The specific gravity of the liquid is 8 kN/m³.
The specific gravity is given as the ratio of the density of the substance with respect to the reference material.
The specific gravity with liquids at varying pressure is given with the Bernoulli's equation as:
[tex]\rm \dfrac{P_1}{\gamma} \;+\;z_1 \;=\;\dfrac{P_2}{\gamma}\;+\;z_2[/tex]
Substituting the pressure (P), the elevation (z), the specific gravity (γ) is given as:
[tex]\rm \dfrac{P_1}{\gamma}-\dfrac{P_2}{\gamma}=z_2-z_1\\\\\gamma =\dfrac{P_1-P_2}{z_2-z_1}\\\\\gamma=\dfrac{120-80\;kpa}{12-7\;m}\\\\\gamma=8kN/m^3[/tex]
Thus, the specific gravity of the liquid is 8 kN/m³.
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