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NH(4)CN is a salt of weak acid HCN(K(a)=...

`NH_(4)CN` is a salt of weak acid `HCN(K_(a)=6.2xx10^(-10))` and a weak base `NH_(4)OH(K_(b)=1.8xx10^(-5))`. 1 molar solution of `NH_(4)CN` will be :-

A

neutral

B

strongly acidic

C

strongly basic

D

weakly basic.

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The correct Answer is:
To determine the nature of a 1 molar solution of `NH₄CN`, we need to analyze the properties of the salt formed from a weak acid and a weak base. Here’s a step-by-step solution: ### Step 1: Identify the components of the salt `NH₄CN` is formed from the weak acid `HCN` and the weak base `NH₄OH`. ### Step 2: Write down the equilibrium constants We are given: - The dissociation constant for the weak acid `HCN` (Ka) is \( 6.2 \times 10^{-10} \). - The dissociation constant for the weak base `NH₄OH` (Kb) is \( 1.8 \times 10^{-5} \). ### Step 3: Compare Ka and Kb To determine whether the solution of `NH₄CN` is acidic, basic, or neutral, we compare the values of Ka and Kb: - If \( K_a > K_b \), the solution is acidic. - If \( K_a < K_b \), the solution is basic. - If \( K_a = K_b \), the solution is neutral. Here, we see that: - \( K_b (1.8 \times 10^{-5}) > K_a (6.2 \times 10^{-10}) \) ### Step 4: Conclusion Since \( K_b \) is greater than \( K_a \), the solution of `NH₄CN` will be weakly basic. ### Final Answer A 1 molar solution of `NH₄CN` will be weakly basic. ---

To determine the nature of a 1 molar solution of `NH₄CN`, we need to analyze the properties of the salt formed from a weak acid and a weak base. Here’s a step-by-step solution: ### Step 1: Identify the components of the salt `NH₄CN` is formed from the weak acid `HCN` and the weak base `NH₄OH`. ### Step 2: Write down the equilibrium constants We are given: - The dissociation constant for the weak acid `HCN` (Ka) is \( 6.2 \times 10^{-10} \). ...
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