Dimensional analysis in chemistry is a systematic problem-solving method used to convert between different units of measurement by establishing relationships between those units. It relies on conversion factors, which are ratios that express how many of one unit equal another unit (e.g., 1 inch = 2.54 cm). This method allows chemists to convert quantities within the same dimension, such as time, mass, length, or volume, and sometimes between related dimensions, like converting volume of water to mass using density (1 kg of pure water = 1 L)

. The process involves multiplying the given quantity by one or more conversion factors so that units cancel appropriately, leaving the desired unit. Dimensional analysis ensures that calculations are dimensionally consistent, which is crucial for verifying the correctness of scientific equations-a principle known as dimensional homogeneity

. In chemistry, dimensional analysis is fundamental for converting between units like grams to moles, liters to milliliters, or seconds to minutes, and is essential for interpreting measurements and solving quantitative problems

. It is also called the factor-label method or unit factor method

. In summary, dimensional analysis is a tool that helps chemists convert units, check equations, and relate different physical quantities through their dimensions and conversion factors.