Question

$2.82g$ of glucose is dissolved in $30g$ of water. The mole fraction of glucose in the solution is:

• A. $0.01$
• B. $0.99$
• C. $0.52$
• D. $1.66$

Answer 1

The correct option is A $0.01$

Solution contains glucose $C_6{H}_{12}{O}_6$ and water

Molar mass of glucose = 180 g

Molar mass of water= 18 g

mole fraction of glucose = moles of glucose/(moles of gluocose+moles of water)

moles of gluocose, n=mass/molar mass=$2.82/180=0.016$

moles of water, n=mass/molar mass$=30/18=1.67$

mole fraction of glucose $=0.016/(0.016+1.67)=0.0095\approx 0.01$

Hence, option $A$ is correct.