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Murljashka [212]
2 years ago
14

You are given a stock solution of 500.0 mL of 1.00M magnesium chloride solution. Calculate the volume of the stock solution you

would need to use to prepare 250.0 mL of 0.20 M solution.
Chemistry
1 answer:
alexgriva [62]2 years ago
3 0

Answer:

50\; \rm mL of the stock solution would be required.

Explanation:

Assume that a solution of volume V contains a solute with a concentration of c. The quantity n of that solute in this solution would be:

n = c \cdot V.

For the solution that needs to be prepared, c = 0.20\; \rm M = 0.20\; \rm mol \cdot L^{-1}. The volume of this solution is V = 250.0\; \rm mL. Calculate the quantity of the solute (magnesium chloride) in the required solution:

\begin{aligned}n &= c \cdot V \\ &= 0.20\; \rm mol \cdot L^{-1} \times 250.0\; \rm mL \\ &= 0.20\; \rm mol \cdot L^{-1} \times 0.2500\; \rm L \\ &= 0.050\; \rm mol\end{aligned}.

Rearrange the equation n = c \cdot V to find an expression of volume V, given the concentration c and quantity n of the solute:

\displaystyle V= \frac{n}{c}.

Concentration of the solute in the stock solution: c(\text{stock}) = 1.00\; \rm M = 1.00\; \rm mol \cdot L^{-1}.

Quantity of the solute required: n = 0.050\; \rm mol.

Calculate the volume of the stock solution that would contain the required n = 0.050\; \rm mol of the magnesium chloride solute:

\begin{aligned}& V(\text{stock}) \\ &= \frac{n}{c(\text{stock})} \\ &= \frac{0.050\; \rm mol}{1.00\; \rm mol \cdot L^{-1}} \\ &= 0.050\; \rm L \\ &= 50\; \rm mL\end{aligned}.

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