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Chapter 36: Problem 2

A friend who hasn't studied physics asks you the size of a hydrogen atom. How do you answer?

Short Answer

Expert verified
A hydrogen atom is incredibly small, with a size of about 53 picometers (one trillionth of a meter). For perspective, if a hydrogen atom were the size of a one-meter ball, a human hair in the same scale would be around 1 kilometer thick.

Step by step solution

01

Simplify the concept

Firstly, consider that matter is mostly empty space. Even a tiny hydrogen atom, which is the smallest atom, consists primarily of empty space. The atom itself is roughly a trillionth of a centimeter in size.
02

Provide a standard measurement

The size of a hydrogen atom is generally measured in terms of its atomic radius. For a hydrogen atom, this is around 53 picometers (1 picometer = \(1 \times 10^{-12}\) meters). This is often considered the 'size' of the atom.
03

Relate to everyday objects

To put this size into perspective, if a hydrogen atom was magnified until it was one meter in diameter, a human hair would be approximately 1 kilometer in diameter.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Atomic Radius
Understanding the atomic radius of a hydrogen atom is key to appreciating its size. The atomic radius is the distance from the center of the atom's nucleus to the outer edge of its electron cloud. In simpler terms, it defines how large an atom is.

For a hydrogen atom, the atomic radius is approximately 53 picometers. To give some perspective, a picometer is one trillionth (\(1 \, \times \, 10^{-12}\)) of a meter. This is incredibly small! Imagine slicing a meter stick into a trillion pieces鈥攖hat's the size of a picometer.
  • The atomic radius helps us understand not just the size, but also how positive charges (protons) and electrons interact.
  • It also indicates how atoms bond with other atoms, contributing to molecular structures.
Hydrogen Atom
The hydrogen atom serves as an excellent starting point when learning about atomic structure. It is the simplest and most abundant element in the universe, composed of just one proton and one electron. This simplicity allows scientists and students alike to explore fundamental atomic phenomena without the complexity of heavier elements.

Because hydrogen atoms are composed of a single electron orbiting a single proton, their interactions and behaviors set the groundwork for understanding quantum mechanics and chemical bonding.
  • Hydrogen鈥檚 small size and singular atomic structure make it a common unit of measurement in physics and chemistry.
  • It revolutionized our understanding of the atom, especially with models developed by Bohr and Rutherford.
Scale and Measurement
Measurements of atomic and subatomic particles often challenge our perception of size and scale. Understanding these scales requires transforming abstract numbers into more relatable visualizations and comparisons.

For example, the size of a hydrogen atom is about a trillionth of a centimeter, making it necessary to use units like picometers for practicality.
  • Visualizing size: To imagine the scale, consider if a hydrogen atom were scaled up to 1 meter, a human hair, by comparison, would expand to about 1 kilometer in diameter!
  • Scale and scientific notation: Using scientific notation helps manage extremely small or large numbers, making calculations and comprehension easier.
In physics education, analogies and scaled comparisons help in grasping just how small an atom can be.

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Most popular questions from this chapter

You've acquired a laser for your dental practice. It produces \(400-\mathrm{mJ}\) pulses at 2.94 - \(\mu\) m wavelength. A patient wonders about the number of photons in each pulse, and where they lie in the EM spectrum. Your answer?

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Use shell notation to characterize rubidium's outermost electron.

A hydrogen atom is in the \(2 s\) state. Find the probability that its electron will be found (a) beyond one Bohr radius and (b) beyond 10 Bohr radii.

A hydrogen atom is in the \(6 f\) state. Find (a) its energy and (b) the magnitude of its orbital angular momentum.
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