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Multiple Choice
A 120.0 mL sample of a solution that is 2.8 × 10^-3 M AgNO3 is mixed with 225.0 mL of a solution that is 0.10 M in NaCN. After the solution reaches equilibrium, what concentration of Ag+ remains?
A
2.8 × 10^-3 M
B
1.2 × 10^-4 M
C
0 M
D
5.6 × 10^-3 M
Verified step by step guidance
1
First, calculate the initial moles of AgNO3 in the 120.0 mL solution. Use the formula: \( \text{moles} = \text{concentration} \times \text{volume} \). Convert the volume from mL to L by dividing by 1000.
Next, calculate the initial moles of NaCN in the 225.0 mL solution using the same formula: \( \text{moles} = \text{concentration} \times \text{volume} \). Again, convert the volume from mL to L.
Write the balanced chemical equation for the reaction between AgNO3 and NaCN. The reaction is: \( \text{Ag}^+ + \text{CN}^- \rightarrow \text{Ag(CN)}_2^- \). This shows that Ag+ ions react with CN- ions to form a complex ion.
Determine the limiting reactant by comparing the initial moles of Ag+ and CN-. Since the reaction consumes Ag+ and CN- in a 1:1 ratio, the reactant with fewer moles will be the limiting reactant.
Calculate the concentration of Ag+ remaining after the reaction reaches equilibrium. Since Ag+ is the limiting reactant and reacts completely, the concentration of Ag+ will be zero.