Question

The specific weight of water at ordinary pressure and temperature is 9.81 kN/m. The specific gravity of mercury is 13.56. Compute the density of water and the specific weight and density of mercury

Answer 1

The density of water is calculated as 1000 kg/m³, and using its density, the density and specific weight of mercury are found to be 13560 kg/m³ and 133,081.6 N/m³ respectively.

Step-by-step explanation:

The density of water can be calculated using the specific weight and the gravitational constant. Given that the specific weight of water is 9.81 kN/m³ and the gravitational constant is 9.81 m/s², the calculation of the density of water is straightforward:

Density (ρ) = Specific Weight ( γ) / Gravitational Acceleration (g)

ρ_water = 9.81 kN/m³ / 9.81 m/s² = 1000 kg/m³

For mercury, given that its specific gravity is 13.56 its density is 13.56 times the density of water. So:

ρ_mercury = 13.56 * 1000 kg/m³ = 13560 kg/m³

To find the specific weight of mercury (γ_mercury), we multiply its density by the gravitational constant:

γ_mercury = ρ_mercury * g

γ_mercury = 13560 kg/m³ * 9.81 m/s² = 133,081.6 N/m³