5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution would be required to prepare 500 mL of 0.1 M solution? _________. Given: Molar Mass of Na, O and H is 23, 16 and 1 g respectively.

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Solution

Q.
5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution would be required to prepare 500 mL of 0.1 M solution _________. Given: Molar Mass of Na, O and H is 23, 16 and 1 g ${mol}^{- 1}$ respectively. [2023]

Ans.
(180)

${(Molarity)}_{i} = {\frac{5 \times 1000}{40 \times 450}}$

$By dilution law M_{i} V_{i} = M_{f} V_{f}$

$\Rightarrow {\frac{5 \times 1000}{40 \times 450}} \times V = 0.1 \times 500$

$V = \frac{50 \times 40 \times 450}{5 \times 1000} = 5 \times 4 \times 9 = 180 mL$

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