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Q. A buffer solution is prepared by mixing $ 0.1 \,M $ ammonia and $ 1.0\, M $ ammonium chloride. At $ 298\, k $ , the $ pk_{b} $ of $ NH_{4}OH $ is $ 5.0 $ . The $ PH $ of the buffer is

UPSEEUPSEE 2008

Solution:

From Henderson equation
$pOH=pK_{b}+log \frac{\text{[Salt]}}{\text{[Base]}}$
$pH + pOH = 14 $
$pOH =5.0+log \frac{\left[1.0\right]}{\left[0.1\right]}=5+log\,10=5+1$
$pOH =6$
$pH+ pOH=14$
$pH + 6 = 14$
$pH = 14 − 6$
$ = 8$