Q14 / 59 · KVPY 2013 (SA) · Chemistry

The weight percent of sucrose (formula weight $\left.=342 \mathrm{~g} \mathrm{~mol}^{-1}\right)$ in an aqueous solution is $3.42$. The density of the solution is $1 \mathrm{~g} \mathrm{~mL}^{-1}$, the concentration of sucrose in the solution in $\mathrm{mol} \mathrm{~L}^{-1}$ is

A
$0.01$
Correct answer
B
$0.1$
C
$1.0$
D
$10$

Solution

$3.42 \mathrm{~gm}$ sacrose in $100 \mathrm{~gm}$ solution $\mathrm{d}=1 \mathrm{~gm} \mathrm{~ml}^{-1}$ $\because \mathrm{d}=\frac{\text { mass }}{\text { volume }}$ volume of solution $=\frac{100}{1}=100 \mathrm{~ml}$ Molarity $=\frac{\mathrm{n}}{\mathrm{v}} \times 1000$ Molarity $=\frac{3.42}{342 \times 100} \times 1000=0.1$

Hence, the correct answer is option: 'B'.

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