do question 31 with explanation contained in the tank? 31. A 2-liter IL] soda bo
ID: 1581857 • Letter: D
Question
do question 31 with explanation
contained in the tank? 31. A 2-liter IL] soda bottle, made of PET, will fail at approximately 150 pound-force per square inch lpsi] of pressure. If you were to dive straight down into the ocean with a 2-liter [L] bottle, at what depth in units of feet [ft] would the bottle fail? Assume the specific gravity of ocean water is 1.025 32. A storage tank is being designed for iodine. The storage tank is to be spherical and will withstand a maximum hydrostatic pressure of 1375 millimeters of mercury [mm Hgl. What is the diameter of the tank in meters [m]? The density of iodine is 5010 kilograms per cubic meter [ kg/m31. 33. The specific gravity of honey is 1.43. A cylindrical container of honey 10 feet Ift] deep is inside a dome pressurized to a surface pressure of 0.06 atmospheres [atm] on the surface of Pluto. The total pressure at the bottom of the container is 67 millimeters of mercury [mm Hgl. What is the gravitational acceleration of Pluto, inExplanation / Answer
31. Atmospheric pressure(p0) = 1 atm = 14.7 psi
Failing pressure = 150 psi(given)
Let the height at which the bottle fails be 'h' feet.
Total pressure at depth h underwater = p0 + Pressure due to liquid column
= p0 + hdg( d is the density of the ocean water and g is the acceleration due to gravity).
Density of ocean water = 1.025 g/cc ~ 64 lb/ft^3
= 14.7 + (h. 64. 32) psi
= 14.7 + 2048*h psi
This pressure is equal to the failing pressure = 150 psi
or, 14.7 + 2048*h = 150
2048*h = 135.3
h = 135.3/2048
= 0.066 feet Ans.
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