☰ Contents · Natural science

Liquids in a U-tube, Archimedes’ force and floating

Lessons 68–70 · 3 lessons · K. T. Suyarov, Z. B. Sangirova, M. T. Umaraliyeva, S. G‘. Xasanova, M. K. Yuldasheva, D. T. Hasanova. Natural Science, Grade 6 (new edition). Republican Education Centre, 2022
68

Practical: Liquid levels in connected vessels

Textbook, pp. 150–151
GoalMeasure water and oil column heights in a U-tube and calculate the oil’s density.
New words
density · zichlikcolumn height · ustun balandligiboundary (interface) level · chegara sathiimmiscible liquids · aralashmaydigan suyuqliklar
Explanation

Water and vegetable oil do not mix and oil is lighter than water. Pour water into one side of a U-tube and then oil into the other. The oil pushes the water down on its side and up on the other. At balance the pressures are equal at the boundary level: ρ_water × g × h_water = ρ_oil × g × h_oil. Both heights are measured from the horizontal level where the oil–water boundary stands (from the boundary to the top of the oil, and from that same level to the top of the water). From this ρ_oil = ρ_water × h_water ÷ h_oil. Because oil is lighter, its column is taller and the calculated ρ_oil comes out below 1000 kg/m³ (about 900–920 kg/m³ for vegetable oil).

Worked examples
h_water = 9 cm, h_oil = 10 cm: ρ_oil = 1000 × 9 ÷ 10 = 900 kg/m³.
If h_water = 18 cm and the oil’s density is 900 kg/m³, h_oil = 1000 × 18 ÷ 900 = 20 cm.
Class activity

Practical: make a U from clear plastic hose and fix it upright to a stand or books. Pour in water first and then carefully add oil through a funnel. With a ruler, measuring from the boundary level, record h_water and h_oil in 3 trials with different amounts of oil and calculate the oil’s density. Safety: oil is slippery – wipe spills at once with paper towels and tell the teacher; use plastic hose instead of glass tubing; drink or taste nothing; wash hands with soap afterwards.

Practice
1
Why is the oil column taller than the water column?
2
h_water = 12 cm, h_oil = 15 cm. What is the oil density in kg/m³? (ρ_water = 1000)
3
From where are the heights measured?
4
Why is it important in the experiment that water and oil do not mix?