ACT Science Practice Question #1311 (Medium (30)) | Test Citadel
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ACT Science Difficulty: Medium (30)

Digital ACT Science Practice Question #1311

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A chemistry student must prepare a $0.5\text{ M}$ aqueous solution of hydrochloric acid (HCl) starting from a stock solution with concentration $6.0\text{ M}$. The student measures exactly $50\text{ mL}$ of the $6.0\text{ M}$ stock solution. According to the dilution formula $M_1 V_1 = M_2 V_2$, what volume of distilled water, in milliliters, must be added to achieve the desired concentration?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Read carefully: 'What volume of water must be ADDED?' Always subtract initial volume: $V_2 - V_1 = {v2} - {v1} = {water_needed}$.

Masterclass Solution & Distractor Trap Analysis

Using $M_1 V_1 = M_2 V_2$: $$(6.0\text{ M})(50\text{ mL}) = (0.5\text{ M})(V_2) \implies 300.0 = 0.5 V_2 \implies V_2 = \frac{300.0}{0.5} = 600\text{ mL}.$$ The question asks for the volume of water *added*, which is the final total volume ...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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