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Concentration Terms

250 mL of x...

Question

$250 m L$ of $x M$ solution and $500 m L$ of $y M$ solution of a solute $A$ are mixed and diluted to $2 l i t r e$ to produce a final concentration of $1.6 M$ .
If $x : y = 5 : 4$ , calculate $x$ and $y$ .

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Solution

We know that,
$M_{1} V_{1} + M_{2} V_{2} = M_{R} (V_{1} + V_{2})$
$x \times 250 + y \times 500 = 1.6 (2000)$
$x + 2 y = 1.6 \times 8$
$x + 2 y = 12.8$
$\frac{x}{y} + 2 = \frac{12.8}{y}$
$\frac{5}{4} + 2 = \frac{12.8}{y}$
$\frac{13}{4} = \frac{12.8}{y}$
$y = \frac{12.8 \times 4}{13} = 3.94$
Similarly, $x = 4.92$ .

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