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In: Chemistry

What mass of HCl gas must be added to 1.00 L of a buffer solution that...

What mass of HCl gas must be added to 1.00 L of a buffer solution that contains [aceticacid]=2.0M and [acetate]=1.0M in order to produce a solution with pH = 3.73?

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Expert Solution

let molarity of HCl = x

[aceticacid]=2+x

[acetate]=1-x

PH   = Pka + log[acetate]/ [aceticacid]

3.73   = 4.75 + log1-x/2+x

log1-x/2+x = 3.73-4.75

log1-x/2+x   = -1.02

1-x/2+x       = 10-1.02

1-x/2+x      = 0.0955

1-x           = 0.0955*(2+x)

x          = 0.74

molarity of HCl   = x = 0.74 M

no of moles of HCl   = molarity * volume In L

                                = 0.74*1 = 0.74 moles

mass of HCl            = no of moles * gram molar mass

                               = 0.74*36.5   = 27.01g of HCl >>>>> answer


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