Sure, let's fill in the systematic names for the given chemical compounds. Here's the detailed solution:
1. For the chemical compound with the molecular formula [tex]\(PCl_3\)[/tex]:
- Phosphorus has oxidation numbers of -3, +3, and +5. Here, it combines with three chlorine atoms.
- The systematic name is "Phosphorus trichloride."
2. For the chemical compound with the molecular formula [tex]\(Cl_2O_3\)[/tex]:
- This compound consists of two chlorine atoms and three oxygen atoms.
- The systematic name is "Dichlorine trioxide."
3. For the chemical compound with the molecular formula [tex]\(Cl_2O_7\)[/tex]:
- This compound consists of two chlorine atoms and seven oxygen atoms.
- The systematic name is "Dichlorine heptoxide."
4. For the chemical compound with the molecular formula [tex]\(PCl_5\)[/tex]:
- Here, phosphorus is combined with five chlorine atoms.
- The systematic name is "Phosphorus pentachloride."
5. For the chemical compound with the molecular formula [tex]\(NH_3\)[/tex]:
- The common name for this compound is commonly used instead of its systematic name, which is nitrogen trihydride.
- The common name is "Ammonia."
So the table with the systematic names filled in will be:
[tex]\[
\begin{tabular}{|c|c|}
\hline
molecular formula & name of compound \\
\hline
$PCl_3$ & Phosphorus trichloride \\
\hline
$Cl_2O_3$ & Dichlorine trioxide \\
\hline
$Cl_2O_7$ & Dichlorine heptoxide \\
\hline
$PCl_5$ & Phosphorus pentachloride \\
\hline
$NH_3$ & Ammonia \\
\hline
\end{tabular}
\][/tex]
