Four students are analyzing four different substances and recording their findings in this table.

Properties of Substances
\begin{tabular}{|c|c|c|}
\hline
Substance & Definite shape? & Definite volume? \\
\hline
Leonna's substance & [tex]$X$[/tex] & [tex]$X$[/tex] \\
\hline
Xiao's substance & & [tex]$X$[/tex] \\
\hline
Blake's substance & [tex]$X$[/tex] & \\
\hline
Amir's substance & & \\
\hline
\end{tabular}

Which most describes this table?

A. Leonna has a solid, Xiao and Blake have liquids, and Amir has a gas.

B. Leonna and Amir have gases, Xiao has a liquid, and Blake has a solid.

C. Leonna has a solid, Xiao has a liquid, Blake has a gas, and Amir made a mistake.

D. Leonna has a solid, Xiao has a liquid, Blake made a mistake, and Amir has a gas.



Answer :

To determine which statement most accurately describes the properties of the substances in the given table, let's analyze each substance based on their recorded properties:

1. Leonna's substance:
- Definite shape? Yes (X)
- Definite volume? Yes (X)

Having both a definite shape and a definite volume means that Leonna's substance is a solid.

2. Xiao's substance:
- Definite shape? No
- Definite volume? Yes (X)

Having no definite shape but a definite volume means that Xiao's substance is a liquid.

3. Blake's substance:
- Definite shape? Yes (X)
- Definite volume? No

Having a definite shape but no definite volume does not correspond to any known state of matter, indicating that Blake may have made a mistake in recording or interpreting the properties of the substance.

4. Amir's substance:
- Definite shape? No
- Definite volume? No

Having neither a definite shape nor a definite volume means that Amir's substance is a gas.

Now, let's review the given statements and match them with our analysis:

1. Leonna has a solid, Xiao and Blake have liquids, and Amir has a gas.
- This statement is incorrect because Blake's substance does not fit any known state of matter.

2. Leonna and Amir have gases, Xiao has a liquid, and Blake has a solid.
- This statement is incorrect because Leonna's substance is a solid, not a gas.

3. Leonna has a solid, Xiao has a liquid, Blake has a gas, and Amir made a mistake.
- This statement is incorrect because Blake's substance does not fit the properties of a gas.

4. Leonna has a solid, Xiao has a liquid, Blake made a mistake, and Amir has a gas.
- This statement is correct based on the properties we analyzed.

Therefore, the correct and most descriptive statement is:
Leonna has a solid, Xiao has a liquid, Blake made a mistake, and Amir has a gas.

Hence, the correct answer is 4.