A solid piece of lead has a mass of and a volume of .From these data, calculate the density of lead in SI units (kilograms per cubic meter).
The density of the solid piece of lead in SI unit is
The amount of mass of any substance to its quantity or volume gives the density of that substance. Density is defined as the ratio of a mass to the volume of asubstance.
Density is measured inSI unit— andCGS unit—
Unit conversion is a conversion of a unit of the same quantity from one unit to another using multiplication or division. It is a multistep process that involves multiplication/division by conversion factor
Write the expression for the density of the lead substance in terms of its mass and volume.
Here, is the density of the lead, is mass of the lead, and is volume of the lead.
Unit conversion method is used for the density measurements so that the final result will be close to the expected value.
Convert the unit for volume to .
Convert the unit for mass to .
Replace for and for in equation (1).
Hence, the density of the of the solid piece of lead is
A crystalline solid consists of atoms stacked up in a repeating lattice structure. Consider a crystal as shown in Figure . The atoms reside at the corners of cubes of side . One piece of evidence for the regular arrangement of atoms comes from the flat surfaces along which a crystal separates, or cleaves, when it is broken. Suppose this crystal cleaves along a face diagonal as shown in Figure . Calculate the spacing d between two adjacent atomic planes that separate when the crystal cleaves.
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