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40 ml of 0.1 M ammonia is mixed with 20 ...

40 ml of `0.1` M ammonia is mixed with 20 ml of `0.1 M HCl`. What is the pH of the mixture ? (`pK_(b)` of ammonia solution is `4.74.`)

A

4.74

B

2.36

C

9.26

D

`5.00`

Text Solution

Verified by Experts

The correct Answer is:
c

40 ml. of `0.1` M ammonia solution `=40xx0.1`
= 4 mili equivalent ammonia solution
`20" ml of 0.1 M HC "20xx0.1`
= 2 mili equivalent of HCI
`NH_(4)OH+HCI to NH_(4) +H_(2)O`
`{:("Initial mili eqv",4,2,0),("Mili-eqv. after",4-2,0,2):}`
reaction=2
`:. rho OH=K_(b)+"log"_(10)([NH_(4)CI])/([NH_(4)OH])=4.74 "log" (2)/(2)`
`=4.74+log 1= 4.74`
`:. p H=14-4.74=9.26`
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