Measurement and Problem Solving

SI Base Units

The International System of Units (SI) is the standard system of measurement used in science, including chemistry. It is based on seven base units, each corresponding to a fundamental physical quantity.

• Length: meter (m)

• Mass: kilogram (kg)

• Time: second (s)

• Temperature: kelvin (K)

• Amount of substance: mole (mol)

• Electric current: ampere (A)

• Luminous intensity: candela (cd)

Other quantities, such as volume, are derived from these base units. For example, the SI unit for volume is the cubic meter (m3), which is derived from the unit of length.

Examples and Applications

• Example: Identifying SI Units

  • 1.25 × 103 m (meters) – SI unit for length

  • 6.12 × 102 kg (kilograms) – SI unit for mass

  • 25.0°C (degrees Celsius) – Not an SI base unit; kelvin is the SI unit for temperature

  • 1613 K (kelvin) – SI unit for temperature

Practice Problems

• Volume in SI Units:

  • 8271 cm3 – Not an SI base unit (should be converted to m3)

  • 10.372 L – Not an SI base unit (should be converted to m3)

  • 4518 km × 103 m3 – SI unit for volume (m3)

  • 50,622 mm – Not an SI base unit for volume

• Converting Time to SI Units:

  • 4783 s – Already in SI unit (seconds)

  • 0.333 × 103 s – SI unit (seconds)

  • 0.423 × 102 h – Not an SI base unit (should be converted to seconds)

SI Base Units Table

Key Equations

• Volume (derived SI unit):

• Temperature conversion (to SI unit):

• Time conversion:

Additional info: SI units are essential for scientific communication, ensuring consistency and accuracy in measurements across all fields of science.