A 100 ml test portion from a mining site requires 9.62 mL of 0.000169M Ag+ titrant to reach the endpoint using the reaction described above. What is the CN^-1 concentration in this water sample?

Thank you.

Answer 1

The concentration of #"CN"^"⁻"# is 423 mg/L.

This seems to be a silver nitrate solution cyanide ion titration.

Titrate the 5-(p-dimethylaminobenzylidine)rhodanine indicator until the color changes from yellowish-brown to pink (or "salmon") for the first time.

The reaction's equation is

#"Ag"^+"(aq) + CN"^"⁻" "(aq)" → "AgCN(s)"#

The entailed conversions are

#"Volume of Ag"^+ → "moles of Ag"^+ → "moles of CN"^"⁻" → "mass of CN"^"⁻" → "concentration of CN"^"⁻"#
1. Moles of #"Ag"^+#
#"Moles of Ag"^+ = 9.62 color(red)(cancel(color(black)("mL Ag"^+))) × ("0.169 mmol Ag"^+)/(1 color(red)(cancel(color(black)("mL Ag"^+)))) = "1.626 mmol Ag"^+#
2. Moles of # "CN"^"⁻"#
#"Moles of CN"^"⁻" = 1.626 color(red)(cancel(color(black)("mmol Ag"^+))) × ("1 mmol CN"^"⁻")/(1 color(red)(cancel(color(black)("mmol Ag"^+)))) = "1.626 mmol CN"^"⁻"#
3. Mass of #"CN"^"⁻"#
#"Mass of CN"^"⁻" = 1.626 color(red)(cancel(color(black)("mmol CN"^"⁻"))) ×("26.02 mg CN"^"⁻")/(1color(red)(cancel(color(black)("mmol CN"^"⁻")))) ="42.30 mg CN"^"⁻"#
4. Concentration of #"CN"^"⁻"# in test portion
#["CN"^"⁻"] = "42.30 mg"/"0.100 L" = "423 mg/L"#
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Answer 2

To find the concentration of CN^-1 in the water sample, we first need to determine the moles of Ag^+ ions reacted with CN^-1 ions. Since 1 mole of Ag^+ reacts with 1 mole of CN^-, we can use the stoichiometry of the reaction to find the moles of CN^-1.

Moles of Ag^+ reacted = volume of titrant (in liters) * concentration of titrant (in mol/L) Moles of CN^-1 = Moles of Ag^+ reacted

Once we have the moles of CN^-1, we can calculate the concentration using the formula:

Concentration of CN^-1 = Moles of CN^-1 / Volume of water sample (in liters)

Let's plug in the values:

Moles of Ag^+ reacted = (9.62 mL / 1000 mL) * 0.000169 mol/L Concentration of CN^-1 = Moles of Ag^+ reacted / 0.1 L

After calculating, we find the concentration of CN^-1 in the water sample.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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