Question

A U-tube with a cross-sectional area of 1.00 cm2 is open to the atmosphere at both ends. Water is poured into the tube until the water rises part-way along the straight sides, and then 5.00 cm3 of oil is poured into one end. As a result, the top surface of the oil ends up 0.550 cm higher than the water surface on the other side of the U. What is the density of the oil

Answer 1

0.89 g/cm^3 = 890 kg/m^3

Step-by-step explanation:

Cross sectional area of U-tube ( A ) = 1.00 cm^2

volume of oil ( V ) = 5.00 cm^3

change between top surface = 0.550 cm

height of oil = 5 cm ( volume / area )

height of water = 5 - 0.550 = 4.45 cm

pressure at the oil-water junction = Pressure on the second side of the U-tube at same level

Po * g * Hoil = Pw * g * Hwater

Po * 5 = 1 * 4.45

∴ Density of oil ( Po ) = 4.45 / 5 g/cm^3 = 0.89 g/cm^3