Question

The volume of $50 \mathrm{~g}$ of a substance is $20 \mathrm{~cm}^{3}$. If the density of water is $1 \mathrm{~g} \mathrm{~cm}^{-3}$, will the substance float or sink?

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Answer

To determine if the substance will float or sink in water, we need to compare its density with that of water.

The density ($\rho$) of a substance can be calculated using the formula:

$$ \rho = \frac{\text{mass}}{\text{volume}}$$

Given the mass and volume of the substance, we can calculate its density:

$$\rho_{\text{substance}} = \frac{50 \text{ g}}{20 \text{ cm}^3} = 2.5 \text{ g/cm}^3$$

Since the density of water is $1 \text{ g/cm}^3$, and the density of the substance is $2.5 \text{ g/cm}^3$, the substance is denser than water.

Therefore, the substance will sink in water.


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