A lake that has a surface area of 10.0 acres (l acre =

Chapter 20, Problem 96P

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Problem 96P

A lake that has a surface area of 10.0 acres (l acre = 4.840×103 yd2) receives l.00 in. of rain of pH 4.20. (Assume that the acidity of the rain is due to a strong, monoprotic acid.)

(a)        How many moles of H3O+ are in the rain falling on the lake?

(b)        If the lake is unbuffered (pH = 7.00) and its average depth is 10.0 ft before the rain, find the pH after the rain has been mixed with lake water. (Ignore runoff from the surrounding land.)

(c)        If the lake contains hydrogen carbonate ions (HCO3–), what mass of HCO3– would neutralize the acid in the rain?

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