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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 HCI`. What is the pH of the mixture ? (`pK_(b)` of ammonia solution is `4.74.`)

A

`4.74`

B

`2.26`

C

`9.26`

D

`5.00`

Text Solution

Verified by Experts

The correct Answer is:
C

`{:(NH_(4)OH,+,HCl,hArr,NH_(4)Cl,+,H_(2)O,),(40 xx 0.1 ,,20 xx 0.1,,0,,0,"Intial concentration"),(4-2=2,,0,,2,,2," final concentration"):}`
Finally we have a basic buffer solution with equal concentration of weak base `NH_(4)OH` and salt `NH_(4)Cl` .
`pOH = pK_(b) + log. (["Salt"])/(["base"])`
`pOH = 4.74 ` [Salt ] = [Base ]
`pH = 14 - 4.74 = 9.26`
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