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Darcie is about to pour some paint into a container of water. Paint will settle as a layer on top of the water. Water has a density of 1000kg/m^3 and paint has a density of 1100kg/m^3 Is Darcie's hypothesis correct? Yes , because paint is more dense. No , because paint is more dense. Yes , because paint is less dense.

Question

Darcie is about to pour some paint into a
container of water.
Paint will settle as a layer
on top of the water.
Water has a density of 1000kg/m^3 and
paint has a density of 1100kg/m^3
Is Darcie's hypothesis correct?
Yes , because paint is more dense.
No , because paint is more dense.
Yes , because paint is less dense.

Darcie is about to pour some paint into a container of water. Paint will settle as a layer on top of the water. Water has a density of 1000kg/m^3 and paint has a density of 1100kg/m^3 Is Darcie's hypothesis correct? Yes , because paint is more dense. No , because paint is more dense. Yes , because paint is less dense.

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VeldaElite · Tutor for 8 years

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Based upon my calculation, I can conclude that Darcie’s Hypothesis of paint settling down at bottom is incorrect because paint happens to be denser than water, hence it will float above the water. Answer is: Yes, because paint is more dense.

Explain

## Step 1: Understanding density<br />In nutshell, density is a parameter calculated as ratio of mass to volume i.e. how much ‘stuff’ is compressed in guidance space. In more scientific terminology we express density as \(\rho = \frac{m}{v}\) where \(m \) stand for mass and \( v \) for volume. <br /><br />## Step2: Substance settling<br />Following the principles of density, an underlying determinant dictating if a substance will settle at bottom or float will be its density opposed to the density of substace it is placed in. <br />If a substance is of higher mass per unit volume than that of fluid then it will sink, or submerge. On the contrary if its density is lesser it will tend to float. <br /><br />## Step 3: <br />Henceforth, following the principles of density presented in step 2 we can now evaluate Darcie’s Hypothesis.<br /><br />### Following our calculation:<br />Density of Paint: \(1100 \mathrm{~kg/m}^{3}\)<br />Density of water: \(1000 \mathrm{~kg/m}^{3}\)
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