Sure, let's approach this problem step-by-step. This process involves understanding the melting point trends of molecules.
### Step 1: Identify the Compounds and their Melting Points
We'll list the compounds and their corresponding melting points here for clarity:
1. Compound A
2. Compound B
3. Compound C
4. Compound D
### Step 2: Arrange the Compounds Based on Melting Point
Next, we need to arrange these compounds in order of increasing melting points (from the lowest to the highest).
[tex]\[
\begin{tabular}{|c|c|}
\hline
molecule & melting point \\
\hline
Compound A & 1 (lowest) \\
\hline
Compound B & $\nabla$ \\
\hline
Compound C & $\nabla$ \\
\hline
Compound D & 4 (highest) \\
\hline
\end{tabular}
\][/tex]
### Step 3: Determine the intermediate values
We observe that:
- Compound A has the lowest melting point.
- Compound D has the highest melting point.
Based on the given constraints:
1. Compound B and Compound C will fall somewhere in between.
So, the table will look like:
[tex]\[
\begin{tabular}{|c|c|}
\hline
molecule & melting point \\
\hline
Compound A & 1 (lowest) \\
\hline
Compound B & $\nabla$ \\
\hline
Compound C & $\nabla$ \\
\hline
Compound D & 4 (highest) \\
\hline
\end{tabular}
\][/tex]
### Step 4: Fill in the remaining positions based on the intermediate comparison
Given that:
- Compound B has a melting point between the lowest compound (A) and the highest compound (D).
- Compound C also fits this criterion.
By comparing their relative average positions, we come to:
- Compound A has the lowest melting point.
- Compound B next, followed by,
- Compound C, and finally,
- Compound D with the highest melting point.
So the final ordered arrangement by increasing melting point should be:
[tex]\[
\begin{tabular}{|c|c|}
\hline
molecule & melting point \\
\hline
Compound A & 1 (lowest) \\
\hline
Compound B & 2 \\
\hline
Compound C & 3 \\
\hline
Compound D & 4 (highest) \\
\hline
\end{tabular}
\][/tex]
This confirms the correct order by increasing melting points from lowest to highest.
