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A container is filled to a depth of 105.7 cm with water. On top of the water floats a 142.9 cm thick layer of oil with specific gravity 0.607. What is the absolute pressure at the bottom of the container? The acceleration of gravity is 9.8 m/s 2 . Answer in units of Pa.

Answer :

MathPhys

Answer:

1.20×10⁵ Pa

Explanation:

Hydrostatic pressure is the pressure due to the weight of a fluid. The absolute pressure is equal to the atmospheric pressure plus the sum of each fluid's hydrostatic pressure. A fluid's hydrostatic pressure is the product of the fluid's density, the acceleration due to gravity, and the depth of the fluid.

P = Patm + Poil + Pwater

P = Patm + ρ₁gh₁ + ρ₂gh₂

P = (101,325 Pa) + (607 kg/m³) (9.8 m/s²) (1.429 m) + (1000 kg/m³) (9.8 m/s²) (1.057 m)

P = (101,325 Pa) + (8501 Pa) + (10,359 Pa)

P = 120,185 Pa

Rounded to three significant figures, the pressure is 1.20×10⁵ Pa.

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