If you wanted to make an accurate scale model of the...

Key Concepts

Proportional Reasoning

This involves the use of ratios to compare different quantities, which is essential when scaling dimensions. By maintaining the proportion between parts of the model and their real counterparts, accurate representations can be achieved even when the sizes vary by several orders of magnitude.

Orders of Magnitude

This concept refers to the exponential scale of measurement used to compare vastly different sizes. In the context of atomic and nuclear dimensions, it emphasizes that the nucleus is many times smaller than the atom itself, usually differing by factors on the order of 10^5 or more.

Atomic Structure

This concept involves understanding that an atom consists of a tiny, dense nucleus and a relatively vast electron cloud. In many atoms, especially in a hydrogen atom, the nucleus is minuscule compared to the overall size of the atom, highlighting the vast empty space within an atom.

Scale Modeling

Scale modeling is the process of creating a representation of an object by proportionally reducing or enlarging its dimensions using a constant scaling factor. It allows us to visualize and understand phenomena that occur at scales too small or too large to perceive directly.

Transcript

00:02 Some this video, we're gonna talk about question 50 from chapter two, which says, if you wanted to make an accurate scale model of the hydrogen atom and decided that the nucleus would have a diameter of one millimeter, what would be the diameter of the entire model? um, so let's go over the structure of an atom.

00:20 So in an atom, we have are more massive, um, protons and neutrons concentrated at the center of the atom and what's called the atomic nucleus around the atomic nucleus.

00:34 We have electrons orbiting in a kind of poorly defined region, kind of like an electron cloud.

00:42 And these, these loosely defined orbital's, um, in our hydrogen.

00:47 Adam, um, our nucleus is actually contains no neutrons.

00:52 It contains just one proton, and we only have one electron orbiting our nucleus, which is made up of just one proton.

01:00 Um, so approximately, how large is our nucleus? and how large is this electron cloud that's around it? um, well, our book tells us that the approximate nucleus diameter is 10 to the minus 13 centimeters, and it tells us that electrons orbit that nucleus an approximate distance of 10 to the minus eight centimeters eso let's convert that two millimeters for convenience since we were told that the nucleus of our of our accurate scale model is one millimeter.

01:36 So we're gonna work in millimeters, so they're 10 millimeters and every once and a meter, so we have 10 to the minus 13 centimeters.

01:44 Then we have 10 to the minus 12 millimeters and we have 10 to the minus eight centimeters.

01:51 Then we have 10 to the minus seven millimeters...

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