We have a 37.0 (0.5) wt% HCl solution with a density of 1.18 (0.01) g/mL. To deliver

Chapter 3, Problem 3-C

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We have a 37.0 (0.5) wt% HCl solution with a density of 1.18 (0.01) g/mL. To deliver 0.050 0 mol of HCl requires 4.18 mL 1 of solution. If the uncertainty that can be tolerated in 0.050 0 mol is 2%, how big can the absolute uncertainty in 4.18 mL be? (Caution: In this problem, you have to work backward. You would normally compute the uncertainty in mol HCl from the uncertainty in volume: But, in this case, we know the uncertainty in mol HCl (2%) and we need to find what uncertainty in mL solution leads to that 2% uncertainty. The arithmetic has the form , for which. If we know %ea, %ec, and %ed, we canfind %eb by subtraction: .)

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