Question

If 5 m3 of a certain oil weighs 40 kN, calculate the specific weight, mass density and specific gravity of this oil.

Answer 1

Answer:

hey apply formula d=m/v

Answer 2

Answer:

The oil's specific weight = $9kN/m^{3}$.

The oil's specific gravity = $0.918$.

The oil's mass density = $918.36kg/m^{3}$.

Explanation:

Given,

The volume of the oil = $5m^{3}$

The weight of the oil = $40kN$

The specific weight of the oil =?

The specific gravity of the oil =?

The mass density of the oil =?

As we know,

• The specific weight of the oil = $\frac{Weight of the oil}{Volume of the oil}$ = $\frac{40}{5}$ = $9kN/m^{3}$ or $9000N/m^{3}$.

Now,

• The specific gravity of the oil = $\frac{Specific weight of the oil}{Specific weight of the water}$

As we know,

• The water's specific weight = $9.8kN/m^{3}$

Thus,

• Specific gravity of the oil = $\frac{9}{9.8}$ = $0.918$.

Now,

• The mass density of the oil = $\frac{Specific weight of the oil}{Acceleration due to gravity}$

As we know,

• Acceleration due to gravity = $9.8m/s^{2}$

Thus,

• Mass density of the oil = $\frac{9000}{9.8}$ = $918.36kg/m^{3}$.