A water molecule has a ratio of two hydrogen atoms to one oxygen atom. There are 48 atoms. Represent the ratio with a tape diagram.(1 point)

Question

Responses

Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 3. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. This rectangle is labeled 3. All the rectangles are equally sized.
Image with alt text: Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 3. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. This rectangle is labeled 3. All the rectangles are equally sized.

An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled hydrogen atoms and is 2 rectangles long. The bottom tape diagram is labeled oxygen atoms and is 1 rectangle long.
Image with alt text: An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled hydrogen atoms and is 2 rectangles long. The bottom tape diagram is labeled oxygen atoms and is 1 rectangle long.

Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 2. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. The rectangles are labeled 1. All the rectangles are equally sized.
Image with alt text: Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 2. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. The rectangles are labeled 1. All the rectangles are equally sized.

An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled oxygen atoms and is 2 rectangles long. The bottom tape diagram is labeled hydrogen atoms and is 1 rectangle long.

Answer 1

To represent the ratio of hydrogen atoms to oxygen atoms in a water molecule using a tape diagram, we start with the known ratio of 2:1. Given that there are 48 atoms in total, we can determine the number of hydrogen and oxygen atoms.

Since the ratio is 2:1, we can denote:

• Hydrogen atoms (H) = 2 parts
• Oxygen atoms (O) = 1 part

The total number of parts in the ratio = 2 + 1 = 3 parts.

Now, we can find the number of atoms per part:

• Total atoms = 48
• Atoms per part = 48 atoms ÷ 3 parts = 16 atoms per part.

Now, we calculate the number of hydrogen and oxygen atoms:

• Hydrogen atoms = 2 parts × 16 atoms/part = 32 hydrogen atoms
• Oxygen atoms = 1 part × 16 atoms/part = 16 oxygen atoms

To illustrate this using a tape diagram:

• The top tape should represent the hydrogen atoms and consists of 2 rectangles (each labeled 16).
• The bottom tape should represent the oxygen atoms and consists of 1 rectangle (labeled 16).

So the correct tape diagram representation is the one that has:

• Two rectangles for hydrogen labeled 16
• One rectangle for oxygen also labeled 16.

The illustration that meets these criteria is the second response:

"An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled hydrogen atoms and is 2 rectangles long. The bottom tape diagram is labeled oxygen atoms and is 1 rectangle long."