Final answer:
Option A is the correct answer because 12.5 mL of a 0.400 M HCl solution contains the same number of moles (0.005 moles) of HCl as 25.0 mL of a 0.200 M solution.
Step-by-step explanation:
The question asks to determine which solution has the same number of moles of HCl as a 25.0 mL of 0.200 M HCl solution. To find the solution with the equivalent number of moles, we use the formula moles = concentration × volume. For the given solution, we have 0.200 M × 0.025 L = 0.005 moles of HCl. Now, we compare this to the moles in each provided option:
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- Option A: 0.400 M × 0.0125 L = 0.005 moles of HCl
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- Option B: 0.185 M × 0.025 L = 0.004625 moles of HCl
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- Option C: 0.155 M × 0.045 L = 0.006975 moles of HCl
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- Option D: 0.150 M × 0.050 L = 0.0075 moles of HCl
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- Option E: 0.500 M × 0.100 L = 0.050 moles of HCl
Among the options provided, Option A is the correct answer as it contains the same number of moles of HCl (0.005 moles) as the original solution.