Hydraulics 1

1) If a certain gasoline weighs 7 KN/m³, what are the values of its density, specific volume, and specific gravity relative to water at 15°C?

Density:

ρ = 7 / 9.81

ρ = 713.56 kg/m³

Specific Volume:

v = 1 / 713.56

v = 1.401 x 10^-3 m³/kg

Specific Gravity:

 s = 7000 / 9798    , specific weight of water at 15°C is 9.789 N/m³

 s = 0.714

2)   A certain gas weighs 16N/m³ at a certain temperature and pressure. What are the values of its density, specific volume, and specific gravity relative to air weighing 12 N/m³?

Specific Gravity:

s = w / w_air

s = 16 / 12

s = 1.33

Density:

ρ = 16 / 9.81

ρ = 1.631 kg / m³

         

Specific Volume:

v = 1 / 1.631

v = 0.613 m³ / kg

3) If 5.30 m3 of a certain oil weighs 43,860 N, calculate the specific weight, density and specific gravity of this oil.

Specific Weight:

w = weight / volume

w = 43860 / 5.30

w = 8275.47 N / m³

                       Density:

ρ = specific weight of oil / g

ρ = 8275.47 / 9.81

ρ = 843.58 kg / m³

Specific Gravity:

s = density of oil / density of water

s = 843.58 / 1000

s = 0.84