High School

Did you report your data to the correct number of significant figures?

Prepared solutions, absorbance, and calculated [tex]\([ \text{FeSCN}^{2+} ]\)[/tex]

[tex]\[
\begin{array}{|c|c|c|c|c|c|}
\hline
& \text{Solution 1} & \text{Solution 2} & \text{Solution 3} & \text{Solution 4} & \text{Solution 5} \\
\hline
\text{Concentration iron(III) nitrate} \left[ \text{Fe}\left(\text{NO}_3\right)_3\right](\text{M}) & 0.00200 & 0.00200 & 0.00200 & 0.00200 & 0.00200 \\
\hline
\text{Concentration potassium thiocyanate} [\text{KSCN}] (\text{M}) & 0.00200 & 0.00200 & 0.0020 & 0.00200 & 0.00200 \\
\hline
\text{Volume} \text{Fe}\left(\text{NO}_3\right)_3(\text{mL}) & 5.00 & 5.00 & 5.00 & 5.00 & 5.00 \\
\hline
\text{Volume KSCN (mL)} & 5.00 & 4.00 & 3.00 & 2.00 & 5.00 \\
\hline
\text{Volume DI water (mL)} & 0 & 1.00 & 2.00 & 3.00 & 1.00 \\
\hline
\text{Initial concentration} \left[ \text{Fe}^{3+} \right] (\text{M}) & 0.00 & 1.00 & 2.00 & 3.00 & 4.00 \\
\hline
\text{Absorbance} & 0.00100 & 0.000800 & 0.000600 & 0.000400 & 0.000200 \\
\hline
\text{Absorbance} & 0.269 & 0.192 & 0.154 & 0.104 & 0.052 \\
\hline
\text{Equilibrium} [\text{FeSCN}^{2+} ] (\text{M}) & & & & & \\
\hline
\text{Equilibrium constant} K_{c} & & & & & \\
\hline
\end{array}
\][/tex]

Answer :

To determine if the data has been reported with the correct number of significant figures, we first need to look at the provided values in the table and assess the number of significant figures used for each type of measurement.

1. Concentration of Iron(III) Nitrate:
- Values are given as 0.00200 M for all solutions.
- This indicates 3 significant figures: the two zeros after the decimal point and the last non-zero digit.

2. Concentration of Potassium Thiocyanate:
- Most values are written as 0.00200 M, except for Solution 3, which is 0.0020 M.
- The first four solutions have 3 significant figures, while the third has only 2 significant figures. To be consistent, it would be better if all had the same number of significant figures (3 in this case).

3. Volumes of Iron Nitrate:
- Given as 5.00 mL for solutions 1 to 4, showing 3 significant figures due to the decimal format. The value for Solution 5 is missing.

4. Volumes of Potassium Thiocyanate:
- Values range from 5.00 to 2.00 mL, all with 3 significant figures because they all include two decimal points. Solution 5 is given as 5.00 mL, aligning with this pattern.

5. Volumes of DI Water:
- Values given as 0, 1.00, and 2.00 mL, indicating 3 significant figures when decimals are provided. The data for Solution 3 is missing.

6. Initial Concentration of Iron:
- Values are inconsistent. The table suggests 0.00 to 4.00 M, which seem incorrect as they potentially should be similar to the concentration values or represent absolute measurements potentially misunderstood from context. They claim 3 but might be fluctuating between 2-3 based on what's intended.

7. Absorbance Values:
- Given in duplicate rows. The first row of absorbance measurements (e.g., 0.00100) shows 3 significant figures, while the second set (e.g., 0.269) shows 3 significant figures, assuming precision in measurements of absorbance.

For determination of Equilibrium [tex]$\left[ \text{FeSCN}^{2+} \right]$[/tex] and Equilibrium Constant [tex]$K_c$[/tex], the values are placeholders and are not available in the results. Therefore, no further calculation details or adjustments can be confirmed without those measurements.

Overall, aside from some possible inconsistencies in potassium thiocyanate concentrations (notably in solution 3), significant figures in most of the data appear to be correctly reported based on the provided resolution of instruments assumed for these measurements.