Solve Ka for Weak Acid HCN - 0.18mol KCN in 1.00L, pH 9.70, 298K

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To calculate the Ka for the weak acid HCN from the given data, start by determining the Kb using the equilibrium concentrations. The pH of 9.70 allows for the calculation of pOH and the hydroxide ion concentration [OH-]. With the equilibrium concentration of CN- at 0.13M, use the Kb expression to find the concentration of HCN. Finally, apply the relationship between Ka and Kb to derive Ka for HCN. This approach utilizes the Henderson-Hasselbalch equation for accurate results.
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hi forum,
would nebody be able to help me solve this problem?

0.18mol of potassium cyanide (KCN) was dissolved in 1.00L of a solution in which the pH was held constant at 9.70 at a temperature of 298K.

the equilibrium concentration of CN- was 0.13M.

Calculate Ka for the weak acid HCN.

ne help would be greatly appreciated. :)
 
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Use Henderson-Hassebalch equation. It won't be difficult to calculate equilibrium concentrations of HCN and CN- - just enter them into HH and solve for pKa.
 
hi forum,
would nebody be able to help me solve this problem?

0.18mol of potassium cyanide (KCN) was dissolved in 1.00L of a solution in which the pH was held constant at 9.70 at a temperature of 298K.

the equilibrium concentration of CN- was 0.13M.

Calculate Ka for the weak acid HCN.

ne help would be greatly appreciated. :)

Start with finding Kb

Kb= \frac{[OH-][HCN]}{[CN-]}

You can find the initial concentration, you also know the equilibrium concentration, thus you can find how much of CN- reacted. It also says that the pH was held constant. From the pH given, find the pOH, from this calculate the concentration of hydroxide [OH-]. This is the equilibrium concentration thus you can plug it back into the equilibrium equation.

How would you find the HCN concentration to solve for Kb...and then Ka?
 
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