Calculate the ratio of sodium to element "Z" for compound A.

\begin{tabular}{|c|c|c|c|}
\hline Compound & \begin{tabular}{c}
Mass Na \\
(grams)
\end{tabular} & \begin{tabular}{c}
Mass Z \\
(grams)
\end{tabular} & Formula \\
\hline A & 12.00 & 2.44 & [tex]$Na _3 Z$[/tex] \\
\hline B & 3.45 & 0.700 & [tex]$?$[/tex] \\
\hline C & 14.00 & [tex]$?$[/tex] & [tex]$Na _3 Z$[/tex] \\
\hline D & 25.00 & 30.47 & [tex]$?$[/tex] \\
\hline
\end{tabular}

A. 29.28:1

B. [tex]$0.203: 1$[/tex]

C. [tex]$4.92: 1$[/tex]

D. [tex]$0.820: 1$[/tex]



Answer :

To calculate the ratio of sodium (Na) to element "Z" in compound A, follow these steps:

1. Identify the Given Data:
- Mass of sodium (Na) in compound A: [tex]\(12.00 \, \text{grams}\)[/tex]
- Mass of element Z in compound A: [tex]\(2.44 \, \text{grams}\)[/tex]

2. Set Up the Ratio:
The ratio of sodium to element Z is given by the mass of sodium divided by the mass of element Z.

3. Calculate the Ratio:
[tex]\[ \text{Ratio of Na to Z} = \frac{\text{Mass of Na in Compound A}}{\text{Mass of Z in Compound A}} \][/tex]
Substitute the given values:
[tex]\[ \text{Ratio of Na to Z} = \frac{12.00 \, \text{grams}}{2.44 \, \text{grams}} \][/tex]

4. Perform the Division:
[tex]\[ \text{Ratio of Na to Z} = 4.918032786885246 \][/tex]

Hence, the ratio of sodium to element "Z" in compound A is approximately [tex]\(4.92:1\)[/tex].