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Chemistry
Posted 5 months ago

16. For parts of the free response queatlon th. Open with atiows, clearly thow the marthod used and the steps involved in arriving at your answers. You must siow your work to receive credit for your answer.
Examples and equations may be included in your answers where appropriate.
A student wishes to determine the concentration of Ag+(aq)\mathrm{Ag}^{+}(a q) in a solution of AgNO3(aq)\mathrm{AgNO}_{3}(a q). The student combines 10.00 mL10.00 \mathrm{~mL} of AgNO3(aq)\mathrm{AgNO}_{3}(\mathrm{aq}) with excess Na2SO4(aq)\mathrm{Na}_{2} \mathrm{SO}_{4}(\mathrm{aq}) and observes the formation of a white precipitate. The formation of the precipitate is represented by the following equation.
2AgNO3(aq)+Na2SO4(aq)Ag2SO4(s)+2NaNO3(aq)2 \mathrm{AgNO}_{3}(a q)+\mathrm{Na}_{2} \mathrm{SO}_{4}(a q) \rightarrow \mathrm{Ag}_{2} \mathrm{SO}_{4}(s)+2 \mathrm{NaNO}_{3}(a q)
(a) Write the balanced net ionic equation for the precipitation reaction.
The student collects the precipitate by filtration and measures the mass of the filter paper and precipitate every 10 minutes as it dries. The student records the data in the following table.
\begin{tabular}{|c|c|}
\hline \multicolumn{1}{|c|}{ Mass of dry filter paper } & 0.88 g0.88 \mathrm{~g} \\
\hline Mass of filter paper and precipitate immediately after filtration & 4.82 g4.82 \mathrm{~g} \\
\hline Mass of filter paper and precipitate after 10 minutes & 4.37 g4.37 \mathrm{~g} \\
\hline Mass of filter paper and precipitate after 20 minutes & 4.01 g4.01 \mathrm{~g} \\
\hline Mass of filter paper and precipitate after 30 minutes & 3.79 g3.79 \mathrm{~g} \\
\hline
\end{tabular}
(b) Use the data above to calculate the number of moles of Ag2SO4(s)\mathrm{Ag}_{2} \mathrm{SO}_{4}(s) (molar mass 311.8 g/mol311.8 \mathrm{~g} / \mathrm{mol} ) that precipitated.
(c) Calculate the concentration of Ag(aq)\mathrm{Ag}^{\dagger}(a q) in the original 10.00 mL10.00 \mathrm{~mL} solution of AgNO3(aq)\mathrm{AgNO}_{3}(a q).
(d) The concentration of Ag+(aq)\mathrm{Ag}^{+}(a q) determined by the student is significantly higher than the actual concentration of Ag+(aq)\mathrm{Ag}^{+}(\mathrm{aq}) Based on the student's data table, identify an error in the experimental procedure that led to this result:
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Answer from Sia
Posted 5 months ago
Solution
1
Write the balanced net ionic equation: The balanced net ionic equation for the precipitation reaction between AgNO3\mathrm{AgNO}_3 and Na2SO4\mathrm{Na}_2\mathrm{SO}_4 involves the ions that form the precipitate
2
Calculate the mass of $\mathrm{Ag}_2\mathrm{SO}_4$ precipitated: Subtract the mass of the dry filter paper from the mass of the filter paper and precipitate after 30 minutes to find the mass of the precipitate
3
Determine the number of moles of $\mathrm{Ag}_2\mathrm{SO}_4$: Use the molar mass of Ag2SO4\mathrm{Ag}_2\mathrm{SO}_4 to convert the mass of the precipitate to moles
4
Calculate the concentration of $\mathrm{Ag}^+$: Use the number of moles of Ag2SO4\mathrm{Ag}_2\mathrm{SO}_4 to find the moles of Ag+\mathrm{Ag}^+, then divide by the volume of the AgNO3\mathrm{AgNO}_3 solution to get the concentration
5
Identify an error in the experimental procedure: Analyze the data table for inconsistencies or trends that could indicate an error in the experimental procedure
1 Answer
\mathrm{Ag}^+_{(aq)} + \mathrm{SO}_4^{2-}_{(aq)} \rightarrow \mathrm{Ag}_2\mathrm{SO}_4_{(s)}
2 Answer
Number of moles of Ag2SO4\mathrm{Ag}_2\mathrm{SO}_4 = (3.79 g0.88 g)311.8 g/mol\frac{(3.79 \mathrm{~g} - 0.88 \mathrm{~g})}{311.8 \mathrm{~g/mol}}
3 Answer
Concentration of Ag+\mathrm{Ag}^+ = moles of Ag2SO4×20.01000 L\frac{\text{moles of } \mathrm{Ag}_2\mathrm{SO}_4 \times 2}{0.01000 \mathrm{~L}}
4 Answer
Possible error: Incomplete drying of the precipitate, leading to an overestimation of the mass of Ag2SO4\mathrm{Ag}_2\mathrm{SO}_4.
Key Concept
The net ionic equation represents the ions that participate directly in the reaction, forming the precipitate.
Explanation
The net ionic equation excludes spectator ions and shows the formation of the insoluble compound.
Key Concept
The number of moles of a compound is calculated by dividing its mass by its molar mass.
Explanation
This calculation is essential for stoichiometry, allowing us to relate mass to moles for chemical reactions.
Key Concept
The concentration of ions in a solution is determined by the number of moles of the ion divided by the volume of the solution.
Explanation
This relationship is used to find the molarity of a solution, which is a measure of its concentration.
Key Concept
Experimental errors can affect the accuracy of the results.
Explanation
Identifying potential errors helps in understanding discrepancies between expected and observed results.

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