of solution $$ = 5.0555\,mol$$
Mole fraction of glucose
$$\eqalign{
& \, = \frac{{{\text{No}}{\text{.}}\,\,{\text{of}}\,\,{\text{moles}}\,\,{\text{of}}\,\,{\text{glucose}}}}{{{\text{No}}{\text{.}}\,\,{\text{of}}\,\,{\text{moles}}\,\,{\text{of}}\,\,{\text{solution}}}} \cr
& = \frac{{0.0555}}{{5.0555}} \cr
& = 0.01 \cr} $$