The PH Of A 0.02 M NH4Cl Solution Will Be - Vedantu
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The pH of a 0.02 M \[N{{H}_{4}}Cl\] solution will be: [given \[{{K}_{b}}(N{{H}_{4}}OH)={{10}^{-5}}\]and log 2 = 0.301].A. 4.65B. 5.35C. 4.35D. 2.65Answer
Verified595.5k+ viewsHint: Ammonium chloride (\[N{{H}_{4}}Cl\]) is a salt formed by the reaction of a strong acid (HCl) and a weak base (\[N{{H}_{4}}OH\]).The chemical reaction between HCl and \[N{{H}_{4}}OH\]is as follows.\[HCl+N{{H}_{4}}OH\to N{{H}_{4}}Cl+{{H}_{2}}O\]Complete step by step answer:-In the question it is given that the concentration of \[N{{H}_{4}}Cl\]is 0.02 M and base dissociation constant of \[N{{H}_{4}}OH\]is\[{{10}^{-5}}\]. - We have to find the pH of the 0.02 M \[N{{H}_{4}}Cl\] solution from the given data.-To calculate the pH of the \[N{{H}_{4}}Cl\]solution (formed by strong acid and weak base) there is a formula. The formula is as follows.\[pH=7-\dfrac{1}{2}[{{p}{{{K}_{b}}}}+\log C]\]Here pH = pH of the salt solution\[{{K}_{b}}\] = base dissociation constant (\[{{p}{{{K}_{b}}}}=-\log {{k}_{b}}\]) C = concentration of the salt - Now we have to substitute all the known values in the above formula to get the pH of the solution. \[\begin{align} & pH=7-\dfrac{1}{2}[{{p}{{{K}_{b}}}}+\log C] \\ & \text{ = 7}-\dfrac{1}{2}[\log {{10}^{-5}}+\log 0.02] \\ & \text{ = 7}-\dfrac{5}{2}-\dfrac{1}{2}(\log 2\times {{10}^{-2}}) \\ & \text{ = 5}\text{.35} \\ \end{align}\]-Therefore the pH of the ammonium chloride solution is 5.35.-So, the correct option is B. Note: Strong acid is an acid which dissolves in an aqueous solution and dissociates completely in less time. Example for a strong acid is Hydrochloric acid (HCl). Weak acid is an acid which does not dissociate completely in an aqueous solution. Example for weak acid is acetic acid (\[C{{H}_{3}}COOH\]). Strong base is a base which dissolves in an aqueous solution and dissociates completely in less time. Example for a strong base is sodium hydroxide (NaOH).Weak base is a base which does not dissociate completely in an aqueous solution. Example for a weak base is ammonium hydroxide (\[N{{H}_{4}}OH\]). Recently Updated PagesMaster Class 11 Business Studies: Engaging Questions & Answers for Success
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The pH of a 0.02 M \[N{{H}_{4}}Cl\] solution will be: [given \[{{K}_{b}}(N{{H}_{4}}OH)={{10}^{-5}}\]and log 2 = 0.301].A. 4.65B. 5.35C. 4.35D. 2.65Answer
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