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Density Explained: Calculating the Density of an Osmium Cube

Chapter , Problem 1.30

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QUESTION:

(a) A cube of osmium metal 1.500 cm on a side has a mass of 76.31 g at \(25^\circ C\). What is its density in \(g/c{m^3}\) at this temperature?

(b) The density of titanium metal is \(4.51 \mathrm{~g} / \mathrm{cm}^{3}\) at \(25^{\circ} \mathrm{C}\). What mass of titanium displaces 125.0 mL of water at \(25^{\circ} \mathrm{C}\)?

(c) The density of benzene at \(15^{\circ} \mathrm{C}\) is 0.8787g/mL. Calculate the mass of 0.1500 L of benzene at this temperature.

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QUESTION:

(a) A cube of osmium metal 1.500 cm on a side has a mass of 76.31 g at \(25^\circ C\). What is its density in \(g/c{m^3}\) at this temperature?

(b) The density of titanium metal is \(4.51 \mathrm{~g} / \mathrm{cm}^{3}\) at \(25^{\circ} \mathrm{C}\). What mass of titanium displaces 125.0 mL of water at \(25^{\circ} \mathrm{C}\)?

(c) The density of benzene at \(15^{\circ} \mathrm{C}\) is 0.8787g/mL. Calculate the mass of 0.1500 L of benzene at this temperature.

ANSWER:

Step 1 of 3

Density

The physical property of matter that illustrates the mass occupied by it in one unit volume is called density. It represents the tightness of the arrangement of particles within matter. Mathematically, density is calculated as:

\(Density = \dfrac{{Mass}}{{Volume}}\) 

A substance with a high density has a very close packing of particles such that its mass per unit volume increases.

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Density Explained: Calculating the Density of an Osmium Cube
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In this tutorial, we break down the principle of density, illustrating it as a measure of mass per unit volume. Using an osmium cube as a practical example, we walk viewers through the steps of computing its density, demonstrating the interplay between mass, volume, and particle arrangement.


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