The concentration of a $100 \mathrm{~mL}$ solution containing $X \mathrm{~g}$ of $\mathrm{Na}_2…

The concentration of a $100 \mathrm{~mL}$ solution containing $X \mathrm{~g}$ of $\mathrm{Na}_2 \mathrm{CO}_3$ (molecular wt. $=106$ ) is $Y M$. The values of $X$ and $Y$ are respectively.
  1. $2.12,0.05$
  2. $1.06,0.2$
  3. $1.06,0.1$
  4. $2.12,0.1$

Solution

$W=\frac{M m V}{1000}$ $ \begin{aligned} M & =\frac{W \times 1000}{m \times V} \\ Y & =\frac{X \times 1000}{106 \times 100} \\ \therefore \quad 106 Y & =10 X \end{aligned} $ Among the given options, only the values in option (c) can satisfy the equation (i), hence the correct answer is (c)

Asked in: AP EAMCET 2002

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