QuestionApril 15, 2026

6. How much 2% acetic acid solution can be made from 75 mL of a 100% stock solution? 7. How much 30% stock sodium hydroxide solution should be added to 500 mL of water to make a 5% sodium hydroxide solution?

6. How much 2% acetic acid solution can be made from 75 mL of a 100% stock solution? 7. How much 30% stock sodium hydroxide solution should be added to 500 mL of water to make a 5% sodium hydroxide solution?
6. How much 2% acetic acid solution can be made from 75 mL of a 100% stock solution? 7. How much 30% stock sodium hydroxide solution should be added to 500 mL of water to make a 5% sodium hydroxide solution?

Solution
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Answer

1) 1875\ \text{mL} of 2\% acetic acid solution. ### 2) 100\ \text{mL} of 30\% NaOH stock solution. Explanation 1. Calculate final volume for acetic acid solution Use dilution formula: **C_1 V_1 = C_2 V_2**. Here: C_1 = 100\%, V_1 = 75\ \text{mL}, C_2 = 2\%. 100 \times 75 = 2 \times V_2 → V_2 = 3750 / 2 = 1875\ \text{mL}. 2. Calculate volume of NaOH stock needed Again use **C_1 V_1 = C_2 V_2**. Here: C_1 = 30\%, V_1 = ?, C_2 = 5\%, final volume V_2 = 500 + V_1 (since water and stock solution are mixed). 30 V_1 = 5(500 + V_1) → 30 V_1 = 2500 + 5 V_1 → 25 V_1 = 2500 → V_1 = 100\ \text{mL}.

Explanation

1. Calculate final volume for acetic acid solution <br /> Use dilution formula: **$C_1 V_1 = C_2 V_2$**. Here: $C_1 = 100\%$, $V_1 = 75\ \text{mL}$, $C_2 = 2\%$. <br />$100 \times 75 = 2 \times V_2$ → $V_2 = 3750 / 2 = 1875\ \text{mL}$. <br /><br />2. Calculate volume of NaOH stock needed <br /> Again use **$C_1 V_1 = C_2 V_2$**. Here: $C_1 = 30\%$, $V_1 = ?$, $C_2 = 5\%$, final volume $V_2 = 500 + V_1$ (since water and stock solution are mixed). <br />$30 V_1 = 5(500 + V_1)$ → $30 V_1 = 2500 + 5 V_1$ → $25 V_1 = 2500$ → $V_1 = 100\ \text{mL}$.
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