What is the pH of 1 , M , NH_4Cl_{(aq)} at 25 | vedclass

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(B) $NH_4Cl$ is a salt of a strong acid $(HCl)$ and a weak base $(NH_4OH)$.When dissolved in water,it undergoes cationic hydrolysis:$NH_4^+ + H_2O \ri

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Between $6$ and $7$

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(B) $NH_4Cl$ is a salt of a strong acid $(HCl)$ and a weak base $(NH_4OH)$.When dissolved in water,it undergoes cationic hydrolysis:$NH_4^+ + H_2O \rightleftharpoons NH_4OH + H^+$Since $H^+$ ions are produced,the solution becomes acidic.For a salt of a strong acid and a weak base,the $pH$ is given by the formula:$pH = \frac{1}{2} [pK_w - pK_b - \log C]$Given $C = 1 \, M$,$\log(1) = 0$.$pH = \frac{1}{2} [14 - 4.74 - 0] = \frac{9.26}{2} = 4.63$.Thus,the $pH$ is between $6$ and $7$ (specifically,it is less than $7$).

What is the $pH$ of $1 \, M \, NH_4Cl_{(aq)}$ at $25 \, ^\circ C$?

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