500 mL of a 0.25 M HCl solution needs to be made from concentrated HCl. What volume of the concentrated solution is needed if its molarity is 12.0 M?
Proportion 1:
0.25 mol – 1000 mL
x mol – 500 mL
"x = \\frac{0.25 \\times 500}{1000} = 0.125 \\;mol" (quantity of HCl, that must be used)
Proportion 2:
12.0 mol – 1000 mL
0.125 mol – y
"y = \\frac{0.125 \\times 1000}{12} = 10.41 \\;mL" (volume of 12.0 M HCl, that is needed)
Answer: 10.41 mL
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