mo 13c) Suppose that you had a leak in a water pipe that was dripping water on a
ID: 561487 • Letter: M
Question
mo 13c) Suppose that you had a leak in a water pipe that was dripping water on a ceiling at a rate of 0.400 L per day, If the drywall has a thickness of 1.25 em and a density of 0.970 g/em', how long will it take for the water to dissolve a hole in the drywall with a diameter of 1.200 cm? (8 pts) denity 470 q/em MMH,0-180, O.HOOL Thickness 125m 0410 g/em D-1200 crn 2. Cm3 18.0q 1.800 (1200 Cm) Ida Ihr -1200 c Na aSo 13d) If instead of ordinary water, the leaky pipe contained a solution of 0.50 M sodium sulfate, how would this affect the time required to dissolve the hole? Explain your choice in two sentences or less. (3 pts) 1) it would take more time to dissolve the hole t would take less time to dissolve the hole 3) the time to dissolve the hole would not changeExplanation / Answer
Rate of dripping water = 0.4 L/day
Thickness of drywall = 1.25 cm
Density of drywall = 0.97 g/cm3
Hole diameter = 1.2 cm
Volume of water in the hole = 3.14 x (1.2)2 / 4 x 1.25 = 1.413 cm3
Flowrate of water = 400 cm3/day
Time required = 1.413 / 400 x 24 x 60 = 5.08 min
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