To find out the required height of the oil column, we will use the ratio: ρн / ρрт = hрт / hн, from where we express: hн = hрт * ρрт / ρн.
Const: ρн – oil density (ρн = 650 … 1050 kg / m3; assumed ρн = 850 kg / m3); ρрт – density of mercury (ρрт = 13546 kg / m3, assumed ρрт ≈ 13600 kg / m3).
Data: hрт – known height of the mercury column (hрт = 16 cm).
Let’s perform the calculation: hн = hрт * ρрт / ρн = 16 * 13600/850 = 256 cm.
Answer: The oil column should be 256 cm high.
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