A cylindrical container of cross-sectional area is sealed by a frictionless

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A cylindrical container of cross-sectional area 3.0×10−3 m23.0\times10^{-3}\,\text{m}^2 is sealed by a frictionless, flat piston of mass 2.5 kg. Beneath the piston are two immiscible layers: 0.12 m of mineral oil (ρ=850 kg m−3\rho=850\,\text{kg\,m}^{-3}) floating on 0.25 m of glycerin (ρ=1260 kg m−3\rho=1260\,\text{kg\,m}^{-3}). The outside air is at 1.01×105 Pa1.01\times10^{5}\,\text{Pa}, and g=9.8 m s−2g=9.8\,\text{m\,s}^{-2}. Calculate the absolute pressure at the bottom of the glycerin layer.

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