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Home » 4x^2 + 50x - 81 = 0 - Esdistancia

4x^2 + 50x - 81 = 0 - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 \[\boxed{10}.\]1. A science educator is organizing a hands-on chemistry activity involving titration. She needs 0.5 liters of 0.2 M hydrochloric acid for each of 8 student groups. If she has a 2-liter stock solution of 1.0 M HCl, how many liters of water must she add to dilute the stock solution sufficiently for all groups?

📌 Each group requires 0.5 L × 0.2 mol/L = <<0.5*0.2=0.1>>0.1 moles of HCl.

📌 Total moles needed = 0.1 mol/group × 8 groups = <<0.1*8=0.8>>0.8 moles.

📌 From a 1.0 M stock, volume needed = 0.8 mol / 1.0 M = <<0.8/1=0.8>>0.8 liters.

📌 Since she starts with 2.0 L and needs only 0.8 L of solution, she must add 2.0 L − 0.8 L = <<2.0-0.8=1.2>>1.2 liters of water.

📌 A research assistant is preparing a solution for a proteomics assay. She combines 300 mL of a 0.6 M NaCl solution with 700 mL of a 0.1 M NaCl solution. What is the final concentration of the mixed solution in millimolar (mM)?

📌 Moles from first solution = 0.3 L × 0.6 mol/L = <<0.3*0.6=0.18>>0.18 moles.

📌 Moles from second solution = 0.7 L × 0.1 mol/L = <<0.7*0.1=0.07>>0.07 moles.

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