The relative densities of two substances X and Y are 2.5 and 0.9 respectively. Find the densities of X and Y. Find whether the substance will sink or float?

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Solution

Step 1: Given data,
Relative density of $X$ is $ρ_{x} = 2.5$
Relative density of $Y$ is $ρ_{y} = 0.9$
Step 2: Calculate the density,
Relative Density: The ratio of a substance's density (mass per unit volume) to the density of water is known as relative density or specific gravity.
As the density of water is $ρ_{w} = 1000 K g / m^{3}$
Thus, $Relativedensityof X = \frac{D e n s i t y o f X}{D e n s i t y o f w a t e r}$
$D e n s i t y o f X = R e l a t i v e d e n s i t y o f X \times D e n s i t y o f w a t e r$
$D e n s i t y o f X = 2.5 \times 1000 = 2500 k g / m^{3}$
Similarly,
$D e n s i t y o f Y = R e l a t i v e d e n s i t y o f Y \times D e n s i t y o f w a t e r \Rightarrow D e n s i t y o f Y = 0.9 \times 1000 = 900 k g / m^{3}$
Thus, the density of substances X and Y is $2500 k g / m^{3}$ and $900 k g / m^{3}$
As the density of $X$ is greater than the density of water ( $1000 k g / m^{3}$ ) thus, the substance $X$ will sink in the water.
As the density of $Y$ is less than the density of water, thus, the substance $Y$ will float in the water.

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