A mercury manometer is used to measure the pressure difference between two points along a pipe through which water is flowing. Water at the higher upstream pressure P1 is applied to the top of the left column of the manometer and water at the lower downstream pressure P2 is applied to the top of the right column. This causes a measurable height difference, hHg, between the water-mercury interfaces in the two columns. h = (P1-P2)/rho*g. What i need to find out is the value for a dimensionless constant, sigma in terms of the mass density of the water and mercury. The relationship between h and hHg is h=sigma*hHg.
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