The diameter of a hydrogen atom is 212 pm. Find the length...

The diameter of a hydrogen atom is 212 pm. Find the length in kilometers of a row of $6.02 \times 10^{23}$ hydrogen atoms. The diameter of a
ping pong ball is 4.0 $\mathrm{cm} .$ Find the length in kilometers of a row of
$6.02 \times 10^{23}$ ping pong balls.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Dimensional Analysis

Dimensional analysis is a systematic method used to convert one set of units to another and to check the consistency of equations involving different physical quantities. It ensures that all calculations are carried out using compatible units, leading to valid results across scales from the atomic to the macroscopic.

Avogadro's Number

Avogadro's number (approximately 6.02 × 10^23) is a fundamental constant in chemistry that denotes the number of particles in one mole of a substance. It is crucial for connecting the microscopic scale, such as individual atoms or molecules, to macroscopic quantities that can be measured and observed.

Unit Conversion

Unit conversion involves translating a measurement from one unit to another using defined conversion factors. This is essential in problems where distances are given in units like picometers or centimeters but need to be expressed in kilometers to compare phenomena at vastly different scales.

Scientific Notation

Scientific notation is a method for expressing very large or very small numbers in the form of a number between 1 and 10 multiplied by a power of ten. It simplifies arithmetic operations and helps maintain accuracy when dealing with measurements spanning many orders of magnitude, such as atomic diameters and macroscopic distances.

Transcript

Please give Ace some feedback