Proteinuria, excess protein in the urine, is a symptom of many kidney diseases. A marker for proteinuria is a decrease in the surface tension of a urine sample over the course of a few hours, typically from 31 mN /m to 29 mN /m; the surface tension of normal urine does not change with time. The change in sur- face tension can be measured by monitoring the height of the liquid in a capillary tube. For a patient who has proteinuria, how high in mm will the liquid initially rise in a 0.80-mm- diameter capillary tube? How far will it fall over the course of a few hours? You can assume that the density of urine is the same as that

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