If the specific weight of a fluid is 19620 N/m3, then what will be its specific volume in m3/kg? (Take g = 9.81 m/sec2)

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SSC JE Mechanical 11 Oct 2023 Shift 2 Official Paper-I
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  1. 5 × 10-3
  2. 0.5 × 10-3
  3. 0.5 × 10-5
  4. 5 × 10-5

Answer (Detailed Solution Below)

Option 2 : 0.5 × 10-3
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Detailed Solution

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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:
Specific weight = ρg = 19620 N/m3

∴ Density (ρ) = 19620/9.81 = 2000 kg/m3

\(\nu=\frac{1}{ρ} = \frac{1}{20000}=0.5\times10^-3\; m^3/kg\)
The specific volume of liquid is 0.5 × 10-3 m3/kg.

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