QuestionJune 27, 2025

A pharmacist needs to make a 25.0 liter of a 350 M solution of a substance. The stock solution of the substance is 10.5 M. How much stock and water must be mixed? 1.47 liters of stock and 16.67 liters of water 8.33 liters of stock and 16.67 liters of water 1.47 liters of stock and 25.0 liters of water 8.33 liters of stock and 25.0 liters of water

A pharmacist needs to make a 25.0 liter of a 350 M solution of a substance. The stock solution of the substance is 10.5 M. How much stock and water must be mixed? 1.47 liters of stock and 16.67 liters of water 8.33 liters of stock and 16.67 liters of water 1.47 liters of stock and 25.0 liters of water 8.33 liters of stock and 25.0 liters of water
A pharmacist needs to make a 25.0 liter of a 350 M solution of a substance. The stock solution of the substance is 10.5 M. How much stock and water must be mixed?
1.47 liters of stock and 16.67 liters of water
8.33 liters of stock and 16.67 liters of water
1.47 liters of stock and 25.0 liters of water
8.33 liters of stock and 25.0 liters of water

Solution
4.3(223 votes)

Answer

0.833 liters of stock and 24.167 liters of water Explanation 1. Use the dilution formula **C_1V_1 = C_2V_2** where C_1 = 10.5 \, M, C_2 = 0.350 \, M, and V_2 = 25.0 \, L. Solve for V_1. 2. Calculate volume of stock solution needed V_1 = \frac{C_2V_2}{C_1} = \frac{0.350 \times 25.0}{10.5} = 0.833 \, L 3. Calculate volume of water needed Volume of water = Total volume - Volume of stock = 25.0 \, L - 0.833 \, L = 24.167 \, L

Explanation

1. Use the dilution formula<br /> **$C_1V_1 = C_2V_2$** where $C_1 = 10.5 \, M$, $C_2 = 0.350 \, M$, and $V_2 = 25.0 \, L$. Solve for $V_1$.<br /><br />2. Calculate volume of stock solution needed<br /> $V_1 = \frac{C_2V_2}{C_1} = \frac{0.350 \times 25.0}{10.5} = 0.833 \, L$<br /><br />3. Calculate volume of water needed<br /> Volume of water = Total volume - Volume of stock = $25.0 \, L - 0.833 \, L = 24.167 \, L$
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