Question

A cylindrical swimming pool has a radius 2m and depth 1.3m .it is completely filled with salt water of specific gravity 1.03.The atmospheric preassure is 1.013 x 10^5 Pa.

a.calculate the density of salt water.

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Answer 1

the density of the salt water is 1030 kg/m³

Step-by-step explanation:

Given;

radius of the cylindrical pool, r = 2 m

depth of the pool, h = 1.3 m

specific gravity of the salt water, γ = 1.03

The atmospheric pressure, P₀ = 1.013 x 10⁵ Pa

Density of fresh water,
`\rho _w` = 1000 kg/m³

The density of the salt water is calculated as;

`Specific \ gravity \ of \ salt\ water \ (\gamma _s_w) = (density \ of \ salt \ water \ (\rho_(sw)))/(density \ of \ fresh \ water \ (\rho_(w))) \\\\1.03 = (\rho_(sw))/(1000 \ kg/m^3)\\\\\rho_(sw) = 1.03 * 1000 \ kg/m^3\\\\\rho_(sw) = 1030 \ kg/m^3`

Therefore, the density of the salt water is 1030 kg/m³