Dimensional Analysis and Unit Conversions Flashcards

Vocabulary flashcards reviewing unit conversions, prefix multipliers, dimensional analysis rules, and problem-solving steps based on the lecture notes.

Base Unit for Mass

The standard metric unit for mass, which is grams, whereas kilograms includes the prefix multiplier kilo.

Prefix Multipliers

Symbols or exponents added before base units that allow scientists to conveniently express very large or very small numbers without writing trailing or leading zeros.

Kilo- (k)

A prefix multiplier representing $10^3$ or $1000$.

Femto- (f)

A prefix multiplier representing $10^{-15}$.

Nano- (n)

A prefix multiplier representing $10^{-9}$.

Pico- (p)

A prefix multiplier representing $10^{-12}$.

Angstrom

A unit of length equal to $10^{-10}\,\text{m}$, typically used when referring to atomic sizes.

Four-Step Problem-Solving Approach

A structured method for solving chemistry conversion problems consisting of four steps: sort, strategize, solve, and check.

Sort Step

The initial step in problem solving where you identify useful information and isolate the given starting number.

Strategize Step

The step in problem solving where you draw a conceptual plan and set up conversion factors as fractions with appropriate units.

Solve Step

The step in problem solving where you calculate the mathematical solution by multiplying numbers on top of fractions and dividing by numbers on the bottom.

Check Step

The final step in problem solving where you verify that units cancel out, check significant figures, and confirm the reasonableness of the numerical result.

Dimensional Analysis

A method of problem solving that treats units like algebraic quantities, canceling them out when they appear on opposite sides of a fraction.

Cubic Centimeter (cc)

A unit of volume ($1\,\text{cm}^3$) that is exactly equivalent to one milliliter ($1\,\text{mL}$).

Monolayer

A single two-dimensional surface array or layer of compounds or ligands that is one layer thick.