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  4. 250 ml of a sodium carbonate solution contains 2.65 grams of Na2CO3. If 10 ml of this solution is diluted to one litre, what is the concentration of the resultant solution (mol. wt. of Na2CO3 = 106)

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Q. $250\, ml$ of a sodium carbonate solution contains $2.65$ grams of $Na_2CO_3$. If $10\, ml$ of this solution is diluted to one litre, what is the concentration of the resultant solution (mol. wt. of $Na_2CO_3 = 106)$

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Solution:

Molarity $ = \frac{W(g) \times 1000}{\text{molecular wt.} \times V(ml.)}$
$ = \frac{2.65 \times 1000}{106 \times 250} = 0.1 \,M$
$10$ ml of this solution is diluted to $1000$ ml $N_1 V_1 = N_2V_2$
$10 \times 0.1 = 1000 \times x$
$x = \frac{0.1 \times 10}{1000} = 0.001\,M$