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Ch.1 - Chemical Tools: Experimentation & Measurement
Chapter 1, Problem 73

What is the density of lithium metal in g/cm3 if a cylindrical wire with a diameter of 2.40 mm and a length of 15.0 cm has a mass of 0.3624 g?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Density

Density is defined as the mass of an object divided by its volume, typically expressed in grams per cubic centimeter (g/cm³). It is a physical property that helps identify substances and can be calculated using the formula: density = mass/volume. Understanding density is crucial for solving problems related to the physical characteristics of materials.
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Volume of a Cylinder

The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height (or length) of the cylinder. In this context, the diameter of the wire is given, so the radius must be calculated by dividing the diameter by two. This concept is essential for determining the volume of the lithium wire needed to calculate its density.
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Unit Conversion

Unit conversion is the process of converting a measurement from one unit to another, which is often necessary in scientific calculations. In this problem, the diameter of the wire is given in millimeters, which must be converted to centimeters to match the volume's units. Mastery of unit conversion ensures accurate calculations and consistency in measurements.
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