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In the hydrolysis equilibrium B^(+)H(2...

In the hydrolysis equilibrium
`B^(+)H_(2)OhArrBOH+H^(+),K_(b)=1xx10^(-5)`
The hydrolysis constant is

A

`10^(-5)`

B

`10^(-19)`

C

`10^(-10)`

D

`10^(-9)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the hydrolysis constant \( K_H \) for the given equilibrium reaction: \[ B^+ + H_2O \rightleftharpoons BOH + H^+ \] we can use the relationship between the hydrolysis constant \( K_H \), the ion product of water \( K_W \), and the base dissociation constant \( K_B \). ### Step-by-Step Solution: 1. **Identify the Given Values:** - The base dissociation constant \( K_B \) is given as: \[ K_B = 1 \times 10^{-5} \] - The ion product of water \( K_W \) at 25°C is: \[ K_W = 1 \times 10^{-14} \] 2. **Write the Relationship Between Constants:** The relationship between the hydrolysis constant \( K_H \), the ion product of water \( K_W \), and the base dissociation constant \( K_B \) is given by: \[ K_H = \frac{K_W}{K_B} \] 3. **Substitute the Values:** Now, substitute the known values into the equation: \[ K_H = \frac{1 \times 10^{-14}}{1 \times 10^{-5}} \] 4. **Perform the Calculation:** \[ K_H = 1 \times 10^{-14} \div 1 \times 10^{-5} = 1 \times 10^{-9} \] 5. **Final Result:** Therefore, the hydrolysis constant \( K_H \) is: \[ K_H = 1 \times 10^{-9} \] ### Conclusion: The hydrolysis constant \( K_H \) for the given equilibrium is \( 1 \times 10^{-9} \).

To find the hydrolysis constant \( K_H \) for the given equilibrium reaction: \[ B^+ + H_2O \rightleftharpoons BOH + H^+ \] we can use the relationship between the hydrolysis constant \( K_H \), the ion product of water \( K_W \), and the base dissociation constant \( K_B \). ...
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