SUMMARY
The density of lithium metal can be calculated using the formula D=m/V, where D is density, m is mass, and V is volume. In this case, a cylindrical wire with a diameter of 2.40 mm and a length of 15.0 cm has a mass of 0.3624 g. To find the density, first calculate the volume of the cylinder using the formula V=πr²h, where r is the radius and h is the height (length). After determining the volume, divide the mass by the volume to obtain the density in g/cm³.
PREREQUISITES
- Understanding of basic geometry, specifically the formula for the volume of a cylinder.
- Familiarity with the concept of density and its formula D=m/V.
- Ability to perform unit conversions, particularly between millimeters and centimeters.
- Basic arithmetic skills for calculations involving π and other numerical values.
NEXT STEPS
- Learn how to calculate the volume of different geometric shapes, including cylinders and spheres.
- Study the properties of lithium metal and its applications in various industries.
- Explore advanced density calculations involving temperature and pressure variations.
- Investigate the significance of density in material science and engineering applications.
USEFUL FOR
Students studying chemistry or physics, educators teaching density calculations, and anyone interested in the properties of lithium metal and its applications.