Correct Answer - Option 1 : 8.92
Concept:
Density (ρ): It is the ratio of mass per unit volume.
\(ρ=\frac{mass}{volume}⇒\frac{m}{V}\) kg/m3
Specific gravity (S.G): The specific gravity of a liquid is the relative weight of that liquid compared to an equal volume of water.
\(S.G= \frac{{Density\;of\;liquid}}{{Density\;of\;water}}⇒\frac{ρ}{ρ_w}\)
Specific volume (ν): It is the ratio of volume per unit mass.
\(\nu=\frac{volume}{mass}⇒\frac{V}{m}=\frac{1}{ρ}\) m3/kg
Calculation:
Given:
v = 0.000112 m3/kg.
\(\nu=\frac{V}{m}=\frac{1}{ρ}\)
\(0.000112=\frac{1}{ρ}\)
\(112\times10^{-6}=\frac{1}{ρ}\)
\(\rho=\frac{1}{112\times10^{-6}}=\frac{10^6}{112}\) kg/m3.
\(S.G= \frac{{Density\;of\;liquid}}{{Density\;of\;water}}⇒\frac{ρ}{ρ_w}\)
\(S.G= \frac{{Density\;of\;liquid}}{{Density\;of\;water}}⇒\frac{\frac{10^6}{112}}{1000}=\frac{1000}{112}=8.928\)
