1.

A mixutre solution of KOH and `Na_2CO_3` requires 15 " mL of " `(N)/(20)` HCl when titrated with phenolphthalein as indicator.But the same amoound of the solutions when titrated with methyl orange as indicator requires 25 " mL of " the same acid. Calculate the amount of KOH and `Na_2CO_3` present in the solution.

Answer» (a). With methyl orange as indicator:
Full titre value of KOH (let x mL)`+` full titre value of
`Na_2CO_3` (let y mL)`=25mL`
`x+y=25` .(i)
(b). With phenolphthalein as indicator:
Full titre value of KOH(x)`+(1)/(2)` titre value of `Na_2CO_3`
`((y)/(2))=15mL`
`x+(y)/(2)=15` ...(ii)
Solving (i) and (ii) we get
`x=5mL, y=20mL`
Full titre value of `Na_2CO_3=20mL`
m" Eq of "`Na_2CO_3=mEq ` of HCl
`=20xx(N)/(20)mEq` of `Na_2CO_3`
`=1xx10^(-3)xx53g of Na_2CO_3`
`=0.053g`
Volume of KOH`=25-20=5mEq` of `KOH`
`=5xx10^(-3)xx56g` of `KOH`
`=0.014` g of `KOH`


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